{"id":31032,"date":"2022-03-22T15:03:29","date_gmt":"2022-03-22T09:33:29","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=31032"},"modified":"2022-03-22T16:38:42","modified_gmt":"2022-03-22T11:08:42","slug":"ap-10th-class-maths-important-questions-chapter-5-in-telugu-medium","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-10th-class-maths-important-questions-chapter-5-in-telugu-medium\/","title":{"rendered":"AP 10th Class Maths Important Questions Chapter 5 \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c3e\u0c32\u0c41"},"content":{"rendered":"

These AP 10th Class Maths Chapter Wise Important Questions<\/a> 5th Lesson \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c3e\u0c32\u0c41 will help students prepare well for the exams.<\/p>\n

AP Board 10th Class Maths 5th Lesson Important Questions and Answers \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c3e\u0c32\u0c41<\/h2>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1.
\nb2<\/sup> – 4ac \u2265 0 \u0c05\u0c2f\u0c3f\u0c28\u0c2a\u0c41\u0c21\u0c41 ax2<\/sup> + bx + c = 0 \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23 \u0c2e\u0c42\u0c32\u0c3e\u0c32\u0c41 \u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\nb2<\/sup> – 4ac \u2265 0 \u0c05\u0c2f\u0c3f\u0c28\u0c2a\u0c41\u0c21\u0c41
\nax2<\/sup> + bx + c = 0 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2e\u0c4a\u0c26\u0c1f\u0c3f \u0c2e\u0c42\u0c32\u0c02 = \\(\\frac{-b+\\sqrt{b^{2}-4 a c}}{2 a}\\) \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c30\u0c46\u0c02\u0c21\u0c35 \u0c2e\u0c42\u0c32\u0c02 \\(\\frac{-b-\\sqrt{b^{2}-4 a c}}{2 a}\\)<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 2.
\n\u0c30\u0c46\u0c02\u0c21\u0c41 \u0c2a\u0c42\u0c30\u0c15 \u0c15\u0c4b\u0c23\u0c2e\u0c41\u0c32\u0c32\u0c4b \u0c2a\u0c46\u0c26\u0c4d\u0c26 \u0c15\u0c4b\u0c23\u0c2e\u0c41 \u0c1a\u0c3f\u0c28\u0c4d\u0c28 \u0c15\u0c4b\u0c23\u0c2e\u0c41 \u0c15\u0c28\u0c4d\u0c28\u0c3e 18\u00b0\u0c0e\u0c15\u0c4d\u0c15\u0c41\u0c35 \u0c05\u0c2f\u0c3f\u0c28 \u0c06 \u0c15\u0c4b\u0c23\u0c2e\u0c41\u0c32\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c41\u0c2e\u0c41.
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c1a\u0c3f\u0c28\u0c4d\u0c28 \u0c15\u0c4b\u0c23\u0c2e\u0c41 = x\u00b0
\n\u0c2a\u0c46\u0c26\u0c4d\u0c26 \u0c15\u0c4b\u0c23\u0c2e\u0c41 = y\u00b0 \u0c05\u0c28\u0c41\u0c15\u0c4a\u0c28\u0c41\u0c2e\u0c41
\n\u0c08 \u0c30\u0c46\u0c02\u0c21\u0c41 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41 \u0c2a\u0c42\u0c30\u0c15 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41.
\n\u0c15\u0c3e\u0c35\u0c41\u0c28 x + y = 90\u00b0 …………. (1)
\n\u0c2a\u0c46\u0c26\u0c4d\u0c26 \u0c15\u0c4b\u0c23\u0c02, \u0c1a\u0c3f\u0c28\u0c4d\u0c28 \u0c15\u0c4b\u0c23\u0c02 \u0c15\u0c02\u0c1f\u0c47 18\u00b0 \u0c0e\u0c15\u0c4d\u0c15\u0c41\u0c35
\n\u0c15\u0c3e\u0c35\u0c41\u0c28 y_x = 18\u00b0………….. (2)
\n(1), (2) \u0c32\u0c28\u0c41 \u0c38\u0c3e\u0c27\u0c3f\u0c02\u0c1a\u0c3f x = 36\u00b0; y = 54\u00b0.<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 3.
