Directions:  In the following two equations questions numbered (I) and (II) are given. You have to solve both equations and
Give answer
(a) If x > y
(b) If x ≥ y
(c) If y > x
(d) If y ≥ x
(e) If x = y or no relation can be established

$$ {I.x^{2}=81}$$
$$ {II.(y-9)^{2}}=0$$

Simplify : $$ {(2x)^{2}-(2y)^{2}-(4x)^{2}}$$

If in a triangle, the orthocenter lies on vertex, then the triangle is 

Study the following graph carefully to answer the given questions

A is twice efficient as B and together they do the same work in as much time as T and V together. In how many days A can complete the work individually?

Two numbers are such that their difference, their sum and their product is in the ratio of 1: 7: 24. The product of numbers is

A alone can complete a work in 6 days and B alone can complete the same work in 8 days. In how many both A and B together can complete the same work ?

A businessman’s earning increases by 25% in one year but decreases by 4% in the next. After 5 years his total earnings would be Rs. 72,000. What is the present earning?

The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is: