Class 9 Quiz Level 1 (Easy) – Coordinate Geometry Leave a Comment / By anushka kumari / October 17, 2024 Class 9 Quiz Level 1 (Easy) – Coordinate Geometry Total questions: 30 1. If P(−1,1) is the midpoint of the line segment joining A(−3, b) and B(1, b+4), then b is equal to: Topic: Midpoint FormulaDeselect Answer -1 -2 2 0 None 2. If point P(2,4) is equidistant from the points A(5,K) and B(K,7), then find the value of K. Topic: Equidistant PointsDeselect Answer K = 3 K = 4 K = 10 K = 8 None 3. √2 times the distance between (0, 5) and (–5, 0) is _______. Topic: Distance FormulaDeselect Answer 40 units 30 units 10 units 20 units None 4. Points A(3, 1), B(5, 1), C(a, b) and D(4, 3) are vertices of a parallelogram ABCD. then the values of a and b. Topic: Vertices of a ParallelogramDeselect Answer a = 6, b = 9 a = 6, b = 3 a = 8, b = 3 None of these None 5. Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear. Topic: Collinearity of PointsDeselect Answer Yes No Cannot be determined Incomplete information None 6. If (a, b) is the mid-point of the line segment joining the points A(10, –6) and B(k, 4) and a–2b=18, the value of k is Topic: Midpoint Formula and Linear EquationsDeselect Answer 30 22 4 40 None 7. The area of triangle ABC (in sq. units) is : Topic: Area of a Triangle Deselect Answer 3.5 sq units 6.5 sq units 8.5 sq units 7.5 sq units None 8. If the points A(4,3) and B(x,5) lie on a circle with centre O(2,3), find the value of x. Topic: Distance FormulaDeselect Answer 2 5 8 4 None 9. To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown  in Fig. Niharika runs $\displaystyle \dfrac{1}{4}$ A^th the  distance AD on the 2nd line and  posts a green flag. Preet runs $\displaystyle \dfrac{1}{5}$A^th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?  Topic: Distance Formula and Midpoint Theorem Deselect Answer 12.2 m from C 22.5 m from A 28.7 m from A 25.3 m from B None 10. For what values of k are the points (8,1),(3,−2k) and (k,−5) collinear ? Topic: Collinearity of PointsDeselect Answer k = 2, $\displaystyle \dfrac{{11}}{2}$ k = 2, $\displaystyle \dfrac{{15}}{2}$ k = 2, $\displaystyle \dfrac{{11}}{4}$ All of these None 11. Distance between (a, −b) and (a,b) is: Topic: Distance FormulaDeselect Answer 5b units 6b units 2b units 10b units None 12. Find the distance between the points (0 , 0) and (36 , 15) . Topic: Midpoint FormulaDeselect Answer d = 39 d = 47 d = 93 d = 85 None 13. If the points A(6,1),B(8,2),C(9,4) and D(p,3) are the vertices of a parallelogram, taken in order, find the value of p. Topic: Properties of ParallelogramDeselect Answer p = 6 p = 7 p = 9 p = 8 None 14. The distance of the point (−12,5) from the origin is Topic: Distance FormulaDeselect Answer 12 13 5 10 None 15. Find the coordinates of the points of trisection (i.e., points dividing in three equal parts) of the line segment joining the points A(2,−2) and B(−7,4). Topic: Section FormulaDeselect Answer (−6,0) and (−8,2). (−2,0) and (−4,1). (−1,0) and (−4,2). None of these None 16. The area of triangle formed with the origin and the points (4,0) and (0,6) is Topic: Area of a Triangle Using CoordinatesDeselect Answer 12 sq units 20 sq units 16 sq units 18 sq units None 17. The value(s) of x, if the distance between the points A(0, 0) and B(x, – 4) is 5 units. Topic: Distance FormulaDeselect Answer 4 and -7 3 and -8 3 and -3 5 and -3 None 18. Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0,−1),(2,1) and (0,3). Find the ratio of this area to the area of the given triangle. Topic: Area of a TriangleDeselect Answer 2 : 2 1 : 5 2 : 4 1 : 4 None 19. Find the ratio in which the y-axis divides the line segment joining the points (5,−6) and (−1,−4). Also find the point of intersection. Topic: Section FormulaDeselect Answer 5 : 8 point of intersection as $\displaystyle \left( {0,\dfrac{{-13}}{8}} \right)$ 6 : 1 point of intersection as $\displaystyle \left( {0,\dfrac{{-18}}{3}} \right)$ None of these 5 : 1 point of intersection as $\displaystyle \left( {0,\dfrac{{-13}}{3}} \right)$ None 20. If the point P (6, 2) divides the line segment joining A(6, 5) and B(4, y) in the ratio 3 : 1, then the value of y is Topic: Section FormulaDeselect Answer 1 2 4 3 None 21. Point A lies on the line segment PQ joining P(6,−6) and Q(−4,−1) in such a way that $\displaystyle \dfrac{{PA}}{{PQ}}$ =$\displaystyle \dfrac{2}{5}$ . If point P also lies on the line 3x+k(y+1)=0, then the value of k. Topic: Section Formula and Equation of LineDeselect Answer k = 20/3 k = 58/8 k = 18/5 None of these None 22. If the mid-points of the sides of a triangle are (1,5,−1),(0,4,−2) and (2,3,4). then its vertices. Topic: Vertices of Triangle from MidpointsDeselect Answer (1,2,3),(3,4,5),(−1,8,−7) (1,2,3),(3,4,5),(−1,6,−7) (4,2,3),(6,4,5),(−3,7,−7) All of these None 23. Find the area of the triangle formed by the points P(−1.5,3),Q(6,−2) and R(−3,4). Topic: Area of a Triangle Using VerticesDeselect Answer 10 5 0 12 None 24. The distance of a point P(x, y) from the origin. Topic: Distance FormulaDeselect Answer $\displaystyle \sqrt{{{{x}^{2}}+{{x}^{2}}}}$ $\displaystyle \sqrt{{{{x}^{2}}+{{y}^{2}}}}$ $\displaystyle \sqrt{{{{y}^{2}}+{{y}^{2}}}}$ None of these None 25. Find the coordinates of the point which divides the line segment joining the points (4,−3) and (8,5) in the ratio 3:1 internally. Topic: Section FormulaDeselect Answer (7,8) (4,3) (7,3) (8,8) None 26. The point P on x-axis equidistant from the points A(–1, 0) and B(5, 0) is Topic: Finding Equidistant PointsDeselect Answer (2,0) (0,2) (3,0) (3,2) None 27. The coordinates of a point A, where AB is diameter of a circle whose centre is (2,−3) and B is the point (1,4). Topic: Midpoint Formula and Circle PropertiesDeselect Answer (3, -10) (3, -60) (8, -10) None of these None 28. The distance of the point P(−6,8) from the origin is Topic: Distance FormulaDeselect Answer 8 units 2√7 units 10 units 6 units None 29. Find the area of a triangle formed by the points A(5,2),B(4,7) and C(7,−4) Topic: Area of a Triangle Using VerticesDeselect Answer 9 sq. units 2 sq. units 4 sq. units 8 sq. units None 30. The co-ordinates of the point which is reflection of point (–3, 5) in x-axis are Topic: Reflection of a PointDeselect Answer (−3,−5) (3,−5) (3,5) (−3,5) None 1 out of 30 Time's up
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