\n2x2<\/sup> – 4x + 3 = 0 \u0c05\u0c28\u0c47 \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c2e\u0c41 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c35\u0c3f\u0c1a\u0c15\u0c4d\u0c37\u0c23\u0c3f \u0c0e\u0c02\u0c24 ?
\n\u0c38\u0c3e\u0c27\u0c28.
\nax2<\/sup> + bx + c = 0 \u0c05\u0c28\u0c47 \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c2e\u0c41 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c35\u0c3f\u0c1a\u0c15\u0c4d\u0c37\u0c23\u0c3f = b2<\/sup> – 4ac
\n\u0c26\u0c24\u0c4d\u0c24\u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c2e\u0c41 = 2x2<\/sup> – 4x + 3 = 0
\n\u0c26\u0c24\u0c4d\u0c24\u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c02\u0c24\u0c4b \u0c2a\u0c4b\u0c32\u0c4d\u0c1a\u0c17\u0c3e, a = 2, b = – 4, c = 3
\n\u2234 \u0c35\u0c3f\u0c1a\u0c15\u0c4d\u0c37\u0c23\u0c3f = b2<\/sup> – 4ac = (- 4)2<\/sup> – 4(2) (3)
\n= 16 – 24 = – 8
\n\u2234 \u0c35\u0c3f\u0c1a\u0c15\u0c4d\u0c37\u0c23\u0c3f = – 8..<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 4.
\nx + \\(\\frac{6}{x}\\) = 7, x = 0 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c02 \u0c2e\u0c42\u0c32\u0c3e\u0c32\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\nx + \\(\\frac{6}{x}\\) = 7
\n\u21d2 \\(\\frac{x^{2}+6}{x}\\) = 7
\n\u21d2 x2<\/sup> – 7x + 6 = 0 .
\n\u21d2 (x – 6) (x – 1) = 0
\nx = 6 \u0c32\u0c47\u0c26\u0c3e 1
\n\u2234 \u0c2e\u0c42\u0c32\u0c2e\u0c41\u0c32\u0c41 = 6, 1.<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 5.
\n120 \u0c1a.\u0c2a\u0c4d\u0c30.\u0c32 \u0c35\u0c48\u0c36\u0c3e\u0c32\u0c4d\u0c2f\u0c02 \u0c17\u0c32 \u0c26\u0c40\u0c30\u0c4d\u0c18 \u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2a\u0c4a\u0c21\u0c35\u0c41, \u0c26\u0c3e\u0c28\u0c3f \u0c35\u0c46\u0c21\u0c32\u0c4d\u0c2a\u0c41 \u0c15\u0c28\u0c4d\u0c28\u0c3e 2 \u0c2a\u0c4d\u0c30\u0c2e\u0c3e\u0c23\u0c3e\u0c32\u0c41 \u0c0e\u0c15\u0c4d\u0c15\u0c41\u0c35\u0c48\u0c28 \u0c26\u0c3e\u0c28\u0c3f \u0c2a\u0c4a\u0c21\u0c35\u0c41\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02 \u0c35\u0c46\u0c21\u0c32\u0c4d\u0c2a\u0c41 = x
\n\u0c2a\u0c4a\u0c21\u0c35\u0c41 = x + 2
\n\u0c35\u0c48\u0c36\u0c3e\u0c32\u0c4d\u0c2f\u0c02 = 120 \u0c1a\u0c26\u0c30\u0c2a\u0c41 \u0c2a\u0c4d\u0c30\u0c2e\u0c3e\u0c23\u0c3e\u0c32\u0c41
\nx(x + 2) = 120
\nx2<\/sup> + 2x – 120 = 0
\n(x + 12) (x – 10) = 0
\nx = – 12 \u0c32\u0c47\u0c26\u0c3e x = 10
\n\u0c35\u0c46\u0c21\u0c32\u0c4d\u0c2a\u0c41 \u0c0b\u0c23\u0c3e\u0c24\u0c4d\u0c2e\u0c15\u0c02\u0c17\u0c3e \u0c09\u0c02\u0c21\u0c26\u0c41. \u0c15\u0c3e\u0c35\u0c41\u0c28 \u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02 \u0c35\u0c46\u0c21\u0c32\u0c4d\u0c2a\u0c41 (x) = 10 \u0c2a\u0c4d\u0c30\u0c2e\u0c3e\u0c23\u0c3e\u0c32\u0c41
\n\u0c2a\u0c4a\u0c21\u0c35\u0c41 = x + 2 = 12 \u0c2a\u0c4d\u0c30\u0c2e\u0c3e\u0c23\u0c3e\u0c32\u0c41.<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 6.
