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Area of the triangle formed by the line `x+y=3` and the angle bisectors of the pairs of straight lines `x^2-y^2+2y=1` is `2s qdotu n i t s` (b) `4s qdotu n i t s` `6s qdotu n i t s` (d) `8s qdotu n i t s`

A

2 sq units

B

4 sq units

C

6 sq units

D

8 sq units

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The correct Answer is:
A
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Area of the triangle formed by the line x+y=3 and angle bisectors of the pair of straight lines x^2-y^2+2y=1 is 2s qdotu n i t s b. 4s qdotu n i t s c. 6s qdotu n i t s d. 8s 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 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 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 of the triangle formed by the positive x- axis and the normal and tangent to the circle x^2+y^2=4 at (1,sqrt(3)) is (a) 2sqrt(3)s qdotu n i t s (b) 3sqrt(2)s qdotu n i t s (c) sqrt(6)s qdotu n i t s (d) none of these

The area bounded by the curve f(x)=x+sinx and its inverse function between the ordinates x=0a n dx=2pi is 4pis qdotu n i t s (b) 8pis qdotu n i t s 4s qdotu n i t s (d) 8s 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 of the closed figure bounded by y=(x^2)/2-2x+2 and the tangents to it at (1,1/2)a n d(4,2) is 9/8s qdotu n i t s (b) 3/8s qdotu n i t s 3/2s qdotu n i t s (d) 9/4s qdotu n i t s

The area of the region containing the points (x , y) satisfying 4lt=x^2+y^2lt=2(|x|+|y|) is (a) 8s qdotu n i t s (b) 2s qdotu n i t s (c) 4pis qdotu n i t s (d) 2pis qdotu n i t s

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

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