English Medium कक्षा १० - CBSE Question Bank Solutions

Show that the following points are the vertices of a square:

A (6,2), B(2,1), C(1,5) and D(5,6)

Show that the following points are the vertices of a square:

A (0,-2), B(3,1), C(0,4) and D(-3,1)

Show that the points A(3,0), B(4,5), C(-1,4) and D(-2,-1) are the vertices of a rhombus. Find its area.

Show that the points A(6,1), B(8,2), C(9,4) and D(7,3) are the vertices of a rhombus. Find its area.

Show that the points A(2,1), B(5,2), C(6,4) and D(3,3) are the angular points of a parallelogram. Is this figure a rectangle?

Show hat A(1,2), B(4,3),C(6,6) and D(3,5) are the vertices of a parallelogram. Show that ABCD is not rectangle.

Show that the following points are the vertices of a rectangle.

A (2, -2), B(14,10), C(11,13) and D(-1,1)

Show that the following points are the vertices of a rectangle

A (0,-4), B(6,2), C(3,5) and D(-3,-1)

Find the co-ordinates of the point which divides the join of A(-5, 11) and B(4,-7) in the ratio 7 : 2

Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in such a way that `(PA)/( PQ)=2/5` . If that point A also lies on the line 3x + k( y + 1 ) = 0, find the value of k.

Points P, Q, R and S divide the line segment joining the points A(1,2) and B(6,7) in five equal parts. Find the coordinates of the points P,Q and R

Points P, Q, and R in that order are dividing line segment joining A (1,6) and B(5, -2) in four equal parts. Find the coordinates of P, Q and R.

The line segment joining the points A(3,−4) and B(1,2) is trisected at the points P(p,−2) and Q `(5/3,q)`. Find the values of p and q.

Find the coordinates of the midpoints of the line segment joining

A(3,0) and B(-5, 4)

Find the coordinates of the midpoints of the line segment joining 

P(-11,-8) and Q(8,-2)

If (2, p) is the midpoint of the line segment joining the points A(6, -5) and B(-2,11) find the value of p.

The midpoint of the line segment joining A (2a, 4) and B (-2, 3b) is C (1, 2a+1). Find the values of a and b.

The line segment joining A( 2,9) and B(6,3)  is a diameter of a circle with center C. Find the coordinates of C

In what ratio does the point P(2,5) divide the join of A (8,2) and B(-6, 9)?

`"Find the ratio in which the poin "p (3/4 , 5/12) " divides the line segment joining the points "A (1/2,3/2) and B (2,-5).`