Coordinate Geometry

The distance of the point P(-6,8) from the origin is

• 8 units

•  $2\sqrt{7\ units}$  

• 6units

• 10 units

The point on x-axis which is equidistant from points A(-1,0) and B (5,0) is

• (0,2)

• (2,0)

• (3,0)

• (0,3)

The Coordinates of the point P dividing the line segment joining the points A(1,3) and B(4,6) in the ratio 2:1 is

• (2,4)

• (3,5)

• (4,2)

• (5,3)

If P(-1,1) is the midpoint of the line segment joining A(-3,b) and B( 1 , b+4) , then b = ?

• 1

• -1

• 2

• 0

If the distance between the points A(4,p) and B(1,0) is 5 then

• p=4 only

• p= -4 only

• p= $\pm4$

• p=0

If the point C(k, 4) divides the join of the points A(2,6) and B(5,1) in the ratio 2:3 , then the value of k is

• 16

• $\frac{28}{5}$

• $\frac{16}{5}$

• $\frac{8}{5}$

ABCD is a rectangle whose three vertices are B(4,0) , C (4,3) and D(0,3) .The length of one of its diagonals is

• 5 units

• 4 units

• 3 units

• 25 units

The point P which divides the line segment joining the points A(2,-5) and b(5,2) in the ratio 2:3 lies in the quadrant

• I

• II

• III

• IV