If ABCD is a trapezium, AC and BD are the diagonals intersecting each other at point O. Then AC : BD is

In an isosceles triangle ABC, AB = AC and ∠A = 80°. The bisector of ∠B and ∠C meet at D. The ∠BDC is equal to

The base and hypotenuse of a right angled triangle is 12 cm and 5 cm respectively. Find the circum-radius (in cm) of the triangle.

In ΔABC, the medians AD and BE meet at G. The ratio of the areas of ΔBDG and the quadrilateral GDCE is

The lengths of the two sides forming the right angle of a right-angled triangle are 21 cm and 20 cm. What is the radius of the circle circumscribing the triangle?

The lengths of the two diagonals of a rhombus are 7 cm and 24 cm. Find the length of its perimeter (in cm).

The volume of a right circular cone, with a base radius the same as its altitude, and the volume of a hemisphere are equal. The ratio of the radii of the cone to the hemisphere is

PQR is a right angled triangle in which ∠R = 90°. If RS ⊥ PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?

The lengths of the two diagonals of a rhombus are 6 cm and 8 cm. Find the length of its perimeter (in cm).

What is the reflection of the point (-1 , 3) in the line x = -4?

A cylindrical vessel with radius 6 cm and height 5 cm is to be made by melting a number of spherical metal balls of diameter 2 cm. The minimum number of balls needed is:

The volume of a right circular cone is equal to that of a sphere, whose radius is half the radius of the base of the cone. What is the ratio of the radius of the base to the height of the cone ?

Find the volume (in cm3) of a cuboid of length, breadth and height of 10.5 cm, 8 cm and 9 cm respectively.

The point A of a triangle ABC moves parallel to the straight line BC. Which one amongthe following also moves along a straightline parallel to BC?

(a) The circumcentre (b) the centroid (c) the incentre (d) the orthocentre.

What is the sum of the measures of all the interior angles of a regular polygon of 6 sides?

Two circles of diameters 2 cm and 5.6 cm are such that the distance between their centers is 8.2 cm. What is the length of a common tangent to the circles that do not intersect the line joining the centers?

___ is the point at which the perpendicular bisectors of the sides meet and the center of the circle that circumscribes the triangle is ____.

Possible measures of three angles of a triangle are

The weight of a container completely filled with water is 2.25 kg. The container weighs 0.77 kg when its 0.2 part is filled with water. The weight (in kg) of a container when 0.4 part of it is filled with water, is

In a triangle ABC, right angled at B, BC = 15 cm and AB = 8 cm. A circle is inscribed in triangle ABC. Then the radius of the circle is :

The length of the diagonal and the breadth of a rectangle are 29 cm and 20 cm respectively. Find its perimeter (in cm).

Find the total surface area (in cm2) of a cube of side 3.5 cm.

Find the total surface area (in cm2) of a right circular cone of diameter 28 cm and slant height 12 cm.

What happens to the volume (V) of the cuboid. if its length is doubled. height is doubled and breadth is kept the same?

The radii of the two circular faces of the frustum of a cone of height 21 cm are 5 cm and 3 cm. What is its volume in cub.cm

ΔABC is right angled at B. If m∠A = 60 deg, then find the value of (secC + 2)

The perimeter and the length of one of the diagonals of a rhombus is 26 cm and 5 cm respectively. Find the length of its other diagonal (in cm).

The number of diagonals in a pentadecagon is

A triangle is circumscribed on the circle of centre O in such a way that sides AB = 12 cm, BQ = 7 cm and CQ = 5 cm. Calculate the lengtth (in cm) of side AC.

The volume of a hemisphere is 5749.33 cm³. Find its diameter (in cm).

The volume of a right circular cone. whose radius of the base is one-third of its altitude. and the volume of a hemisphere are equal. The ratio of the radii of the cone and the hemisphere is:

Find the curved surface area (in cm2) of a hemisphere of diameter 7 cm.

In ΔPQR measure of angle Q is 90 deg. If tanP = 24/7, and PQ = 14cm, then what is the length (in cm) of side QR?

If the lengths of the two parallel sides of a trapezium are 7 cm and 9 cm and its area is 80 cmFind the distance between its parallel sides (in cm).

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:2 and area of ΔABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

Calculate the length (in cm) of PQ, if the radius of the circle is 7 cm and the line through the centre O meets the tangent at point Q such that OP = 25 cm.

 The line bisecting all the three angles of a triangle meets at a common point. This point is known as ______________.

Find the curved surface area (in cm2) of a right circular cylinder of diameter 7 cm and height 6 cm.

A sphere is split in the ratio 1:The larger part is molded into a cone having a height equal to the radius of its base, while the smaller part is molded into a cylinder having a height equal to the radius of its base. What would be the ratio of the radius of the base of the cone to the height of the cylinder?

In an isosceles trapezium ______.

In a triangle, one of the angles is three times the smallest and another is two times the smallest angle. Calculate the smallest angle.

A wheel has diameter 84 cm. The number of complete revolution it will take to cover 792 m is

What is the slope of the line parallel to the line passing through the points (5, -1) and (4, -4)?

In the two triangles ABC and DEF the sides AB = DE and BC = EF. Which of the following option is correct which results in the ∆ABC ≅∆DEF?

What is the slope of the line perpendicular to the line passing through the points (­6,3) and (2,7)?

In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 5 cm and DE = 6 cm, find the length of BD.

In a right angled triangle, the hypotenuse is 4 cm longer than the perpendicular which is 4 cm longer than the base. Calculate the length of hypotenuse.

The radius of the two concentric circles is 5 cm and 13 cm. The tangent to the smaller circle is the chord to the greater circle. What is the length (in cm) of that chord?

A shuttle cock used for playing badminton has the shape of a frustum of a cone mounted on a hemisphere. The external diameters of the frustum are 5cm and 2cm, the height of the entire shuttle cock is 7cm. Find the external surface area.