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The curve y=ax^2+bx +c passes through th...

The curve `y=ax^2+bx +c` passes through the point `(1,2)` and its tangent at origin is the line `y=x`. The area bounded by the curve, the ordinate of the curve at minima and the tangent line is

A

`1/24`

B

`1/12`

C

`1/8`

D

`1/6`

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The correct Answer is:
A
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ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Single Option Correct Type Questions)
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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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  11. The area bounded by the curve y=xe^(-x),y=0 and x=c, where c is the x-...

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

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