## Important questions of Maths class 10 chapter 7

CLASS – X

CH- COORDINATE GEOMETRY

Session: 2022-23

MULTIPLE CHOICE QUESTIONS

1. The point on the x-axis which is equidistant from the points A(-2,3) and B(5,4) is

a) (0,2) b) (2,0) c) (3,0) d) (-2,0)

2. If A (5,-3), B(11,-5) and C(12,k) are three vertices of a right angled triangle at C, then the values of k are

a) -2,4 b) 2,-4 c) -2,-4 d) 2,4

3. 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)

4. 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)

5. The distance of point P(3,-2) from y-axis is

a) 3 units b) 2units d) -2 units d) 1 unit

6. The coordinates of two points are (6,0) and (0,-8). The coordinates of the midpoint are

a) (3,4) b) (3,-4) c) ( 0,0) d) (-4,3)

7.If the centroid of the triangle formed by the points A(7,p), B(q,-6) and C(9,10) is at the point (6,3), then

a) p=4,q=5 b) p=5,q=4 c) p= -5,q= -2 d) p= 5, q=2

8. Points (3,0),(0,4) and (-3,0) are

a) Vertices of an equilateral triangle b) Vertices of an isosceles triangle

c) Vertices of a right angled triangle d) Collinear

**SUBJECTIVE TYPE QUESTIONS **

1. 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.

2. 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.

3. 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.

4. Find a point on y-axis which is equidistant from the points (5,-2) and (-3,2)

5. If A(-5,1), B(-3,-2) and C(-1,8) are the vertices of triangle ABC, find the length of median through A and the coordinates of the centroid.

6.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.

7.Find the coordinates of the point of trisection of the line segment joining the points A(2,-2) and B(-7,4).

8. Find the ratio in which y-axis divides the line segment joining the points (5,-6) and (-1,-4)

9.Find the value of x for which the distance between the points P(2,-3) and Q(x,5) is 10 units.

10.Find the relation between x and y such that (x,y) is equidistant from the points (7,1) and (3,5).

11. A line is drawn through a point P(3,2) parallel to x-axis. What is the distance of the line from x-axis ?

12.What is the value of a if the points (3,5) and (7,1) are equidistant from the point (a,0) ?

13. AB is diameter of circle with centre at origin . What are the coordinates of B if coordinates of A are (3,-4) ?

14. Find the coordinates of the centroid of a triangle whose vertices are A (2âˆš5 ,âˆš2 ), B(5âˆš5 , âˆš8 ),C (âˆš125 ,âˆ’ 2âˆš2 )

15. Find the value of k for which points (8,1) ,(k , -4) , (2, -5) are collinear.

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Important questions of Maths class 10 chapter 7