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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 an angle `pi/3`

D

cut at an angle `pi/4`

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Which of the following function is increasing for all values of x in i...

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  2. The interval in which te function f(x) =x^2 -6x+5 increasing is

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

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  5. A straight line parallel to the line 2x-y+5 =0 is also a tangent to th...

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  6. The function f(x) = 2x^3 -15x^2+36x+6 is stictly decreasing in the int...

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  7. The slope of the tangent to the curve y^2e^(xy) =9e^(-3)x^2 at (-1,3) ...

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  8. The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with ...

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  9. A stone is dropped into a quiet lake and wave move in circles at a spe...

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  10. If 'f' is a real valued differentiable function such that f(x) f'(x) <...

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  11. Maximum value of the function f(x) = x/8+2/x on the interval [1,6] is

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  12. f(x) = (logx)/x is increasing in the interval

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  13. The total number of local maxima and local minima of the function f(x)...

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  14. Given p(x) =x^4 +ax^3 +bx^2+cx +d such that x = 0 is the only real roo...

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  15. The equation of the tangent to the curve y = x+4/x^2, that is parallel...

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  16. Let f: R rarr R be a positive increasing function with underset(xrar...

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  17. Let F: R rarr R be defined by: f(x) = {:{(k-2x,ifxle-1),(2x+3,ifx> -1)...

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  18. A spherical balloon is filled with 4500pi cubic metres of helium gas. ...

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  19. The real number k for which the equations 2x^3 +3x+k=0 has two distinc...

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  20. The number of points in (-oo,oo) for which x^(2)-xsinx-cosx=0, is

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