In a ∆ ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ=PQ and QC=QR. If ∠BAC = 75⁰, what is the measure of ∠PQR (in degress)?

If the circumference of a circle is equal to the perimeter of a square, and the radius of the given circle is positive, then which of the following options is correct?

The diameter of the base of a right-circular cylinder is 12 cm and the height of the cylinder is 2.45 times the radius of its base. Find the curved surface area of the cylinder. [Use π=22/7]

If the numerical value of thes perimeter of an equilateral triangle is  times the area of it, then the length of each side of the triangle is

A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl

The curved surface area of a right cylinder is 3696 cm². Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take π =22/7)

The diagonal of a square is cm. The diagonal of another square whose area is double that of the first square is :

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