\n\u0c30\u0c46\u0c02\u0c21\u0c41 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32 \u0c2e\u0c27\u0c4d\u0c2f \u0c2d\u0c47\u0c26\u0c2e\u0c41 4 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c06 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32 \u0c32\u0c2c\u0c4d\u0c26\u0c2e\u0c41 192 \u0c05\u0c2f\u0c3f\u0c28 \u0c06 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c41\u0c2e\u0c41.
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c2a\u0c46\u0c26\u0c4d\u0c26 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c28\u0c41 ‘x’ \u0c05\u0c28\u0c41\u0c15\u0c4a\u0c28\u0c41\u0c2e\u0c41.
\n\u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32 \u0c2d\u0c47\u0c26\u0c2e\u0c41 4 \u0c15\u0c28\u0c41\u0c15 \u0c1a\u0c3f\u0c28\u0c4d\u0c28 \u0c38\u0c02\u0c16\u0c4d\u0c2f = (x – 4)
\n\u0c35\u0c40\u0c1f\u0c3f \u0c32\u0c2c\u0c4d\u0c27\u0c2e\u0c41 = x(x – 4)
\n\u0c32\u0c46\u0c15\u0c4d\u0c15 \u0c2a\u0c4d\u0c30\u0c15\u0c3e\u0c30\u0c02 \u0c32\u0c2c\u0c4d\u0c26\u0c2e\u0c41 = 192
\n\u2234 x(x – 4) = 192
\n\u21d2 x2 – 4x \u2013 192 = 0
\n\u21d2 x2 – 16x + 12x – 192 = 0
\n\u21d2 x(x – 16) + 12(x – 16) = 0
\n\u21d2 (x – 16)(x + 12) = 0
\n\u21d2 x = 16 or x = – 12
\nx = 16 \u0c05\u0c2f\u0c3f\u0c28 x – 4 = 12
\n\u0c05\u0c2a\u0c4d\u0c2a\u0c41\u0c21\u0c41 \u0c06 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c41 16 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 12.
\nx = – 12 \u0c05\u0c2f\u0c3f\u0c28 x – 4 = -16
\n\u0c05\u0c2a\u0c4d\u0c2a\u0c41\u0c21\u0c41 \u0c06 \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32\u0c41 – 12 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 – 16.<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 7.
\n\u0c30\u0c46\u0c02\u0c21\u0c41 \u0c38\u0c02\u0c2a\u0c42\u0c30\u0c15 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c32\u0c4b \u0c2a\u0c46\u0c26\u0c4d\u0c26 \u0c15\u0c4b\u0c23\u0c2e\u0c41, \u0c1a\u0c3f\u0c28\u0c4d\u0c28 \u0c15\u0c4b\u0c23\u0c2e\u0c41 \u0c15\u0c28\u0c4d\u0c28\u0c3e 58\u00b0 \u0c0e\u0c15\u0c4d\u0c15\u0c41\u0c35. \u0c05\u0c2f\u0c3f\u0c28 \u0c06 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c15\u0c3e\u0c35\u0c32\u0c38\u0c3f\u0c28 \u0c38\u0c02\u0c2a\u0c42\u0c30\u0c15 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41 x \u0c2e\u0c30\u0c3f\u0c2f\u0c41 y \u0c05\u0c28\u0c41\u0c15\u0c4a\u0c28\u0c41\u0c2e\u0c41.
