Class 10 Coordinate Geometry Sample Paper Questions
Coordinate Geometry WorkSheet
Download CBSE Worksheet for Coordinate Geometry Class X
1.If A (4, 2), B (7, 6) and C (1, 4) are the vertices of a ABC ∆ and AD is in median, prove that the median AD divides AABC into two triangles of equal areas.
2.If the points (x,y) is equidistant from the points (a+b,b-a) and (a-b,a+b ) prove that bx= ay
3.Find the vertices of the ∆ the mid points of whose sides are (3,1),(5,6) and (-3,2)
4.The line joining the points (2, -1 ) and (5, - 6 ) is bisected at P. if P lies on the line 2x+4y+k=0 Find the value of K.
5.If the point A (2, - 4) is equidistant from P (3, 8 ) and Q (- 10, y), find the values of y. Also find distance PQ.
6.Find the area of the quadrilateral whose vertices taken in order are (–4, –2), (–3, –5), (3, –2) and (2, 3).
7.Find the centre of a circle passing through the poi nts (6,-6), (3,-7) and (3,3)
8.. 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
9.Find the coordinates of the points which divides the lin e segment joining A(–2, 2) and B(2, 8) into four equal parts.
10.Find the point on the x–axis which is equidistant f rom (2, –5) and (–2, 9).
11.If A and B are (–2, –2) and (2, –4) respectively, f ind the coordinates of P such that AP = 3/7 AB and P lies on the line segment AB.
11.For what value of P are the points (2,1) (p,-1) and (-13) collinear?
12.Find the third vertex of a ∆ if two of its vertices are at (1,2) and (3,5) and t he centroid is at the origin.
13.If the point P ( x, y) is equidistant from the points and A(5,1 ) b(1, 5) , prove that x= y
14.The area of a traingle is 5.Two of its vertices are (2,1) and (3,-2).The third vertex lies on y=x+3.Find the Third VertexCoordinate Geometry WorkSheet
Download CBSE Worksheet for Coordinate Geometry Class X
1.If A (4, 2), B (7, 6) and C (1, 4) are the vertices of a ABC ∆ and AD is in median, prove that the median AD divides AABC into two triangles of equal areas.
2.If the points (x,y) is equidistant from the points (a+b,b-a) and (a-b,a+b ) prove that bx= ay
3.Find the vertices of the ∆ the mid points of whose sides are (3,1),(5,6) and (-3,2)
4.The line joining the points (2, -1 ) and (5, - 6 ) is bisected at P. if P lies on the line 2x+4y+k=0 Find the value of K.
5.If the point A (2, - 4) is equidistant from P (3, 8 ) and Q (- 10, y), find the values of y. Also find distance PQ.
6.Find the area of the quadrilateral whose vertices taken in order are (–4, –2), (–3, –5), (3, –2) and (2, 3).
7.Find the centre of a circle passing through the poi nts (6,-6), (3,-7) and (3,3)
8.. 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
9.Find the coordinates of the points which divides the lin e segment joining A(–2, 2) and B(2, 8) into four equal parts.
10.Find the point on the x–axis which is equidistant f rom (2, –5) and (–2, 9).
11.If A and B are (–2, –2) and (2, –4) respectively, f ind the coordinates of P such that AP = 3/7 AB and P lies on the line segment AB.
11.For what value of P are the points (2,1) (p,-1) and (-13) collinear?
12.Find the third vertex of a ∆ if two of its vertices are at (1,2) and (3,5) and t he centroid is at the origin.
13.If the point P ( x, y) is equidistant from the points and A(5,1 ) b(1, 5) , prove that x= y
15. In a seating arrangement of desks in a classroom three students are seated at A(3,1), B(6,4) and C(8,6) respetively.Are they seated in a line
16.If the points (x,y) ,( - 5, - 2) and (3, - 5) a re collinear, then prove that 3x+8y+31 = 0
17.. Find the ratio in which the Y - axis divides the line segment joining the points (5, - 6) and ( - 1, - 4). Also find the coordinates of the point of division.
18.Find x if the distance between the points ( x , 2) and (3, 4) be 8
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