The side QR of an equilateral triangle PQR is produced to the point S in such a way that QR = RS and P is joined to S. Then the measure of ∠PSR is

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

if (1+sinα) (1-sinβ) (1+sinγ)= (1-sinα) (1-sinβ) (1-sinγ)=?

The elimination of θ from x cosθ-y sinθ=2 and x sinθ + ycosθ = 4 will give

A kite in the shape of a square with a diagonal 32 cm attached to an equilateral triangle of the base 8 cm. Approximately how much paper has been used to make it? (Use √3 = 1.732)

The length of a plot is five times its breadth. A playground measuring 245 square metres occupies half of the total area of the plot. What is the length of the plot?

Rahul divides some money among his three sons A, B and C. The ratio of amount received by A and C together to the amount received by B is 5:2. C received 150% of the amount received by A. If the amount received by C is Rs. 1500. Find the sum of amount received by A and B together.

If the present population of a village is 55,566, which was 35000 2 years ago, then find the rate of increase of population per year.