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Let `a_(1), a_(2), a_(3)` …. `a_(n)` be in G.P. If the area bounded by the curve `y^(2) = 4a_(n) X` and `y^(2) = 4a_(n) (a_(n) - x)` be `A_(n)`, then the sequence `A_(1), A_(2), A_(3)`…….`A_(n)` are in

A

A.P

B

G.P

C

H.P

D

none of these

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The correct Answer is:
B
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Let a_(1),a_(2),a_(3),...a_(n) be an AP.Prove that: (1)/(a_(1)a_(n))+(1)/(a_(2)a_(n-1))+(1)/(a_(3)a_(n-2))+......+(1)/(a_(n)a_(1))=

If a_(1),a_(2),...a_(n) are in H.P then the expression a_(1)a_(2)+a_(2)a_(3)+...+a_(n-1)a_(n) is equal to

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FIITJEE-AREA-Assignment Problems (Objective) Level - I
  1. Let A(1) (r in N) be the area of the bounded region whose boundary is ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Find the area of the triangle formed by the tangents drawn from the po...

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  16. Let the curve C : y = x^(6) + 8x^(5) + bx^(4) + cx^(3) + dx^(2) + ex +...

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  17. v22

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  18. The area bounded by y=x^(2)+2 and y=2|x|-cospi x is equal to

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  19. Statement - 1 Let ABCD and BEFG are two parallelograms such that E lie...

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  20. Let P(x,y) be a point inside the equilateral Delta ABC such that d(P, ...

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