\n\u2234 x + y = 180\u00b0 …………….(1)
\n\u0c2a\u0c46\u0c26\u0c4d\u0c26 \u0c15\u0c4b\u0c23\u0c2e\u0c41, \u0c1a\u0c3f\u0c28\u0c4d\u0c28 \u0c15\u0c4b\u0c23\u0c2e\u0c41 \u0c15\u0c28\u0c4d\u0c28\u0c3e 58\u00b0 \u0c0e\u0c15\u0c4d\u0c15\u0c41\u0c35.
\n\u2234 x – y = 58\u00b0 ……………….(2)<\/p>\n

\"AP<\/p>\n

\u2234 x = \\(\\frac{238}{2}\\) = 119\u00b0
\n119\u00b0 + y = 180\u00b0
\n\u2234 y = 180\u00b0 – 119\u00b0 = 61\u00b0<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 8.
\n(3x – 2)2<\/sup> – 4(3x – 2) + 3 = 0 \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23 \u0c2e\u0c42\u0c32\u0c3e\u0c32\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c15\u0c4d\u0c15\u0c4b\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n(3x – 2)2<\/sup> – 4(3x -2) + 3 = 0.
\n9x2<\/sup> + 4 – 12x – 12x + 8 + 3 = 0
\n9x2<\/sup> – 24x + 15 = 0
\n3x2<\/sup> – 8x + 5 = 0
\n3x2<\/sup> – 3x – 5x + 5 = 0
\n3x(x – 1) – 5 (x – 1) = 0
\n(x + 1) (3x – 5) = 0
\nx = 1 (\u0c32\u0c47\u0c26\u0c3e) x = 1
\n\u2234 \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23 \u0c2e\u0c42\u0c32\u0c3e\u0c32\u0c41 1, \\(\\frac{5}{3}\\).<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 9.
\n3x2<\/sup> + 11x + 10 = 0 \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c2e\u0c41\u0c28\u0c41 \u0c35\u0c30\u0c4d\u0c17\u0c2e\u0c41\u0c28\u0c41 \u0c2a\u0c42\u0c30\u0c4d\u0c24\u0c3f \u0c1a\u0c47\u0c2f\u0c41\u0c1f \u0c26\u0c4d\u0c35\u0c3e\u0c30\u0c3e \u0c38\u0c3e\u0c27\u0c3f\u0c02\u0c1a\u0c41\u0c2e\u0c41.
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c2e\u0c41 : 3x2<\/sup> + 11x + 10 = 0
\n\u0c07\u0c30\u0c41\u0c35\u0c48\u0c2a\u0c41\u0c32\u0c3e 3 \u0c1a\u0c47 \u0c2d\u0c3e\u0c17\u0c3f\u0c02\u0c1a\u0c17\u0c3e
\nx2<\/sup> + \\(\\frac{11}{3}\\) x + \\(\\frac{10}{3}\\) = 0
\nx2<\/sup> + \\(\\frac{11}{3}\\) x = – \\(\\frac{10}{3}\\)
\n\u0c07\u0c30\u0c41\u0c35\u0c48\u0c2a\u0c41\u0c32\u0c3e (\\(\\frac{11}{6}\\))2<\/sup> \u0c28\u0c41 \u0c15\u0c42\u0c21\u0c17\u0c3e
\nx2<\/sup> + \\(\\frac{11}{3}\\) x + (\\(\\frac{11}{6}\\))2<\/sup> = – \\(\\frac{10}{3}\\) + (\\(\\frac{11}{6}\\))2<\/sup><\/p>\n

(x + \\(\\frac{11}{6}\\))2<\/sup> = – \\(\\frac{10}{3}\\) + \\(\\frac{121}{36}\\)
\n= \\(\\frac{-120+121}{36}\\)<\/p>\n

x + \\(\\frac{11}{6}\\) = \u00b1 \\(\\sqrt{\\frac{1}{36}}\\)
\nx + \\(\\frac{11}{6}\\) = \u00b1 \\(\\frac{1}{6}\\)
\nx + \\(\\frac{11}{6}\\) = \\(\\frac{1}{6}\\) (\u0c32\u0c47\u0c26\u0c3e) x + \\(\\frac{11}{6}\\) = – \\(\\frac{1}{6}\\)
\nx = \\(\\frac{1}{6}\\) – \\(\\frac{11}{6}\\) (\u0c32\u0c47\u0c26\u0c3e) x = – \\(\\frac{1}{6}\\) – \\(\\frac{11}{6}\\)
\nx = \\(\\frac{-10}{6}\\) (\u0c32\u0c47\u0c26\u0c3e) x = \\(-\\frac{12}{6}\\)
\nx = \\(\\frac{-5}{3}\\) (\u0c32\u0c47\u0c26\u0c3e) x = – 2.<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 10.
