The graphs of x = a and y = b intersect at 

If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?

(0.5 ×5 + 0.25 ×0.5 + 0.5 × 4 + 0.5 ×0.75) is equal to-

A tower standing on a horizontal plane subtends a certain angle at a point 160 cm a part from the foot of the tower. On advancing 100 meter towards the tower is found to subtend an angle twice as before. The height of tower is__

In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm² and AC=3AB, then the area of ΔABC:

In a circle of radius 17 cm, two parallel chords of lengths 30 cm. and 16 cm are drawn. If both the chords are on the same side of the center, then the distance between the chords is -

$${I. \sqrt{200x}+\sqrt{102}=0}$$
$${II.\sqrt{160y}+\sqrt{200}=0}$$

A starts a business with ₹75,000 and B joins the business 5 months later with an investment of ₹80,000. After 1 year, they earn a profit of ₹4,08,800. Find the share of A and B (in ₹).