Coordinate Geometry MCQs for Competitive Examination Solve the following problems. Q. 21 What would be the equation of the line, which intercepts x-axis at -5 and is perpendicular to the line y = 2x + 3? (A) x – 2y = -5(B) x + 2y = 5(C) x + 2y = -5(D) x – 2y = 5 Show Answer/Hide Answer Answer: (C) x + 2y = -5Explanation: Q. 22At what point does the line 3x + 2y = -12 intercept the Y-axis? (A) (0,6)(B) (0,-6)(C) (-4,0)(D) (4,0) Show Answer/Hide Answer Answer: (B) (0,-6)Explanation: Q. 23For triangle ABC, what would be the equation of median AD if co-ordinates of A, B and C are (-5,4), (-4,0) and (-2,2) respectively? (A) 3x – 2y = -11(B) 3x + 2y = 7(C) 3x + 2y = -7(D) 3x – 2y = 11 Show Answer/Hide Answer Answer: (C) 3x + 2y = -7Explanation: Q. 24The distance between the points (4,-8) and (k,0) is 10. Find k? (A) k = 6 or -2(B) k = 10 or -2(C) k = 10 or -4(D) k = 6 or -4 Show Answer/Hide Answer Answer: (B) k = 10 or -2Explanation: Q. 25A line cuts the x-axis at the point (-3,0) and the y-axis at the point (0,6). What is the equation of the line? (A) x = 2y + 6(B) y = 2x – 6(C) x = 2y – 6(D) y = 2x + 6 Show Answer/Hide Answer Answer: (D) y = 2x + 6Explanation: Q. 26The point Q(a, b) is first reflected in y-axis to Q1 and Q1 is reflected in the x-axis to (-6, 2). The coordinates of point Q are (A) (-6, -2)(B) (2, -6)(C) (6, -2)(D) (-2, 6) Show Answer/Hide Answer Answer: (C) (6, -2)Explanation: Q. 27The slopes of two lines are 1 and √3. What is the angle between these two lines? (A) 15°(B) 30°(C) 45°(D) 60° Show Answer/Hide Answer Answer: (A) 15°Explanation: Q. 28Reflection of the point (2, 5) in the x-axis is (A) (2, -5)(B) (-2, 5)(C) (2, 5)(D) (-2, -5) Show Answer/Hide Answer Answer: (A) (2, -5)Explanation: Q. 29What is the equation of the line passing through the point (0,4) and making an angle of 45° with the positive x axis? (A) x + y = 4(B) x - y = 4(C) – x + y = 4(D) -x - y = 4 Show Answer/Hide Answer Answer: (C) – x + y = 4Explanation: Q. 30What is the slope of the line parallel to the line passing through the points (4, 6) and (2, 3)? (A) 1/2(B) 2(C) 3/2(D) -1/2 Show Answer/Hide Answer Answer: (C) 3/2Explanation: Q. 31What are the co-ordinates of the centroid of a triangle, whose vertices are A(-2, 5), B(3, -2) and C(5, 3)? (A) (-2,-2)(B) (-2, 2)(C) (2, 2)(D) (2, -2) Show Answer/Hide Answer Answer: (C) (2, 2)Explanation: Coordinate of the centroid = ((- 2 + 3 + 5)/2, (5 – 2 + 3)/2) Q. 32In what ratio is the segment joining (-1, -12) and (3, 4) divided by the x-axis? (A) 1 : 3(B) 3 : 2(C) 3 : 1(D) 2 : 3 Show Answer/Hide Answer Answer: (C) 3 : 1Explanation; Q. 33Point Q(-2, b) is the midpoint of segment EF. Co-ordinates of E are (-7, -6) and F are (a, 0). What is the value of a and b? (A) a = 3; b = -3(B) a = -3; b = -3(C) a = 3; b = 3(D) a = -3; b = 3 Show Answer/Hide Answer Answer: (A) a = 3; b = -3Explanation: Q. 34What is the slope of the line 4x – 8y = 3? (A) -1/2(B) 2(C) 1/2(D) -2 Show Answer/Hide Answer Answer: (C) 1/2Explanation: Q. 35Reflection of the point (2, -4) in the origin is (A) (-2, 4)(B) (-2, -4) (C) (2, -4)(D) (-2, 4) Show Answer/Hide Answer Answer: (D) (-2, 4)Explanation: Q. 36The line passing through the point (5, a) and point (4, 3) is perpendicular to the line x – 6y = 8. What is the value of ‘a’? (A) -3(B) -2(C) 4(D) 5 Show Answer/Hide Answer Answer: (A) – 3Explanation: Q. 37The point P(3, -2) divides the segment joining the points (x, 0) and (0, y) in the ratio 1 : 3. Find x and y? (A) x = 4; y = -8(B)x = -3; y = -8(C) x = 3; y = 8(D) x = -3; y = 8 Show Answer/Hide Answer Answer: (A) x = 4; y = -8Explanation: Q. 38Slope of the side DA of the rectangle ABCD is 5/3. What is the slope of the side AB? (A) 3/5(B) -5/3(C) 5/3(D) -3/5 Show Answer/Hide Answer Answer: (D) -3/5Explanation: Q. 39 What is the equation of the line which has 3/2 and (- 4/7) as x and y-intercept respectively? (A) 8x – 21y = -12(B) 8x + 21y = 14(C) 8x – 21y = 12(D) 8x + 21y = -14 Show Answer/Hide Answer Answer: (C) 8x – 21y = 12Explanation: Q. 40What is the equation of the line if its slope is 4/3 and it passes through the point (-7, 2)? (A) 4x – 3y = -22(B) 4x + 3y = -34(C) 4x + 3y = -22(D) 4x – 3y = -34 Show Answer/Hide Answer Answer: (D) 4x – 3y = -34Explanation: « 1 2 3 » Share on facebook Share on twitter Share on linkedin Share on pinterest Share on reddit Share on whatsapp Share on email Share on telegram Coordinate Geometry MCQs (page 1) Coordinate Geometry MCQs (page 2) Coordinate Geometry MCQs (page 3)