SSC CGL Tier-2 01-December-2016 Maths
For the following questions answer them individually
If $$2y \cos \theta = x \sin \theta and 2x \sec \theta - y \cosec \theta = 3$$, then the value of $$x^2 + 4y^2$$ is
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
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
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 ?
The expression of $$\frac{\cot \theta + \cosec \theta - 1}{\cot \theta + \cosec \theta + 1}$$ is equal to
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
The ratio of average of expenses on food, clothing and miscellaneous items to the average of expenses on savings and rent is
