## SSC GD Mathematics Test 8

Instructions

For the following questions answer them individually

Question 1

If $$x^2+y^2=29$$ and xy=10, where x>0,y>0,x>y then the value of $$\frac{x+y}{x-y}$$ is

Question 2

What is the value of $$\frac{3}{2}(\frac{\cos 39}{\sin51})-\sqrt{\sin^2 39+\sin^2 51}=?$$

Question 3

If sinθ + cosθ = 1, then the sinθ cosθ is equal to

Question 4

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

Question 5

If a - b = 2 and ab = 24, then what is the value of $$a^{3} - b^{3}$$?