This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 7 Coordinate Geometry – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 7 Coordinate Geometry Quiz 6 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A straight line joins the points A (-2, -3) and C (1, 9).Find the co-ordinates of the midpoint of AC. A) (-0.5, -3). B) (-0.5, 3). C) (0.5, 3). D) None of the above. Show Answer Correct Answer: B) (-0.5, 3). 2. If the length of the line segment with endpoints (1, -3) and (7, p) is 10. find the value of p. A) 15. B) 5. C) 8. D) 12. Show Answer Correct Answer: B) 5. 3. Which axis runs horizontally (side to side)? A) X. B) Y. C) All the above. D) None of the above. Show Answer Correct Answer: A) X. 4. If three points A, B, C are collinear then which of the following statement is correct? A) AC = AB+BC. B) Ac> ab+bc. C) And D) None. Show Answer Correct Answer: A) AC = AB+BC. 5. The radius of the circle whose Centre is (2, 4) and passes through (10, -2) is ..... units. A) 10. B) 5. C) $\sqrt{68}$. D) $\sqrt{70}$. Show Answer Correct Answer: A) 10. 6. M is the midpoint of [QR], Find the coordinates of R if Q (-5, 0) and M (0, -1) A) (5, 2). B) (4, 0). C) (5, -2). D) (0, -4). Show Answer Correct Answer: C) (5, -2). 7. (2, 3) and (6, 6) distance between points A) 5 Humans. B) 7 Humans. C) 3 humans. D) 4 humans. Show Answer Correct Answer: A) 5 Humans. 8. Determine the distance between the points (-3, 1) and (2, -5). A) The distance between the points (-3, 1) and (2, -5) is 7.81 units. B) The distance between the points (-3, 1) and (2, -5) is 5.62 units. C) The distance between the points (-3, 1) and (2, -5) is-3.24 units. D) The distance between the points (-3, 1) and (2, -5) is 10.5 units. Show Answer Correct Answer: A) The distance between the points (-3, 1) and (2, -5) is 7.81 units. 9. Show that the line 4y = 5x-10 is perpendicular to the line 5y+4x = 35. A) $-\frac{4}{5}\times\frac{5}{4}=-1$. B) $\frac{4}{5}\times\frac{5}{4}=1$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-\frac{4}{5}\times\frac{5}{4}=-1$. 10. Which of the following point lie on X-axis? A) (3, -4). B) (0, 4). C) (3, 0). D) (0, -3). Show Answer Correct Answer: C) (3, 0). 11. Find the gradient of the line that is perpendicular to the line 2y = 3+5x. A) 0.4. B) -0.4. C) $\frac{2}{5}$. D) None of the above. Show Answer Correct Answer: B) -0.4. 12. Find the midpoint of the segment with endpoints (4, 12) and (-6, 14) A) (-1, 13). B) (13, 1). C) (13, -1). D) (5, 13). Show Answer Correct Answer: A) (-1, 13). 13. Use midpoints to find the fourth vertex of the given parallelograms PQRS:P(-2, -3), Q(-1, 2), R(x, y), S(1, 0) A) R(2, 5). B) R(0, 1). C) R(-1/2, -3/2). D) R(-3/2, -1/2). Show Answer Correct Answer: A) R(2, 5). 14. What quadrilateral(s) have equal diagonals? A) Rectangle. B) Rectangle and square. C) Rhombus. D) Rhombus and square. Show Answer Correct Answer: B) Rectangle and square. 15. Find the equation of the perpendicular bisector of AB given A(3, 1) and B(-3, 6) A) Y = x-4. B) Y=2x+6. C) Y = x-6. D) Y=1. Show Answer Correct Answer: A) Y = x-4. 16. Calculate the gradient of the line passing through the points (0, -2) and (6, 4). A) 2. B) 4. C) 1. D) 3. Show Answer Correct Answer: C) 1. 17. What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, -4)? A) Y + 4 =-(1/2) (x-8). B) X + 4 = 2 (y-8). C) Y + 4 = 2 (x-8). D) Y + 8 =-(1/2) (x-4). Show Answer Correct Answer: A) Y + 4 =-(1/2) (x-8). 18. Name the quadrant in which the point (-2, 3) lies A) I QUADRANT. B) II QUADRANT. C) 3 square. D) IV QUADRANT. Show Answer Correct Answer: B) II QUADRANT. 19. Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint:(9, 8) Midpoint (0, 9) A) (-9, 10). B) (1.5, -1). C) (4.5, -0.5). D) (8.5, 4.5). Show Answer Correct Answer: A) (-9, 10). 20. Which of the following point l lies in the third quadrant? A) (3-4). B) ( 3, 4). C) (-3, 4). D) (-3, -4). Show Answer Correct Answer: D) (-3, -4). 21. We use the distance formula to do what? A) See if opposite sides are parallel. B) See if opposite sides are congruent. C) See if diagonals have the same slope. D) See if diagonals bisect each other. Show Answer Correct Answer: B) See if opposite sides are congruent. 22. P (1, 3), Q (-3, 2), R (3, 4) and S (4, 1) are the point near the original point at these four points. A) P. B) Q. C) R. D) S. Show Answer Correct Answer: A) P. 23. How many quadrants does the cartesian plane cut into A) 1. B) 2. C) 4. D) 3. Show Answer Correct Answer: C) 4. 24. Which option could be used to prove a quadrilateral is a square? A) All sides are congruent. B) Diagonals are congruent. C) All sides are congruent and diagonals are congruent. D) Opposite sides are parallel. Show Answer Correct Answer: C) All sides are congruent and diagonals are congruent. 25. If three points are collinear, then the area of the triangle formed by these points will be ..... A) Equal to zero. B) Non zero. C) All the above. D) None of the above. 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