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If at each point of the curve y=x^3-a x^...

If at each point of the curve `y=x^3-a x^2+x+1,` the tangent is inclined at an acute angle with the positive direction of the x-axis, then `a >0` (b) `a<-sqrt(3)` `-sqrt(3)<=a<=` `sqrt(3)` (d) `non eoft h e s e`

A

`a gt 0`

B

`a le sqrt(3)`

C

`- sqrt(3) le a le sqrt(3)`

D

None of these

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The correct Answer is:
D
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
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  4. The slope of the tangent to the curve y = 3x^(2) - 5x + 6 at (1, 4) is

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  9. Find the distance between the point (1, 1) and the tangent to the curv...

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  14. If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x inters...

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  15. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0

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  17. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

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  18. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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