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The angle made by the tangent with the +...

The angle made by the tangent with the + ve direction of X-axis to `x=e^(t)cos t, y = e^(t)sin t` at `t=(pi)/(4)` is ……….

A

`(pi)/(4)`

B

`(pi)/(2)`

C

0

D

`(pi)/(3)`

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The correct Answer is:
B
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. The slope of normal to (3t^(2)+1, t^(3)-1) at t = 1 is ………….

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  2. The equation of normal to 3x^(2)-y^(2)=8 at (2, -2) is ……..

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  3. The angle made by the tangent with the + ve direction of X-axis to x=e...

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  4. The equation of tangent to y=cos x at (0, 1) is ………..

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  5. The equation of normal to y = sin x at ((pi)/(2),1) is ……….

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  6. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

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  7. The point on y^(2)=x where tangent makes angle of measure (pi)/(4) wit...

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  8. A cone with its height equal to the diameter of the base is expanding ...

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  9. The rate of increase of f(x)=x^(3)-5x^(2)+5x+25 is twice the rate of i...

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  10. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

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  11. The rate of change of surface area of a sphere w.r.t. radius is ………..

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  12. The rate of change of volume of a cylinder w.r.t. radius whose radius ...

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  13. f(x)=tan^(-1)x-x, is …………

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  14. f(x)=2x-tan^(-1)x-log|x+sqrt(1+x^(2))| is ……….. (x in R)

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  15. If ……….., then f(x)=x^(2)-kx+20, [0,3] is strictly increasing.

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  16. f(x)=|x-1|+|x-2| is increasing if ………..

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  17. The points on the curve 9y^(2)=x^(3), where the normal to the curve ma...

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  18. y=mx+4 touches y^(2)=8x, if m = ………..

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  19. The measure of the angle between the curves y=2 sin^(2)x and y = cos 2...

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  20. The normal to x^(2)=4y passing through (1, 2) has equation ……….

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