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If the curve at ay+x^(2)=7 and x^(3)=y, ...

If the curve at `ay+x^(2)=7 and x^(3)=y`, cut orthogonally at (1, 1), then the value of a is :

A

1

B

0

C

-6

D

6

Text Solution

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The correct Answer is:
D
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ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-I
  1. The curve y=x^(1/5) has at (0, 0)

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  2. Find the equations of the normals to the curve: 3x^2-y^2=8, which are ...

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  3. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

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  4. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

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  5. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

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  6. The tangent to the curve y=e^(2x) at the point (0, 1) meets x-axis at ...

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  7. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

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

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  9. Find the intervals in which the following functions are (a)increasing ...

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  10. Let f:R to R be defined by f(x)=2x+cosx, then f:

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  11. y=x(x-3)^(2) decreases for the values of x given by :

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  12. The function f(x)=4sin^(3)x-6sin^(2)x+12sinx+100 is strictly

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  13. Which of the following function is strictly decreasing in ( 0, pi/2) ?

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  14. The function f(x) = tanx - x

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  15. If x is real, the maximum value of x^2 -8x + 17 is

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  16. The smallest value of polynomial x^(3)-18x^(2)+96x in [0, 9] is

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  17. The function f(x)=2x^(3)-3x^(2)-12x+4, has

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  18. Find the maximum value of sin x cos x.

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  19. At x=(5pi)/6, f(x)=2sin3x+3cos3x is :

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  20. Find the maximum slope of the curve: y = -x^3 + 3x^2 + 2x - 27

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