1.

Find the ara of the region bounded by : (i) the parabola y = x^(2) and the line y=x (ii) the parabola y ^(2) =x and line x+ y =2 (iii) the curve x ^(2) = 4y and the straight line x = 4y -2 (iv) the parabola y ^(2) = 4 ax and the chord y = mx (v) the parabola y ^(2) = 4 ax and its latus-rectum (vi) the parabola (I) y ^(2) = 8x (II) y ^(2) = 6xand the latus rectum.

Answer»


ANSWER :`(i) 1/6 (ii) 9/2 (iii) 9/8 (IV) (8A ^(2))/(3m^(3)) (v) (8)/(3) a ^(2) (VI) (I) (32)/(3) (II)` 6 (sq. units).


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