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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 2 (b) 1 (c) 0 (d) 4

A

2

B

1

C

0

D

4

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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 the tangent of the curve x=a(t+s in tcos t),y=a(1+s ...

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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- axis a...

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  7. If the line joining the points (0,3)a n d(5,-2) is a tangent to the cu...

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

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

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

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  11. The equation of the tangent to the curve y=b e^(-x//a) at the point wh...

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

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  13. A function y-f(x) has a second-order derivative f^(x)=6(x-1)dot It its...

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

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

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  16. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

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  17. The x-intercept of the tangent at any arbitrary point of the curve a/(...

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  18. Given g(x)=(x+2)/(x-1) and the line 3x+y-10=0. Then the line is (a)tan...

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  19. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

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  20. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

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