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If [(4a^2,4a,1),(4b^2,4b,1),(4c^2,4c,1)...

If `[(4a^2,4a,1),(4b^2,4b,1),(4c^2,4c,1)][(f(-1)),(f(1)),(f(2))][(3a^2+3a),(3b^2+3b),(3c^2+3c)] ` ,`f(x)` is a quadratic function and its maximum valueoccurs at a point V.A is a point of intersection of `y = f (x)` with X-axis and point B is such that chord AB subtendsa right angle at V. Find the area enclosed by f(x) andchord AB.

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The correct Answer is:
`125/3` square units.
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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -High Level Problem
  1. Given that lim(x to oo)(int(0)^(x)(t^(2))/(sqrt(a+t))dt)/(bx-sinx) = 1...

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  2. Draw a graph of the function f(x) = cos^(-1) (4x^(3)-3x), x in [-1,1] ...

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  3. Consider a square with vertices at (1,1),(-1,1),(-1,-1),a n d(1,-1)dot...

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  4. If [x] denotes the greatest integer function. Draw a rough sketch of t...

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  5. Find the area of the region bounded by y = f(x), y = |g(x)| and the li...

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  6. Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| ...

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  7. Find the area of region {(x,y):0leylex^(2)+1, 0 le y le x+ 1, 0 le x ...

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  8. A curve y=f(x) passes through point P(1,1) . The normal to the curv...

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  9. Find the area bounded by y = [-0. 01 x^(4) - 0.02 x^(2)], (where [*] ...

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  10. Let ABC be a triangle with vertices A -=(6,,2sqrt3+1))),B-=(4,2)and C-...

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  11. Find the area of the region which is inside the parabola satisfying t...

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  12. Find the area of the region which is inside the parabola y = - x^(2) +...

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  13. Consider the curve C: y = sin 2x - sqrt(3)|sinx|, C cuts the x-axis at...

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  14. Area bounded by the line y=x, curve y=f(x),(f(x)gtx,AA xgt1) and the l...

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  15. Consider the two curves y = 1//x^(2) and y = 1//[4(x-1)]. At what v...

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  16. Let C1 and C2, be the graph of the functions y= x^2 and y= 2x, 0<=x<=...

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  17. Given the parabola C : y = x^(2). If the circle at y axis with radius...

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  18. If [(4a^2,4a,1),(4b^2,4b,1),(4c^2,4c,1)][(f(-1)),(f(1)),(f(2))][(3a^2...

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  19. f(x) and g(x) are polynomical of degree 2 such that |int(a(1))^(a(2...

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  20. Let L = 4x- 5y, L(i) = (x)/(10) - (i)/(n), L(i) = x/10 + y/8 + i/n, a...

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