{"id":4436,"date":"2021-03-01T09:43:04","date_gmt":"2021-03-01T04:13:04","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=4436"},"modified":"2021-09-15T11:40:37","modified_gmt":"2021-09-15T06:10:37","slug":"ap-board-9th-class-maths-solutions-chapter-6-ex-6-4","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-9th-class-maths-solutions-chapter-6-ex-6-4\/","title":{"rendered":"AP Board 9th Class Maths Solutions Chapter 6 Linear Equation in Two Variables Ex 6.4"},"content":{"rendered":"

AP State Syllabus\u00a0AP Board 9th Class Maths Solutions<\/a> Chapter 6 Linear Equation in Two Variables Ex 6.4 Textbook Questions and Answers.<\/p>\n

AP State Syllabus 9th Class Maths Solutions 6th Lesson Linear Equation in Two Variables Exercise 6.4<\/h2>\n

Question 1.
\nGive the graphical representation of the following equation
\na) on the number line and b) on the Cartesian plane.
\nl) x = 3
\nii) y + 3 = 0
\niii) y = 4
\niv) 2x – 9 = 0
\nv) 3x + 5 = 0
\nSolution:
\ni) x = 3 is a line parallel to Y-axis at a distance of 3 units on the right side of the origin.
\nii) y + 3 = 0 y = – 3 is a line parallel to X-axis, below the origin.
\niii) y = 4 is a line parallel to X-axis at a distance of 4 units above the origin.
\niv) 2x – 9 = 0
\n\u21d2 x = \\(\\frac{9}{2}\\) = 4.5 is a line parallel to Y-axis at a distance of 4.5 units, right side of the zero.
\nv) 3x + 5 = 0
\n\u21d2 3x = -5 x = \\(\\frac{-5}{3}\\) is a line parallel to Y – axis at a distance of \\(\\frac{5}{3}\\)units on the left side of the origin.<\/p>\n

x = 3<\/p>\n\n\n\n\n
x<\/td>\n3<\/td>\n3<\/td>\n3<\/td>\n<\/tr>\n
y<\/td>\n-1<\/td>\n2<\/td>\n4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

y + 3 = 0<\/p>\n\n\n\n\n
X<\/td>\n-4<\/td>\n6<\/td>\n8<\/td>\n<\/tr>\n
y<\/td>\n-3<\/td>\n-3<\/td>\n-3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

y = 4<\/p>\n\n\n\n\n
x<\/td>\n-2<\/td>\n3<\/td>\n5<\/td>\n8<\/td>\n<\/tr>\n
y<\/td>\n4<\/td>\n4<\/td>\n4<\/td>\n4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

2x – 9 = 0<\/p>\n\n\n\n\n
X<\/td>\n4.5<\/td>\n4.5<\/td>\n4.5<\/td>\n<\/tr>\n
y<\/td>\n-2<\/td>\n4<\/td>\n6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

3x + 5 = 0<\/p>\n\n\n\n\n
x<\/td>\n\\(\\frac{-5}{3}\\)<\/td>\n\\(\\frac{-5}{3}\\)<\/td>\n\\(\\frac{-5}{3}\\)<\/td>\n<\/tr>\n
y<\/td>\n-1<\/td>\n2<\/td>\n4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"AP \"AP<\/p>\n

\"AP<\/p>\n

Question 2.
\nGive the graphical representation of 2x – 11 = 0 as an equation in i) one variable ii) two variables
\nSolution:
\n2x – 11 = 0<\/p>\n\n\n\n\n
x<\/td>\n5.5<\/td>\n5.5<\/td>\n5.5<\/td>\n<\/tr>\n
y<\/td>\n-3<\/td>\n1<\/td>\n5<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"AP \"AP<\/p>\n

Question 3.
\nSolve the equation 3x + 2 = 8x – 8 and represent the solution on
\ni) the number line ii) the Cartesian plane.
\nSolution:
\nGiven that 3x + 2 = 8x – 8
\n3x – 8x = – 8 – 2
\n– 5x = -10
\nx = \\(\\frac{-10}{-5}\\) = 2<\/p>\n\n\n\n\n
X<\/td>\n2<\/td>\n2<\/td>\n2<\/td>\n<\/tr>\n
y<\/td>\n5<\/td>\n6<\/td>\n4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"AP
\n\"AP<\/p>\n

\"AP<\/p>\n

Question 4.
\nWrite the equation of the line parallel to X-axis and passing through the point i) (0, – 3) ii) (0,4) iii) (2, – 5) iv) (3,4)
\nSolution:
\ni) The given point is (0, – 3)
\nEquation of a line parallel to X-axis is y = k
\n\u2234 Required equation is y = – 3 or y + 3 = 0<\/p>\n

ii) The given point is (0, 4)
\nEquation of a line parallel to X-axis is y = k
\n\u2234 Required equation isy = 4ory-4 = 0<\/p>\n

iii) The given point is (2, – 5)
\nEquation of a line parallel to X-axis is y = k
\n\u2234 Required equation isy = -5 or y + 5 = 0<\/p>\n

iv) The given point is (3, 4)
\nEquation of a line parallel to X-axis is y = k
\n\u2234 Required equation isy = 4 or y – 4 = 0<\/p>\n

Question 5.
\nWrite the equation of the line parallel to Y-axis passing through the point
\ni) (- 4, 0)
\nii) (2,0)
\niii) (3, 5)
\n(iv) (- 4, – 3)
\nSolution:
\nEquation of a line parallel to Y-axis is x = k
\n\u2234 The required equations are
\ni) Through the point (- 4, 0) \u21d2 the equation is x = – 4 or x + 4 = 0
\nii) Through the point (2, 0) \u21d2 the equation isx = 2orx-2 = 0
\niii) Through the point (3, 5) \u21d2 the equation isx = 3orx-3 = 0
\niv) Through the point (- 4,-3) \u21d2 the equation is x = – 4 or x + 4 = 0<\/p>\n

\"AP<\/p>\n

Question 6.
\nWrite the equation of three lines that are
\n1) Parallel to the X-axis
\nSolution:
\ny = 3
\ny = -4
\ny = 6<\/p>\n

ii) Parallel to the Y-axis
\nSolution:
\nx = – 2
\nx = 3
\nx = 4<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus\u00a0AP Board 9th Class Maths Solutions Chapter 6 Linear Equation in Two Variables Ex 6.4 Textbook Questions and Answers. AP State Syllabus 9th Class Maths Solutions 6th Lesson Linear Equation in Two Variables Exercise 6.4 Question 1. Give the graphical representation of the following equation a) on the number line and b) on …<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/4436"}],"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=4436"}],"version-history":[{"count":0,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/4436\/revisions"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=4436"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=4436"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=4436"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}