In a triangle the length of the side opposite the angle which measures 30 degree is 9√3 cm, what is the length of the side opposite to the angle which measures 60 degree?

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

In a triangle, the length of the side opposite the angle which measures 45° is 16 cm, what is the length of the side opposite to the angle which measures 90°? 

Slope of the side DA of the rectangle ABCD is 1/What is the slope of the side AB?

Two circles with centres P and Q touch each other externally. A straight line drawn through the point of contact intersects the circle with centre P at A and the circle with centre Q at B. Then, which of the following is true?

From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of remaining solid?

A hexagonal prism has 18 edges. How many vertices does it have?

Analyze the figure shown below in which DE || BC and the other dimensions are as follows: AD=3 cm, BD=4 cm, AE=4.4 cm and DE=6 cm. Calculate the length (in cm) of BC.

The point equidistant from the sides of a triangle is called

If ABCD is a Cyclic Quadrilateral, then the value of Cos2A - Cos2B - Cos2C + Cos2D is

A solid has 12 vertices and 30 edges. How many faces does it have?

In a flask of volume 'V' litres, 0.2 moles of . 0.4 moles of , 0.1 moles of and 0.3 moles of gases are present at 27 °C. If the total pressure exerted by these non-reacting gases is 1 atm, the partial pressure exerted by gas is:

At least one diagonal bisects the other in a _____.

In triangle ABC measure of angle B is 90 deg. If sinA = 24/25, and AB = 1.4cm, then what is the length (in cm) of side BC.

What is the slope of the line 2x + 3y = 12?

The total surface area of a cube is 181.5 cm². Find its side (in cm).

What are the co-ordinates of the centroid of a triangle, whose vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?

The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be

The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?

The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by

Total surface area of a cube is 486 sq cm, find sum of length of all its edges?

What is the reflection of the point (5 , -1) in the line y = 2?

An angle is greater than its complementary angle by 40°. Find the measure of the angle?

In an isosceles triangle ABC, AB = AC, XY || BC. If ∡A = 30, then ∡BXY =

The total surface area of a cube is 337.5 cm². Find its side (in cm).

In a triangle the length of the side opposite the angle which measures 30° is 9 cm, what is the length of the side opposite to the angle which measures 60°?

Find the sum of interior angles of a decagon?

The radius of a wire is decreased to one-third. If volume remains the same, length will increase by

In which of the following quadrilaterals opposite angles are supplementary?

ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?

The point of the intersection of three medians is known as the ____________.

The side BC of ΔABC is produced to D. If ∠ACD = 114° and ∠ABC= (1/2)∠BAC, then what is the value (in degrees) of ∠BAC?

If the in radius of the equilateral triangle is 8 cm then what is the value of circum radius (in cm) of the triangle?

At least two pairs of consecutive angles are congruent in a _____.

Find the perimeter (in cm) of a semicircle of radius 14 cm.

The lengths of diagonals of a rhombus are 24cm and 10cm the perimeter of the rhombus (in cm ) is :

In which of the following quadrilaterals only one pair of opposite angles is supplementary?

An angle in a semicircle is

The total surface area of a cube is 73.5 sq.cm. Find its side (in cm).

Suppose that the medians BD, CE and AF of a triangle ABC meet at G. Then AG: GF is

The circumference of a circle is equal to the perimeter of an equilateral Δ. If the radius of the circle is 14 cm what is the length of the side of the equilateral Δ?

If in-radius of an equilateral triangle is 3 cm. Calculate the perimeter (in m) of the equilateral triangle.

If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.

What is the equation of the line perpendicular to the line 2x + 3y= -6 and having Y-intercept 3?

Find the volume (in cub.cm) of a hemisphere of diameter 21 cm.

What is the total surface area (in sq cm) of a hollow cylinder open at both ends, if its length is 22 cm, external radius is 7 cm and thickness is 1 cm? (Take π = 22/7)

The point of intersection of all the angle bisector of a triangle is ______ of the triangle.

Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm, 4.5 cm and the distance between their centres is 10 cm.

ABCD is an isosceles trapezium such that AD||BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in cm2) of trapezium?

If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm then its volume is