An isosceles triangle ABC is right angled at B.D is a point inside the triangle ABC. P and Q are the feet of the perpendiculars drawn from D on the side AB and AC respectively of ∆ ABC. If AP = a cm, AQ = b cm and ∠BAD = 15°, sin 75°=

Find the value of sin (1920°)

Two equal glasses filled with mixture of milk and water in the proportions of 2 : 1 and 1 : 1 respectively are emptied into a third glass. What is the proportion of milk and water in the third glass?

Two friends Pankaj and Raju entered into a partnership by investing an amount of Rs 6000 and Rs 9000 respectively and ratio of their period of investment is 2: 3. Find the profit share of Pankaj if profit share of Raju is Rs 45,000.

B is 10% more than A. C is 20% less than A. B is what percentage more than C?

For what value of ‘y’, $$ {x^{2}+{1\over12}{x}+y^{2}}$$ is perfect square?

If the area of a rhombus is 240 square feet if it's one diagonal is 16 feet, then what is the length (in meters) of the side of the rhombus?

An item costs ₹400. During a festival sale, a company offers a sale discount that offers x% off on its regular price along with a discount coupon of 10%. The price of the item after using both the sale discount and the discount coupon, is ₹216. What is the value of x?