Home
Class 12
MATHS
The line 12x costheta + 5y sin theta = 6...

The line `12x costheta + 5y sin theta = 60` is tangent to which of the following curves ?

A

`144x^(2)+25y^(2)=3600`

B

`25x^(2)+12y^(2)=3600`

C

`x^(2)+y^(2)=60`

D

`x^(2)+y^(2)=169`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

The centroid of a triangle formed by the points (0,0), (costheta , sin theta) and (sin theta , -cos theta) lie on the line y = 2x , then theta is

Find the equations of the tangent and normal lines to the following curves : y=sin^(2)x" at "x=(pi)/(2).

For the curve x = 3cos theta, y=3 sin theta, 0le theta le pi, the tangent is parallel to the x-axis, where theta =

For the curve x=a cos^(3) theta, y= a sin^(3) theta, the sum of the squares of the intercepts made by any tangent on the co-ordinate axes is

If x sin theta+y cos theta=sin theta cos theta and x sin theta=y cos theta.'C' is the curve by eliminating theta, then area of a triangle form by chord of contact and pair of tangent from by (3,1) to the curve 'C' is

x=3costheta-2cos^(3)theta, y = 3 sin theta- 2 sin^(3) theta

Evaluate the following: |costheta, -sin theta],[sin theta, cos theta]|

JEE MAINS PREVIOUS YEAR-APPLICATION OF DERIVATIVES-All Questions
  1. The line 12x costheta + 5y sin theta = 60 is tangent to which of the f...

    Text Solution

    |

  2. If p and q are positive real numbers such that p^2+""q^2=""1 , t...

    Text Solution

    |

  3. A value of C for which the conclusion of Mean Value Theorem holds f...

    Text Solution

    |

  4. The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...

    Text Solution

    |

  5. How many real solutions does the equation x^7+""14 x^5+""16 x^3+""3...

    Text Solution

    |

  6. Suppose the cube x^3""p x""+""q has three distinct real roots wh...

    Text Solution

    |

  7. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

    Text Solution

    |

  8. The shortest distance between the line yx=1 and the curve x=y^2 is ...

    Text Solution

    |

  9. Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...

    Text Solution

    |

  10. Let f:""RrarrR be defined by f(x)={(k-2x , if xle-1),( 2x+3, if x gt...

    Text Solution

    |

  11. The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...

    Text Solution

    |

  12. The shortest distance between line y"-"x""=""1 and curve x""=""y^2 is ...

    Text Solution

    |

  13. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  14. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

    Text Solution

    |

  15. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  16. A bird is sitting on the top of a vertical pole 20 m high and its e...

    Text Solution

    |

  17. The normal to the curve, x^2+""2x y-3y^2=""0,""a t""(1,""1) : (1) ...

    Text Solution

    |

  18. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

    Text Solution

    |

  19. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  20. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  21. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |