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The graph of y^2+2x y+40|x|=400 divides ...

The graph of `y^2+2x y+40|x|=400` divides the plane into regions. Then the area of the bounded region is `200s qdotu n i t s` (b) `400s qdotu n i t s` `800s qdotu n i t s` (d) `500s qdotu n i t s`

A

400

B

800

C

600

D

None of these

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The correct Answer is:
B
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The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then the area of the bounded region is (a) 200s qdotu n i t s (b) 400s qdotu n i t s (c) 800s qdotu n i t s (d) 500s 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

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

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 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 y=2-x^2a n d\ x+y=0 is (a) 7/2s qdotu n i t s b. 9/2\ s qdotu n i t s c. 9\ s 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

A straight line passing through P(3,1) meets the coordinate axes at Aa n dB . It is given that the distance of this straight line from the origin O is maximum. The area of triangle O A B is equal to (50)/3s qdotu n i t s (b) (25)/3s qdotu n i t s (20)/3s qdotu n i t s (d) (100)/3s qdotu n i t s

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 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

ARIHANT MATHS ENGLISH-AREA OF BOUNDED REGIONS-Exercise For Session 2
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  3. The area bounded by the curve y=x |x|, x-axis and the ordinates x=-1 &...

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  4. Area of the region bounded by the curves y=2^(x),y=2x-x^(2),x=0" and "...

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  5. Find the area (in sq. unit) bounded by the curves : y = e^(x), y = e^(...

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  6. Area of the region bounded by the curve y^2=4x , y-axis and the line y...

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  7. The area of the region bounded by y=sinx, y=cosx in the first quadrant...

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  8. The area bounded by the curves y=xe^(x),y=xe^(-x) and the line x=1 is

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  9. The figure into which the curve y^2 = 6x divides the circle x^2 + y^2 ...

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  10. Find the area bounded by the y-axis, y=cosx ,and y=sinx when 0lt=xlt=p...

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  11. The area bounded by the curvesy=-x^(2)+2 and y=2|x|-x is

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  12. The are bounded by the curve y^2 = 4x and the circle x^2+y^2-2x-3=0 is

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  13. A point P moves inside a triangle formed by A(0,0),B(1,sqrt(3)),C(2,0)...

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  14. The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then t...

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  15. The area of the region defined by | |x|-|y| | le1 and x^(2)+y^(2)le1 i...

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  16. The area of the region defined by 1 le |x-2|+|y+1| le 2 is (a) 2 (b) 4...

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  17. The area of the region enclosed by the curve |y|=-(1-|x|)^2+5, is

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  18. The area bounded by the curve f(x)=||tanx+cotx|-|tanx-cotx|| between t...

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  19. If f(x) = max {sin x, cos x,1/2}, then the area of the region bounded ...

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