English Medium कक्षा ९ - CBSE Question Bank Solutions

AB and CD are the smallest and largest sides of a quadrilateral ABCD. Out of ∠B and ∠D decide which is greater.

Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than `2/3` of a right angle.

Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?

All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?

Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.

Can all the angles of a quadrilateral be acute angles? Give reason for your answer.

Can all the angles of a quadrilateral be right angles? Give reason for your answer.

One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.

The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60º. Find the angles of the parallelogram.

In the following figure, P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. Prove that AD = 2CD.

In the following figure, the area of parallelogram ABCD is ______.

AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is ______.

In the following figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to ______.

If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is ______.

In the following figure, if ∠ABC = 20º, then ∠AOC is equal to ______.

In the following figure, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to ______.

In the following figure, if ∠OAB = 40º, then ∠ACB is equal to ______.

In the following figure, if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to ______.

In the following figure, BC is a diameter of the circle and ∠BAO = 60º. Then ∠ADC is equal to ______.

In the following figure, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to ______.