Coordinate Geometry MCQs for Competitive Examination Solve the following problems. Q. 1The area (in square units) of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x + 4y = 12 is (A) 24(B) 12(C) 6(D) 3 Show Answer/Hide Answer Answer: (C) 6Explanation: Q. 2The angle between the graph of the linear equation 239x − 239y + 5 = 0 and the x-axis is (A) 0°(B) 30°(C) 45°(D) 60° Show Answer/Hide Answer Answer: (C) 45°Explanation: Q. 3The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is (A) 5(B) 3(C) 4(D) 7 Show Answer/Hide Answer Answer: (A) 5Explanation: Q. 4Among the equations x + 2y + 9 = 0; 5x − 4 = 0; 2y − 13 = 0; 2x − 3y = 0, the equation of the straight line passing through the origin is (A) 2x-3y=0(B) x+2y+9=0(C) 5x-4=0(D) 2y-13=0 Show Answer/Hide Answer Answer: (A) 2x-3y=0Explanation: Q. 5The area of the triangle formed by the graphs of the equations x = 0, 2x + 3y = 6 and x + y = 3 is (A) 3 square unit(B) 4(1/2) square unit(C) 1(1/2) square unit(D) 1 square unit Show Answer/Hide Answer Answer: (C) 1(1/2) square unitExplanation: Q. 6The straight line y = 3x must pass through the point (A) (0,1)(B) (0,0)(C) (1,2)(D) (2,0) Show Answer/Hide Answer Answer: (B) (0,0)Explanation: Q. 7If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is (A) 6(B) 5(C) 4(D) 2 Show Answer/Hide Answer Answer: (C) 4Explanation: Q. 8The graph of linear equation y = x passes through the point (A) (0, 3/2)(B) (1,1)(C) (-1/2, 1/2)(D) (3/2, 3/2) Show Answer/Hide Answer Answer: (B) (1, 1)Explanation: Q. 9The graphs of x = a and y = b intersect at (A) (a, b)(B) (b, a)(C) (-a, b)(D) (a, -b) Show Answer/Hide Answer Answer: (A) (a, a)Explanation: Q. 10The graph of 2x + 1 = 0 and 3y − 9= 0 intersect at the point (A) (-1/2, -3)(B) (-1/2, 3)(C) (1/2, -3)(D) None of these Show Answer/Hide Answer Answer: (B) (-1/2, 3)Explanation: Q. 11An equation of the form ax + by + c = 0 where a ≠ 0, b ≠ 0, c = 0 represents a straight line which passes through (A) (0, 0)(B) (3, 2)(C) (2, 4)(D) None of these Show Answer/Hide Answer Answer: (A) (0, 0)Explanation: Q. 12If the graph of the equations 3x + 2y = 18 and 3y − 2x = 1 intersect at the point (p, q), then the value of p + q is (A) 7(B) 6(C) 5(D) 4 Show Answer/Hide Answer Answer: (A) 7Explanation; Q. 13Find co-ordinates of the mid point of the segment joining points C (3,-5) and D (-7,3). (A) (-2, -1)(B) (5, -4)(C) (-5, 4)(D) (2, 1) Show Answer/Hide Answer Answer: (A) (-2, -1)Explanation: Q. 14A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M? (A) (12/13, 18/13) (B) (6/7, 9/7)(C) (-6/7, 9/7)(D) (6/11, -9/11) Show Answer/Hide Answer Answer: (A) (12/13, 18/13)Explanation: Q. 15What is the equation of the line passing through the point (2,-3) and making an angle of -45°with the positive X-axis? (A) x – y = -5(B) x – y = -1(C) x + y = -5(D) x + y = -1 Show Answer/Hide Answer Answer: (D) x + y=-1 Explanation: Q. 16The point P(5,-2) divides the segment joining the points (x,0) and (0,y) in the ratio 2:5. What is the value of x and y? (A) x = -7; y = 7(B) x = 3; y = -3(C) x = 7; y = -7(D) x = -3; y = 3 Show Answer/Hide Answer Answer: (C) x = 7; y = -7Explanation: Q. 17What is the distance between the points (4,7) and (-1,-5)? (A) 10 units(B) 13 units(C) 5 units(D) 11 units Show Answer/Hide Answer Answer: (B) 13 unitsExplanation: Q. 18What will be the equation of the perpendicular bisector of segment joining the points (5,-3) and (0,2)? (A) x + y = 2(B) x – y = -3(C) x + y = -2(D) x – y = 3 Show Answer/Hide Answer Answer: (D) x – y = 3Explanation: Q. 19 For triangle ΔPQR, what is the equation of altitude PS if coordinates of P, Q, and R are (5,1), (0,4), and (2,3) respectively? (A) x+2y=33(B) 2x-y=9(C) 2x-y=-3(D) x+2y=-33 Show Answer/Hide Answer Answer: (B) 2x-y=9Explanation: Q. 20In what ratio is the segment joining the points (2,5) and (6,10) divided by the y axis? (A) 3 : 1(B) 1 : 3(C) 2 : 5(D) 5 : 2 Show Answer/Hide Answer Answer: (B) 1 : 3Explanation: 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)