English Medium कक्षा ९ - CBSE Question Bank Solutions

ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q such that CQ: QP = 3.1. If ar (ΔPBQ) = 10cm², find the area of parallelogram ABCD.

P is any point on base BC of ΔABC and D is the mid-point of BC. DE is drawn parallel toPA to meet AC at E. If ar (ΔABC) = 12 cm², then find area of ΔEPC. 

Two parallelograms are on the same base and between the same parallels. The ratio of their areas is

A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram is

Let ABC be a triangle of area 24 sq. units and PQR be the triangle formed by the mid-points of the sides of Δ ABC. Then the area of ΔPQR is

The median of a triangle divides it into two ______.

In a ΔABC, D, E, F are the mid-points of sides BC, CA and AB respectively. If ar (ΔABC) = 16cm², then ar (trapezium FBCE) =

ABCD is a parallelogram. P is any point on CD. If ar (ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cm², then ar (ΔAPB) =

Diagonals necessarily bisect opposite angles in a

The two diagonals are equal in a

The figure formed by joining the mid-points of the adjacent sides of a square is a

If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is

If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10x, what is the sum of the measures of the smallest angle and largest angle?

If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to

The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 12 cm is

In a rhombus ABCD, if ∠ACB = 40°, then ∠ADB =

A, B, C, D are mid-points of sides of parallelogram PQRS. If ar (PQRS) = 36 cm², then ar (ABCD) =

In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°. The angles of the triangle formed by joining the mid-points of the sides of this triangle are

The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is ______.

If AD is median of ΔABC and P is a point on AC such that
ar (ΔADP) : ar (ΔABD) = 2 : 3, then ar (Δ PDC) : ar (Δ ABC)