A horse is tethered to one corner of a rectangular field of dimensions 70 m × 52 m, by rope of length 21 m. How much area of the field can it graze?

In a classroom, 4 friends are seated at the points A, B, c and D as shown in Fig. 2. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using distance formula, find which of them is correct.

Solve graphically:

2x – 3y + 13 = 0; 3x – 2y + 12 = 0

Find the quadratic polynomial, the sum and product of whose zeroes are –3 and 2 respectively. Hence find the zeroes.

A person standing on the bank of a river observes that the angles elevation of the top of a tree standing on opposite bank is 60°. When he moves 30 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tree and width of the river. [Take = 1732]