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The area bounded by the curve a^2y=x^2(x...

The area bounded by the curve `a^2y=x^2(x+a)` and the x-axis is `(a^2)/3s qdotu n i t s` (b) `(a^2)/4s qdotu n i t s` `(3a^2)/4s qdotu n i t s` (d) `(a^2)/(12)s qdotu n i t s`

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Area bounded by the curve x y^2=a^2(a-x) and the y-axis is (pia^2)/2s qdotu n i t s (b) pia^2s qdotu n i t s 3pia^2s qdotu n i t s (d) None of these

Let f(x)=x^3+3x+2a n dg(x) be the inverse of it. Then the area bounded by g(x) , the x-axis, and the ordinate at x=-2a n dx=6 is (a) 9/4s qdotu n i t s (b) 4/3s qdotu n i t s (c) 5/4s qdotu n i t s (d) 7/3s qdotu n i t s

The area enclosed between the curve y^2(2a-x)=x^3 and the line x=2a above the x-axis is (a) pia^2s qdotu n i t s (b) (3pia^2)/2s qdotu n i t s (c) 2pia^2s qdotu n i t s (d) 3pia^2s qdotu n i t s

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is (a) 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

The area of the loop of the curve a y^2=x^2(a-x) is 4a^2s qdotu n i t s (b) (8a^2)/(15)s qdotu n i t s (16 a^2)/9s qdotu n i t s (d) None of these

The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

The area bounded by the curves y=x e^x ,y=x e^(-x) and the line x=1 is 2/e s qdotu n i t s (b) 1-2/e s qdotu n i t s 1/e s qdotu n i t s (d) 1-1/e s qdotu n i t s

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

The area bounded by the curves y=sinx between the ordinates x=0,\ x=pi and the x-axis is 2\ s qdotu n i t s b. 4\ s qdotu n i t s c. 3\ s qdotu n i t s d. 1\ s qdotu n i t s

The area bounded by the loop of the curve 4y^2=x^2(4-x^2) is (a)7/3 sq. units (b) 8/3s qdotu n i t e s (11)/3s qdotu n i t s (d) (16)/3s qdotu n i t s

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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