\n9x2<\/sup> – 9x + 2 = 0 \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c35\u0c30\u0c4d\u0c17\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c2a\u0c42\u0c30\u0c4d\u0c24\u0c3f \u0c1a\u0c47\u0c2f\u0c41 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f \u0c26\u0c4d\u0c35\u0c3e\u0c30\u0c3e \u0c38\u0c3e\u0c27\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c02 \u0c2a\u0c4d\u0c30\u0c15\u0c3e\u0c30\u0c02 9x2<\/sup> – 9x + 2 = 0
\n\u21d2 x2<\/sup> – x + \\(\\frac{2}{9}\\) = 0
\n\u21d2 x2<\/sup> – x = – \\(\\frac{2}{9}\\)
\n\u21d2 x2<\/sup> – 2 x \\(\\frac{1}{2}\\) + (\\(\\frac{1}{2}\\))2<\/sup> = – \\(\\frac{2}{9}\\) + (\\(\\frac{1}{2}\\))2<\/sup>
\n\u21d2 (x – \\(\\frac{1}{2}\\))2<\/sup> = \\(-\\frac{2}{9}+\\frac{1}{4}=\\frac{-8+9}{36}=\\frac{1}{36}\\)
\n\u21d2 (x – \\(\\frac{1}{2}\\))2<\/sup> = \\(\\frac{1}{36}\\)
\n\u2234 x – \\(\\frac{1}{2}\\) = \u00b1 \\(\\frac{1}{6}\\)
\n\u2234 x = \\(\\frac{1}{6}\\) + \\(\\frac{1}{2}\\) (\u0c32\u0c47\u0c26\u0c3e) – \\(\\frac{1}{6}\\) + \\(\\frac{1}{2}\\)
\n\u2234 x = \\(\\frac{1+3}{6}\\) (\u0c32\u0c47\u0c26\u0c3e) \\(\\frac{-1+3}{6}\\)
\n\u2234 x = \\(\\frac{4}{6}=\\frac{2}{3}\\) (\u0c32\u0c47\u0c26\u0c3e) \\(\\frac{2}{6}=\\frac{1}{3}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

These AP 10th Class Maths Chapter Wise Important Questions 5th Lesson \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c3e\u0c32\u0c41 will help students prepare well for the exams. AP Board 10th Class Maths 5th Lesson Important Questions and Answers \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23\u0c3e\u0c32\u0c41 \u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1. b2 – 4ac \u2265 0 \u0c05\u0c2f\u0c3f\u0c28\u0c2a\u0c41\u0c21\u0c41 ax2 + bx + c = 0 \u0c35\u0c30\u0c4d\u0c17 \u0c38\u0c2e\u0c40\u0c15\u0c30\u0c23 \u0c2e\u0c42\u0c32\u0c3e\u0c32\u0c41 \u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f. \u0c38\u0c3e\u0c27\u0c28. b2 …<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[13],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/31032"}],"collection":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=31032"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/31032\/revisions"}],"predecessor-version":[{"id":31034,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/31032\/revisions\/31034"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=31032"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=31032"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=31032"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}