Instructions

For the following questions answer them individually

Question 91

If $$2y \cos \theta = x \sin \thetaÂ andÂ 2x \sec \theta - y \cosec \theta = 3$$, then the value of $$x^2 + 4y^2$$ is

Question 92

From the top of a cliff 100 metre high, the angles of depression of the top and bottom of a tower are $$45^\circ$$ and $$60^\circ$$ respectively. The height of the tower is

Question 93

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is $$\alpha$$ and that of the top of the flag staff is $$\beta$$. Then the height of the tower is

Question 94

A man on the top of a tower, standing on the sea-shore, finds that a boat coming towards him takes 10 minutes for the angle of depression to change from $$30^\circ$$ to $$60^\circ$$. How soon the boat reach the sea-shore ?

Question 95

The expression of $$\frac{\cot \theta + \cosec \theta - 1}{\cot \theta + \cosec \theta + 1}$$ is equal to

Instructions

The following pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing, answer the question

Question 100

The ratio of average of expenses on food, clothing and miscellaneous items to the average of expenses on savings and rent is