Home
Class 12
MATHS
The two curves x^3 - 3x y^2 + 2 = 0 and ...

The two curves `x^3 - 3x y^2 + 2 = 0` and `3x^2y - y^3 - 2 = 0` intersect at an angle of

A

`pi/4`

B

`pi/3`

C

`pi/2`

D

`pi/6`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

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

The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0 at the origin intersect at an angle theta equal to (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

Find the value of p so that the three lines 3x + y - 2 = 0, px + 2y-3 =0 and 2x-y -3 =0 may intersect at one point.

If the two circles (x-1)^2+(y-3)^2= r^2 and x^2+y^2-8x+2y+8=0 intersect in two distinct points, then :

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively ,Tangent of internal angle A is equal to

Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect.

Find the equations of the line through the intersection of 2x - 3y + 4 = 0 and 3x + 4y - 5= 0 and perpendicular to 6x-7y +c = 0

consider two curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 these two curves intersect at four cocyclic points then find out a

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. The point on the curv3e y = sqrt(4x-3)-1, at which the slope of the ta...

    Text Solution

    |

  2. The point on the curve y = x^2 - 4 x + 4 at which the tangent is paral...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The point at which the curves x^2 =y and y^2 = x cut orthogonally is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The function f(x) = x has

    Text Solution

    |

  10. The function f(x) = 2x^3 - 6x^2 + 6x + 5 has

    Text Solution

    |

  11. Let f(x) = {:{(|x| for 0<|x|le1), (1 for x = 0):} then

    Text Solution

    |

  12. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

    Text Solution

    |

  13. At x = 5pi/6, f(x) = 2 sin 3x + 3 cos 3 x is

    Text Solution

    |

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

    Text Solution

    |

  15. The function f(x) = loge(x^3 + sqrt(x^6 +1)) is

    Text Solution

    |

  16. Let f(X) = tan^-1 g(x), where g (x) is monotonically increasing for 0<...

    Text Solution

    |

  17. Function f(X) = cos x - 2 lambdax is monotonic decreasing when

    Text Solution

    |

  18. Let g(x)=2f(x/2)+f(2-x) and f''(x) < 0 AA x in (0,2). If g(x) increa...

    Text Solution

    |

  19. f(x) = logAx is increasing on R, if

    Text Solution

    |

  20. The function f(x) = a^x is strict decreasing on R, If

    Text Solution

    |