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The number of tangents to the curve x^(3...

The number of tangents to the curve `x^(3/2)+y^(3/2)=2a^(3/2),a >0,` which are equally inclined to the axes, is

A

2

B

1

C

0

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
  1. The number of tangents to the curve x^(3/2)+y^(3/2)=2a^(3/2),a >0, whi...

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  2. The angle made by any tangent to the curve x=a(t+sintcost) , y=(1+sint...

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  3. If m is the slope of a tangent to the curve e^y=1+x^2, then |m|>1 (b)...

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  4. If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined...

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  5. The slope of the tangent to the curve y=sqrt(4-x^2) at the point where...

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  6. The curve given by x+y=e^(x y) has a tangent parallel to the y-a xi s ...

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  7. Find value of c such that line joining the points (0, 3) and (5, -2) b...

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  8. A differentiable function y= f(x) satisfies f'(x)=(f (x))^2+5 and f (0...

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  9. The distance between the origin and the tangent to the curve y=e^(2x)+...

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  10. The point on the curve 3y = 6x-5x^3 the normal at Which passes throug...

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  11. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

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  12. At what point of curve y=2/3x^3+1/2x^2, the tangent makes equal angle ...

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  13. The equation of tangent to the curve y=b^(-x//a) at the point where it...

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  14. Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/...

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  15. A function y = f(x) has a second-order derivative f''(x) =6(x-1). If i...

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  16. x+y-ln(x+y)=2x+5 has a vertical tangent at the point (alpha,beta) the...

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  17. A curve is difined parametrically by x=e^(sqrtt),y=3t-log(e)(t^(2)), w...

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  18. If x+4y=14 is a normal to the curve y^2=alphax^3-beta at (2,3), then t...

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  19. In the corve represented parametrically by the equations x=2ln cott+1 ...

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  20. The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tan...

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