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Find the points on the curve x^(2)+y^(2)...

Find the points on the curve `x^(2)+y^(2)-2x-3=0` at which the tangents are parallel to the X-axis.

A

`(0, pm sqrt(3))`

B

`(2, pm sqrt(3))`

C

`(1,2), (1,-2)`

D

(3, 0)

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. The equation of tangent to y=cos x at (0, 1) is ………..

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

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

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

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

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

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

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

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

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  10. f(x)=tan^(-1)x-x, is …………

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

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

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

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

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

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

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

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  18. The local minimum value of x^(2)+(16)/(x)(x ne 0) is ………….

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  19. The minimum value of sec x, x in [(2pi)/(3),pi] is ……….

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  20. The maximum value of cosec x, x in [(pi)/(6), (pi)/(3)] is ………

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