Home
Class 12
MATHS
If theta is the angle between the curves...

If `theta` is the angle between the curves xy = 2 and `x^(2)+4y = 0` then `tan theta = `

A

1

B

(-1)

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

The angle between the curves xy = 2 and y^(2) = 4x at their point of intersection is

The angle between the curves xy = 2 and y^2 = 4x at their point of intersection is

The angle between the lines x^(2) + 4xy + y^(2) = 0 is

The angle between the curves x^(2) = 4y, y^(2) = 4x at (4,4) is

The curve x = y^(2) and xy = k cut at right angles if

Find the slope of the normal to the curve x = a cos^(3)theta, y = a sin^(3) theta at theta = (pi)/3 .

If the angle 2 theta is acute, then the acute angle between the pair of lines x^(2)(cos theta-sin theta)+2 x y cos theta+y^(2)(cos theta+sin theta)=0 is

Find the slope of the normal to the curve x = 1 - a sin theta, y = b cos^(2) theta at theta = (pi)/2 .

The equation x^(2)-3 x y+lambda y^(2)+3 x-5 y+2=0 , whose lambda is a real number, represents a pair of lines. If theta is the angle between the lines then operatorname(cosec)^(2) theta=

Find the slope of the normal to the curve x=1 -a sin theta , y = b cos^(2) theta at theta= (pi)/(2) .

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The line 2x+sqrt(6)y=2 is a tangent to the curve x^(2)-2y^(2)=4. The p...

    Text Solution

    |

  2. The angle between the curves y = sinx and y = cos x is

    Text Solution

    |

  3. If theta is the angle between the curves xy = 2 and x^(2)+4y = 0 then ...

    Text Solution

    |

  4. The angle between the curves x^(2) = 4y, y^(2) = 4x at (4,4) is

    Text Solution

    |

  5. The curves x = y^(2) and xy = a^(3) cut orthogonally at a point, then ...

    Text Solution

    |

  6. The equation of the tangent to the curve y = x^(3)-2x+1 at the point (...

    Text Solution

    |

  7. The equation of the tangent to the curve 6y=7-x^(3) at (1,1) is

    Text Solution

    |

  8. The slope of the nomal to the curve x = a(theta - sin theta), y = a(1-...

    Text Solution

    |

  9. Area of the triangle formed by the normal to the curve x = e^(sin y) a...

    Text Solution

    |

  10. If the rate of decrease of x^(2)/2-2x+5 is twice the rate of decrease ...

    Text Solution

    |

  11. For a particle moving on a straight line it is observed that the dista...

    Text Solution

    |

  12. A cylindrical vessel of radius 0.5 mts is filled with oil at the rate ...

    Text Solution

    |

  13. The distance moved by the particle in time t is given by x=t^(3)-12t^(...

    Text Solution

    |

  14. Gas is being pumped into a spherical balloon at the rate of 30 (ft)^(3...

    Text Solution

    |

  15. A point is moving on y=4-2x^(2). The x coordiante of the point is decr...

    Text Solution

    |

  16. The particle moves along the curve y=x^(2)+2x Then the point on the cu...

    Text Solution

    |

  17. A stone thrown upwards, has its equation of motion s=490 t-(4.9)t^(2)....

    Text Solution

    |

  18. The radius of a circular plate is increasing at the rate of 0.01cm/sec...

    Text Solution

    |

  19. A particle moves along a straight line such that its displacement at a...

    Text Solution

    |

  20. A stone thrown upwards, has its equation of motion s=490 t-(4.9)t^(2)....

    Text Solution

    |