Home
Class 12
MATHS
The line tangent to the curves y^3-x^2y+...

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 `pi/6` (b) `pi/4` (c) `pi/3` (d) `pi/2`

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Multiple)|17 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Comprehension)|13 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.8|9 Videos
  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

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

The equation of the tangent to the curve y=2 sin x +sin 2x at x=pi/3 is equal to

If the line x cos theta+y sin theta=2 is the equation of a transverse common tangent to the circles x^(2)+y^(2)=4 and x^(2)+y^(2)=6sqrt(3)x-6y+20=0, then the value of theta is (5 pi)/(6) (b) (2 pi)/(3)( c) (pi)/(3)(d)(pi)/(6)

The angle between the curves (x^(2))/(25)+(y^(2))/(16)=1 and (x^(2))/(9)-(y^(2))/(27)=(1)/(4) at their points of intersections is equal to (A) tan^(-1)(3/5) (B) (pi)/(2) (C) (pi)/(4) (D) 0

The angle between the tangents to the parabola y^(2)=4ax at the points where it intersects with the line x-y-a=0 is (pi)/(3) (b) (pi)/(4)(c)pi(d)(pi)/(2)

The number of tangents to the curve y=cos(x+y),-2 pi<=x<=2 pi, that are perpendicular to the line 2x-y=3

Find the angle of intersection of the curves y^2=(2x)/pi and y=sinx at x = pi/2 is .

CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
  1. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

    Text Solution

    |

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

    Text Solution

    |

  3. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

    Text Solution

    |

  4. The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is ...

    Text Solution

    |

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

    Text Solution

    |

  6. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) touch each other (b)...

    Text Solution

    |

  7. The coordinates of a point on the parabola y^2=8x whose distance from ...

    Text Solution

    |

  8. At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first q...

    Text Solution

    |

  9. Let f be a continuous, differentiable, and bijective function. If the ...

    Text Solution

    |

  10. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  11. Find the rate of change of volume of a sphere with respect to its s...

    Text Solution

    |

  12. If there is an error of k % in measuring the edge of a cube, then the ...

    Text Solution

    |

  13. A lamp of negligible height is placed on the ground l1 away from a wal...

    Text Solution

    |

  14. The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle'...

    Text Solution

    |

  15. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  16. A cube of ice melts without changing its shape at the uniform rate ...

    Text Solution

    |

  17. The radius of the base of a cone is increasing at the rate of 3 cm/min...

    Text Solution

    |

  18. If f(x)=x^3+7x-1, then f(x) has a zero between x=0a n dx=1 . The theor...

    Text Solution

    |

  19. Consider the function f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):} ...

    Text Solution

    |

  20. Let f(x)a n dg(x) be differentiable for 0lt=xlt=1, such that f(0),g(0)...

    Text Solution

    |