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If the area bounded between X-axis and t...

If the area bounded between X-axis and the graph of `y=6x-3x^2` between the ordinates `x=1` and x=a` is 10sq units, then 'a' can take the value

A

4 or -2

B

two values are in (2,3) and one in (-1,0)

C

two values are in (3,4) and one in (-2,-1)

D

None of the above

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Single Option Correct Type Questions)
  1. If the area bounded by the corve y=x^(2)+1, y=x and the pair of lines ...

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  2. Suppose y=f(x) and y=g(x) are two continuous functiond whose graphs in...

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  3. Let 'a' be a positive constant number. Consider two curves C1: y=e^x...

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  4. 3 point O(0,0),P(a,a^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2...

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  5. Area enclosed by the graph of the function y= In^2x-1 lying in the 4...

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  6. The area bounded by y = 2-|2-x| and y=3/|x| is

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  7. Suppose g(x)=2x+1 and h(x)=4x^(2)+4x+5 and h(x)=(fog)(x). The area enc...

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  8. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle...

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  9. y=f(x) is a function which satisfies f(0)=0, f"''(x)=f'(x) and f'(0)=1...

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  10. Aea of the region nclosed between the curves x=y^2-1 and x=|y|sqrt(1-y...

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  11. The area bounded by the curve y=xe^(-x);xy=0and x=c where c is the x-c...

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  12. If (a,0), agt 0, is the point where the curve y=sin 2x-sqrt3 sin x cut...

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  13. The curve y=ax^2+bx +c passes through the point (1,2) and its tangent ...

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  14. A function y=f(x) satisfies the differential equation (dy)/(dx)-y= co...

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  15. If the area bounded between X-axis and the graph of y=6x-3x^2 between ...

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  16. Area bounded by y=f^(-1)(x) and tangent and normal drawn to it at poin...

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  17. If f(x)=x-1 and g(x)=|f|(x)|-2|, then the area bounded by y=g(x) and t...

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  18. Let S = {(x,y): (y(3x-1))/(x(3x-2))<0}, S'= {(x,y) in AxxB: -1 leqAleq...

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  19. The area of the region bounded between the curves y=e||x|In|x||,x^2+y...

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  20. A point P lying inside the curve y = sqrt(2ax-x^2) is moving such that...

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