{"id":28030,"date":"2022-02-18T18:03:41","date_gmt":"2022-02-18T12:33:41","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=28030"},"modified":"2022-02-18T18:03:41","modified_gmt":"2022-02-18T12:33:41","slug":"ap-board-8th-class-maths-solutions-chapter-11-ex-11-2-in-telugu","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-8th-class-maths-solutions-chapter-11-ex-11-2-in-telugu\/","title":{"rendered":"AP Board 8th Class Maths Solutions Chapter 11 \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Ex 11.2"},"content":{"rendered":"

AP SCERT 8th Class Maths Textbook Solutions<\/a> Chapter 11 \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Ex 11.2 Textbook Exercise Questions and Answers.<\/p>\n

AP State Syllabus 8th Class Maths Solutions 11th Lesson \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Exercise 11.2<\/h2>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1.
\n\u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15\u0c28\u0c41 \u0c2a\u0c42\u0c30\u0c4d\u0c24\u0c3f \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f.
\n\"AP
\n\u0c38\u0c3e\u0c27\u0c28.
\n\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 2.
\n4y (3y + 4)\u0c28\u0c41 \u0c38\u0c42\u0c15\u0c4d\u0c37\u0c4d\u0c2e\u0c40\u0c15\u0c30\u0c3f\u0c02\u0c1a\u0c02\u0c26\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n4y (3y + 4) = 4y \u00d7 3y + 4y \u00d7 4
\n= 12y2<\/sup> + 16y<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 3.
\nx (2x2<\/sup> – 7x + 3) \u0c28\u0c41 \u0c38\u0c42\u0c15\u0c4d\u0c37\u0c4d\u0c2e\u0c40\u0c15\u0c30\u0c3f\u0c02\u0c1a\u0c3f
\n(i) x = 1 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 (ii) x = 0 \u0c35\u0c3f\u0c32\u0c41\u0c35\u0c32\u0c15\u0c41 \u0c32\u0c2c\u0c4d\u0c27\u0c02 \u0c35\u0c3f\u0c32\u0c41\u0c35 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\nx (2x2<\/sup> – 7x + 3)
\n= x \u00d7 2x2<\/sup> – x \u00d7 7x + x \u00d7 3
\n= 2x3<\/sup> – 7x2<\/sup> + 3x<\/p>\n

(i) x = 1 \u0c05\u0c2f\u0c3f\u0c28 2x3<\/sup> – 7x2<\/sup> + 3x
\n= 2(1)3<\/sup> – 7(1)2<\/sup> + 3(1)
\n= 2 – 7 + 3 = – 2<\/p>\n

(ii) x = 0 \u0c05\u0c2f\u0c3f\u0c28 2x3<\/sup> – 7x2<\/sup> + 3x
\n= 2(0)3<\/sup> – 7(0)3<\/sup> + 3(0) = 0<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 4.
\n\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c32\u0c2c\u0c3e\u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.
\na(a – b), b(b – c), c(c – a)
\n\u0c38\u0c3e\u0c27\u0c28.
\na (a – b) + b (b – c) + c (c – a)
\n= a \u00d7 a – a \u00d7 b + b \u00d7 b – b \u00d7 c + c \u00d7 c – c \u00d7 a
\n= a2<\/sup> – ab + b2<\/sup> – bc + c2<\/sup> – ca
\n= a2<\/sup> + b2<\/sup> + c2<\/sup> – ab – bc – ca<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 5.
\n\u0c08 \u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c32\u0c2c\u0c4d\u0c26\u0c3e\u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.
\nx(x + y – r), y(x – y + r), z(x – y – z)
\n\u0c38\u0c3e\u0c27\u0c28.
\nx (x + y – r) + y (x – y + r) + z (x – y – z)
\n= x2<\/sup> + xy – xr + xy – y2<\/sup> + yr + zx – yz – z2<\/sup>
\n= x2<\/sup> – y2<\/sup> – z2<\/sup> + 2xy – xr + yr + zx – yz<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 6.
\n3x(x + 2y) \u0c32\u0c2c\u0c4d\u0c27\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f 2x(5x – y) \u0c32\u0c2c\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c24\u0c40\u0c38\u0c3f\u0c35\u0c47\u0c2f\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n3x (x + 2y) – 2x (5x – y)
\n= (3x \u00d7 x + 3x \u00d7 2y) – (2x \u00d7 5x – 2x \u00d7 y)
\n= 3x2<\/sup> + 6xy – (10x2<\/sup> – 2xy)
\n= 3x2<\/sup> + 6xy – 10x2<\/sup> + 2xy
\n= 8xy – 7x2<\/sup><\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 7.
\n6k(2k + 3l – 2m) \u0c28\u0c41\u0c02\u0c21\u0c3f 3k(5k – l + 3m) \u0c28\u0c41 \u0c24\u0c40\u0c38\u0c3f\u0c35\u0c47\u0c2f\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n6k (2k + 3l – 2m) – 3k (5k – l + 3m)
\n= 12k2<\/sup> + 18kl – 12km – 15k2<\/sup> + 3kl – 9km
\n= – 3k2<\/sup> + 21kl – 21km<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 8.
\na2<\/sup>(a – b + c) + b2<\/sup> (a + b – c) – c2<\/sup> (a – b – c)\u0c28\u0c3f \u0c38\u0c42\u0c15\u0c4d\u0c37\u0c4d\u0c2e\u0c40\u0c15\u0c30\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\na2<\/sup>(a – b + c) + b2<\/sup>(a + b – c) – c2<\/sup> (a – b – c)
\n= a3<\/sup> – a2<\/sup>b + a2<\/sup>c + ab2<\/sup> + b3<\/sup> – cb2<\/sup> – c2<\/sup>a + c2<\/sup>b + c3<\/sup>
\n= a3<\/sup> + b3<\/sup> + c3<\/sup> – a2<\/sup>b + ab2<\/sup> – cb2<\/sup> – c2<\/sup>a + c2<\/sup>b + a2<\/sup>c<\/p>\n","protected":false},"excerpt":{"rendered":"

AP SCERT 8th Class Maths Textbook Solutions Chapter 11 \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Ex 11.2 Textbook Exercise Questions and Answers. AP State Syllabus 8th Class Maths Solutions 11th Lesson \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Exercise 11.2 \u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1. \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15\u0c28\u0c41 \u0c2a\u0c42\u0c30\u0c4d\u0c24\u0c3f \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f. \u0c38\u0c3e\u0c27\u0c28. \u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 2. 4y (3y + 4)\u0c28\u0c41 \u0c38\u0c42\u0c15\u0c4d\u0c37\u0c4d\u0c2e\u0c40\u0c15\u0c30\u0c3f\u0c02\u0c1a\u0c02\u0c26\u0c3f. \u0c38\u0c3e\u0c27\u0c28. 4y (3y + 4) = 4y \u00d7 3y + 4y …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/28030"}],"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\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=28030"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/28030\/revisions"}],"predecessor-version":[{"id":28033,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/28030\/revisions\/28033"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=28030"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=28030"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=28030"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}