Home
Class 11
MATHS
Find the equations of the tangents of th...

Find the equations of the tangents of the parabola `y^(2)=12x`, which passes through the point (2,5).

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of tangents of the parabola y^2=12 x , which passes through the point (2, 5).

Find the equation of the tangent to the parabola 9x^2+12 x+18 y-14=0 which passes through the point (0, 1).

Find the equation of tangent to the hyperbola y=(x+9)/(x+5) which passes through (0, 0) origin

Find the equation of the tangent to the parabola x=y^2+3y+2 having slope 1.

Find the equation of the normal to the curve x^(2)=4y, which passes through the point (1,2).

Find the equation of the normal to the curve x^(2) = 4y which passes through the point (1, 2).

Find the equation of the tangents to the parabola 3y^(2)=8x , parallel to the line x-3y=0 .

Find the equation of the tangent to the parabola y=x^2-2x+3 at point (2, 3).

Find the equations of the tangent and normal to the parabola y^(2) = 4ax at the point (at^(2) , 2at).

Find the equation of the tangent to the parabola y^(2)=8x at the point (2t^(2),4t) . Hence find the equation of the tangnet to this parabola, perpendicular to x+2y+7=0

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the length of focal PQ is 'l', and 'p' is the perpendicular distan...

    Text Solution

    |

  2. Find the equation of the tangent to the parabola y^(2)=8x having slope...

    Text Solution

    |

  3. Find the equations of the tangents of the parabola y^(2)=12x, which pa...

    Text Solution

    |

  4. If line y=3x+c touches the parabola y^(2)=12 at point P, then find the...

    Text Solution

    |

  5. Find the equation of the tangent to the parabola y=x^(2)-2x+3 at point...

    Text Solution

    |

  6. Find the equation of the tangent to the parabola x=y^(2)+3y+2 having s...

    Text Solution

    |

  7. Find the equation of tangents drawn to the parabola y=x^(2)-3x+2 from ...

    Text Solution

    |

  8. If a tangent to the parabola y^(2)=4ax meets the x-axis at T and inter...

    Text Solution

    |

  9. The parabola y^2=4x and the circle having its center at (6, 5) interse...

    Text Solution

    |

  10. The tangents to the parabola y^(2)=4ax at the vertex V and any point P...

    Text Solution

    |

  11. Show that xcosalpha+ysinalpha=p touches the parabola y^2=4a x if pcosa...

    Text Solution

    |

  12. A tangent to the parabola y^(2)=8x makes an angle of 45^(@) with the s...

    Text Solution

    |

  13. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

    Text Solution

    |

  14. If the lines L(1)andL(2) are tangents to 4x^(2)-4x-24y+49=0 and are no...

    Text Solution

    |

  15. Find the shortest distance between the line y=x-2 and the parabola y=x...

    Text Solution

    |

  16. If two tangents drawn from the point (alpha,beta) to the parabola y^(2...

    Text Solution

    |

  17. Find dy/dx , tan^(-1){(cosx - sinx)/(cosx + sinx)} .

    Text Solution

    |

  18. Find the angle at which normal at point P(at^(2),2at) to the parabola ...

    Text Solution

    |

  19. If tangents are drawn to y^(2)=4aax from any point P on the parabola y...

    Text Solution

    |

  20. Find the equation of a parabola having its focus at S(2,0) and one ext...

    Text Solution

    |