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Consider two regions: R1: Point P is n...

Consider two regions:` ` ` R_1:` Point `P` is nearer to `(1,0)` then to `x=-1.` `R_2:` Point `P` is nearer to `(0,0)` then to `(8,0).` Then which of the following statements are true: `Statement 1`: The area of the region common to `R_1 and R_2` is `(128)/3s q dotu n i t s`. ` ``Statement 2` : The area bounded by `x=4sqrt(y) and y=4` is `(32)/3s qdotu n i t s`.

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Consider two regions R_(1):"points P are nearer to (1,0) than to "x=-1. R_(2): "Points P are nearer to (0,0) than to (8,0)" Find the area of the region common to R_(1) and R_(2).

The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x and ygeq1nx is (a) 6-41n2s qdotu n i t s (b) 41n2-2s qdotu n i t s 21n2-4s qdotu n i t s (d) 6-21n2s qdotu n i t s

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

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 of the smaller region bounded by circle x^2+y^2=1 and |y|=x+1 (a) pi/2-1/2s qdotu n i t s (b) pi/2-1s qdotu n i t s (c) pi/2s qdotu n i t s (d) pi/2 +1s 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 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 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 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

If the angles of a triangle are 30^0a n d45^0 and the included side is (sqrt(3)+1) cm, then area of the triangle is 1/2(sqrt(3)+1)s qdotu n i t s area of the triangle is 1/2(sqrt(3)-1)s qdotu n i t s

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