22 The area of the smaller part of the circle, + = cut off by the line, , is the x2 y2 a2, area ABCDA. It can be observed that the area ABCD is symmetrical about x-axis. Area ABCD = 2 × Area ABC 2M Therefore, the area of smaller part of the circle, + = cut off by the line, , is x2 y2 a2, ½ M 1M 1M 1M ½ M 23 Let godown A supply and quintals of grain to the shops D and E respectively. x y Then, (100 will be supplied to shop F. x y) − − The requirement at shop D is 60 quintals since quintals are transported from x godown A. Therefore, the remaining (60 quintals will be transported from −x) godown B. Similarly, (50 quintals and 40 (100 = (x + 60) quintals will be y) x y) y − − − − − transported from godown B to shop E and F respectively.
22 The area of the smaller part of the circle, x2 + y2 = a2, cut off by the line, , is the area ABCDA. It can be observed that the area ABCD is symmetrical about x-axis. Area ABCD = 2 × Area ABC Therefore, the area of smaller part of the circle, x2 + y2 = a2, cut off by the line, , is 2M ½ M 1M 1M 1M ½ M 23 Let godown A supply x and y quintals of grain to the shops D and E respectively. Then, (100 − x − y) will be supplied to shop F. The requirement at shop D is 60 quintals since x quintals are transported from godown A. Therefore, the remaining (60 −x) quintals will be transported from godown B. Similarly, (50 − y) quintals and 40 − (100 − x − y) = (x + y − 60) quintals will be transported from godown B to shop E and F respectively.