A varies jointly with B and C. A = 6 when B = 3 and C = 2. Find A when B = 5 and C = 7.

If $$ {y\over {x-3}}={y+x\over 3}={x\over y}$$ then 3 : y : x equal to :

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is

What is the value of $${\sqrt{1-cosA\over{1+cosA}}}$$?

The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:

The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is:

Directions: The Pie chart given here represents the domestic expenditure of a family in per cent. Study the chart and answer the following questions if the total monthly income of the family is ₹ 33,650.

A: Expenditure on food

B: Expenditure on house-rent

C: Expenditure on entertainment

D: Expenditure on education and maintenance of children

E: Medical and miscellaneous expenditure

F: Deductions towards provident fund

After provident fund deductions and payment of house rent, the total monthly income of the family remains

$$ {a^2-b^2-2bc-c^2}\over{a^2+b^2+2ab-c^2}$$ is equal to