The length of the diagonal of a square is ‘a’ cm. Which of the following represents the area of the square (in sq. cm.)?

The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p₁ , p₂ and p₃ . The length of each side of the triangle is

If x = 332, y = 333, z = 335, then the value of x³ + y³ + z³ – 3xyz is

The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.

Direction: Study the following line graph carefully and answer the questions given below.
 In the below line graph, the number of animals in two zoo A and B in the years – 2001, 2003, 2005 and 2007 is given.

If in the year 2005, 35% of animals in zoo-A and 55% of animals in zoo-B are carnivorous, then what is the sum of the number of carnivorous animals in zoo A and B in the years 2005?

If $$A={{2^7×3^7}}$$, $$B={{2^7×3^5}}$$ and $$C={{2^8×3^4}}$$, then what is the least common multiple of A, B and C?

If   $$x+{1\over x}=2 $$ then the value of    $$x^{12}-{1\over x^{12}} $$ is

Find the area of the triangle whose sides are 5 cm, 12 cm and 13 cm.