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If the tangent to the curve y=ax^(2)+3x+...

If the tangent to the curve `y=ax^(2)+3x+7`, at the point `x=6`, is parallel to X-axis, then : `a^(=)`

A

`-(1)/(4)`

B

`(1)/(4)`

C

4

D

`-4`

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MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)
  1. If the tangent to the curve y=ax^(2)+3x+7, at the point x=6, is parall...

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  2. If the equation of the normal to the curve y=ax^(2)+2x-3, at =1, is x ...

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  3. Find the slope of the tangent to the curve x=t^2+3t-8 , y=2t^2-2t-5...

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  4. Inclination of the normal to the curve xy=c^(2), at the point x=c, is

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  6. If lines T(1) and T(2) touch the curve y=x^(2)-3x+2 at the points wher...

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  7. Equation of the tangent to the curve 4y=x^(2)+3x+2, which is parallel ...

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  8. If the line y=4x+2 touches the curve y=a+bx+3x^(2) at the point where ...

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  9. Equation of the tangent to the curve ((x)/(a))^(2009)+((y)/(b))^(20...

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  10. Any tangent to the curve y=1-x^(5)-8x makes with the X-axis

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  13. The function f(x)=x/2+2/x has a local minimum at x=2 (b) x=-2 x=0 (...

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  14. When x is positive, the minimum value of x^(x) is

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  15. If area of a rectangle is k^(2) , where k gt 0, then its minimum perim...

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  16. If minima of f (x) =(a)/(x)+bx at x = 2 is 2, then (a, b)-=…

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