For the following questions answer them individually
The height of a tower is h and the angle of elevation of the top of the tower is a. On moving a distance h/2 towards, the tower, the angle of elevation becomes 0. The value of cotα - cot β is
Given that ∠ABC = 90°, BC is parallel to DE. If AB = 12, BD = 6 and BC = 10, then the length of DE is
AB and CD are two parallel chords drawn on two opposite sides of their parallel diameter such that AB = 6 cm, CD = 8 cm. If the radius of the circle is 5 cm, the distance between the chords, in cm, is
A chord AB of length 3$$\sqrt{2}$$ unit subtends a right angle at the centre 0 of a circle. Area of the sector AOB (in sq. units) is
If $$sin θ + sin^2θ + sin^3θ = 1$$, then $$cos^6θ - 4cos^4θ + 8cos^2θ$$ is equal to
A man is climbing a ladder which is inclined to the wall at an angle of 30°. If he ascends at a rate of 2 m/s, then he approaches the wall at the rate of
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