Coordinate Geometry Class 10 Extra Questions
Coordinate Geometry Class 10
CLASS – X CH- 7 COORDINATE GEOMETRY
MULTIPLE CHOICE QUESTIONS
1. The coordinates of the vertex A of a rectangle ABCD whose 3 vertices are given as B(0,0) , C(3,0) and D(0,4) are
a) (4,0) b) (0,3) c) (3,4) d) (4,3)
2. The coordinates of the point where line x/a +y/b =7 intersects y axis are
a) (a, 0) b) (0,b) c) (0, 7b) d) (2a,0)
3. P is a point on x-axis at a distance of 3 units from y-axis to its left. The coordinates of P are
a) (3, 0) b) (0,3) c) (-3,0) d) (0,-3)
4. The distance of point P (3,-2) from y-axis is
a) 3 units b) 2units c) -2 units d) 1 unit
5. The perpendicular bisector of the line segment joining the points A (1,5) and B (4,6) cuts the y-axis at :
a) (0, 13) b) (0,-13) c) (0, 12) d) (13,0)
6. The distance between the points ( a cos θ + b sin θ, 0) and (0, a sin θ – b cos θ ) is
a) a2 + b2 b) a + b c) a2 – b2 d)
7. The co-ordinates of the point which is reflection of point (-3,5) in x-axis are
a) (3,5) b) (3,-5) c) (-3,-5) d) (-3,5)
8. The distance of the point ( -6,8) from origin is
a) 6 b) – 6 c) 8 d) 10
9. The perimeter of a triangle with vertices (0,4), (0,0) and (3,0) is
a) 7 b) 5 c) 10 d) 12
10. If A( 5,p), B( 1,5 ), C(2,1) and D(6,2) taken in order are the vertices of a square, then p =
a) 7 b) 3 c) 6 d) 8
SUBJECTIVE TYPE QUESTIONS (Coordinate Geometry Class 10)
11. Find the ratio in which the point (2, y) divides the line segment joining the points A (-2,2) and B (3, 7). Also find the value of y.
12. Find the coordinates of the point of trisection of the line segment joining the points A (2,-2) and B (-7, 4).
13. The end points of a diameter of a circle are (2, 4) and (-3,-1). Find the radius of the circle.
14. Point P(x,y) is equidistant from points A(5,1) and B(1,5). Prove that x=y.
15. A line is drawn through a point P (3,2) parallel to x-axis. What is the distance of the line from x-axis?
16. Find the ratio in which y axis divides the line segment joining the points (-2,-3) and (3,7). Also find the coordinates of the point of division.
17.Three consecutive vertices of a parallelogram are (-2,-1), (1,0) and (4,3). Find the coordinates of the fourth vertex.
18. Find the ratio in which the line 2x + y = 4 divides the join of A (2, -2) and B (3, 7). Also, find the coordinates of the point of intersection.
19. If A( -2, 1), B (a,0), C (4,b) and D (1,2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence, find the lengths of its sides.
20. If P(2,-1) , Q(3,4) ,R(-2,3) and S(-3,-2) be four points in a plane. Show that PQRS is a rhombus but not square. Find the area of the rhombus.
21. Points A (-1, y) and B (5, 7) lie on a circle O (2,-3y). Find the values of y. Hence, find radius of the circle.
22. A circle passing through the points (0,0), (-2,1) and (-3,2). Find the coordinates of the centre of circle and also find its radius.
23. If the mid point of the line joining (3,4) and (k,7) is (x, y) and 2x +2y +1 = 0 find the value of k.
24. If A (5, -1), B (-3,-2) and C (-1, 8) are the vertices of triangle ABC, find the length of median through A.
25. Assertion (A): The point (-1,6) divides the line segment joining the points (-3, 10) and (6, -8) in the ratio 2 : 7 internally. Reason: Mid point of line segment PQ whose coordinates are P ( x1, y1 ) and Q (x2, y2) is given by R
26. Assertion (A): The value of y is 6, for which the distance between the points P(2, –3) and Q(10, y) is 10.
Reason (R): Distance between two given points A (x1, y1) and B (x2, y2) is given by
CASE STUDY
27. In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD,100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Preet runs 1/5 th distance AD on the eighth line and posts a red flag.
(i) Find the position of green flag.
(ii)Find the position of red flag
(iii)What is the distance between both the flags?
(iv)If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
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Coordinate Geometry Class 10
Coordinate Geometry Class 10
Coordinate Geometry Class 10
Coordinate Geometry Class 10
Coordinate Geometry Class 10
