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

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

A

touch each other

B

cut at right angle

C

cut at angle `pi/3`

D

cut at an angle `pi/4`

Text Solution

Verified by Experts

The correct Answer is:
B
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ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-I
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  3. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

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  4. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

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  5. The equation of the normal to the curve y = sin x at (0,0) is

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  6. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

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  7. The curve y=x^(1/5) has at (0, 0)

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

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

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

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

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

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

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

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

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

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

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

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