This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 7 Coordinate Geometry – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 7 Coordinate Geometry Quiz 9 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The midpoint of the lines segment AB is P(0, 4). If the coordinates of B are (-2, 3), then the coordinates of A are A) (2, 5). B) (-2, -5). C) (2, 9). D) (-2, 11). Show Answer Correct Answer: A) (2, 5). 2. Find the ratio in which the line joining the points (6, 4) and (1, -7) is divided by x-axis. A) 1:3. B) 2:7. C) 4:7. D) 6:7. Show Answer Correct Answer: C) 4:7. 3. Find the gradient of all lines parallel to $y=\frac{3}{4}x+\frac{1}{4}$ A) $m=\frac{3}{4}$. B) $m=-\frac{4}{3}$. C) $m=-4$. D) $m=\frac{1}{4}$. Show Answer Correct Answer: A) $m=\frac{3}{4}$. 4. What is the y-intercept of the straight line with equation:4x-5y-15 = 0? A) -3. B) 3. C) $\frac{4}{5}$. D) $-\frac{4}{5}$. Show Answer Correct Answer: A) -3. 5. The coordinates of the points P and Q are respectively (4, -3) and (-1, 7). Find the abscissa of a point R on the line segment PQ such that PR/PQ =3/5. A) 2. B) 3. C) 5. D) 1. Show Answer Correct Answer: D) 1. 6. A is the point (8, 5) and B is the point (-4, 1). Calculate the length of AB. A) 11.56. B) 12.56. C) 12.6. D) None of the above. Show Answer Correct Answer: C) 12.6. 7. Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5) A) (0, -1). B) (6, 1). C) (1, 6). D) (0, 1). Show Answer Correct Answer: B) (6, 1). 8. The equation of a straight line is 2y = 3x+4.Find the co-ordinates of the point where the line crosses the y-axis ..... A) (2, 0). B) (0, 2). C) (0, -2). D) None of the above. Show Answer Correct Answer: B) (0, 2). 9. A straight line joins the points A (-2, -3) and C (1, 9).Find the equation of the line AC in the form y = mx + c. A) $y=4x+5$. B) $y=4x$. C) $y=4x-5$. D) None of the above. Show Answer Correct Answer: A) $y=4x+5$. 10. If the gradient of the line passing through the points (-1, 4) and (3, c) is-1.5, find the value of c. A) 0. B) -2. C) 2.5. D) 3. Show Answer Correct Answer: B) -2. 11. In what ratio does the y-axis divide the line segment joining the point P (4, 5) and Q (3, -7)? A) 4:9. B) 3:4. C) 4:3. D) None. Show Answer Correct Answer: C) 4:3. 12. Mirror image of the point (9, -8) in y-axis is A) (-9, -8). B) (9, 8). C) (-9, 8). D) (-8, 9). Show Answer Correct Answer: A) (-9, -8). 13. Find the coordinates of the point equidistant from the points A(1, 2), B (3, -4) and C(5, -6). A) ( 2, 3 ). B) (-1, -2 ). C) ( 0, 3 ). D) ( 1, 3 ). Show Answer Correct Answer: B) (-1, -2 ). 14. A straight line joins the points A (-2, -3) and C (1, 9).Calculate the length of AC. A) 12.4. B) 13. C) 14.2. D) None of the above. Show Answer Correct Answer: A) 12.4. 15. If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order then values of x, y are A) 6, 3. B) 3, 2. C) -6, -3. D) (1, 1). Show Answer Correct Answer: A) 6, 3. 16. Find the distance between C (0, -2) and D (0, 5) A) 7. B) $\sqrt{48}$. C) $\sqrt{51}$. D) 5. Show Answer Correct Answer: A) 7. 17. Which line is perpendicular to y = 2x-7? A) Y =-2x + 8. B) Y = $^{1} $/$ _ {2} $ x-7. C) Y = $^{-1} $/$ _ {2} $ x + 2. D) Y = 2x-3. Show Answer Correct Answer: C) Y = $^{-1} $/$ _ {2} $ x + 2. 18. Name the type of quadrilateral formed by the points (-1, -2), (1, 0), (-1, 2) and (-3, 0) A) General Quadrilateral. B) Square. C) Rectangle. D) Rhombus. Show Answer Correct Answer: B) Square. 19. The distance between the point P(1, 4) and Q(4, 0) is A) 4. B) 5. C) 6. D) 7. Show Answer Correct Answer: B) 5. 20. If the distance between the points A(4, p) and B(1, 0) is 5 then A) P=4 only. B) P=-4 only. C) P= $\pm4$. D) P=0. Show Answer Correct Answer: C) P= $\pm4$. 21. What is the midpoint between (-4, 4) and (-2, 2)? A) (3, 2). B) (-3, 3). C) (4, 5). D) (6, 7). Show Answer Correct Answer: B) (-3, 3). 22. The point (-5, 6) is on a circle with center (-1, 3) write the equation of the circle A) (x + 1) $^{2} $ + (y-3) $^{2} $ = 4000. B) (x + 5) $^{2} $ + (y-0) $^{2} $ = 25. C) (x + 1) $^{2} $ + (y-3) $^{2} $ = 25. D) (x-1) $^{2} $ + (y + 3) $^{2} $ = 25. Show Answer Correct Answer: C) (x + 1) $^{2} $ + (y-3) $^{2} $ = 25. 23. If you are proving that two diagonals are bisected, how many times will you have to use the midpoint formula? A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: B) 2. 24. How do we prove a triangle is a right triangle? A) Prove all sides are different lenghts. B) Show that the three sides satisfy the pythagorean theorem. C) Show that opposite angles are congruent. D) Show that two sides are congruent. Show Answer Correct Answer: B) Show that the three sides satisfy the pythagorean theorem. 25. When proving that a quadrilateral is a trapezium, it is necessary to show ..... A) The slopes of two sides. B) Two parallel and two non-parallel sides. C) The lengths of all sides. D) All sides are of equal lengths. 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