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Let a(1), b(1) = 8, a(1 + 1) = a(1) + (3...

Let `a_(1), b_(1) = 8, a_(1 + 1) = a_(1) + (3)/(2) b_(1)` and `b_(1 + 1) = (1)/(2) b_(1) AA I = 1,2,3`…… Let `A_(i)` be area of the loop formed by `|x - a_(1)| + |y| = b_(1)`. If all the loops are plotted on the same X-Y plane, then the value of `uu A_(1)` is

A

`(512)/(3)` sq. units

B

`(1024)/(3)` sq. units

C

`(2048)/(3)` sq. units

D

`(8192)/(3)` sq. units

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The correct Answer is:
A
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FIITJEE-AREA-Assignment Problems (Objective) Level - I
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  2. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

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  3. Let a(1), b(1) = 8, a(1 + 1) = a(1) + (3)/(2) b(1) and b(1 + 1) = (1)/...

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  4. For which of the following values of m is the area of the regions boun...

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  5. Let S1, S2, be squares such that for each ngeq1, the length of a side...

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  6. The area bounded by the curve x = sin^(-1) y, the x-axis and the lines...

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  7. Let A(1) (r in N) be the area of the bounded region whose boundary is ...

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  8. Area bounded by the curves y = 1 - 2^(1 + sin x), x in [0, (pi)/(2)] w...

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  9. The area defined by |x + 1| + |2y - 3| le 1 in the x-y coordinate pla...

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  10. The area defined by y le isn (sin^(-1) x) and x^(2) + y^(2) ge 1 is

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  11. The area defined by ||x + y| - |x - y|| le 1, x^(2) + y^(2) =(1)/(2) i...

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

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  13. The value of positive real parameter 'a' such that area of region blun...

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  14. The area bounded by the parabola x^(2) + 8x + 12 y + 4 = 0 and its lat...

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  15. The ratio of the areas of two regions of the curve C(1)-=4x^(2)+pi^(2)...

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  16. The the area bounded by the curve |x| + |y| = c (c > 0) is 2c^(2), the...

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  17. The area common to the region determined by y >= sqrtx and x^2 + y^2 <...

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  18. A variable circle C touches the line y = 0 and passes through the poin...

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  19. If area bouned by x^(3) y + xy^(3) - x^(2) y - xy^(2) = kxy is 0, then...

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  20. Let a(1), a(2), a(3) …. a(n) be in G.P. If the area bounded by the cur...

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