Home
Class 12
MATHS
Let P(1) : y^(2) = 4ax and P(2) : y^(2) ...

Let `P_(1) : y^(2) = 4ax` and `P_(2) : y^(2) =-4ax` be two parabolas and L : y = x be a straight line.
Equation of the tangent at the point on the parabola `P_(1)` where the line L meets the parabola is

A

`x - 2y + 4a = 0`

B

`x + 2y - 4a = 0`

C

`x + 2y - 8a = 0`

D

`x - 2y + 8a = 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -E ( Assertion-Reason Type Questions )|18 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -F ( Matrix-Match Type Questions )|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Let P_(1) : y^(2) = 4ax and P_(2) : y^(2) =-4ax be two parabolas and L : y = x be a straight line. if a = 4, then the equation of the ellipse having the line segment joining the foci of the parabolas P_(1) and P_(2) as the major axis and eccentricity equal to (1)/(2) is

Let P_(1) : y^(2) = 4ax and P_(2) : y^(2) =-4ax be two parabolas and L : y = x be a straight line. The co-ordinates of the other extremity of a focal chord of the parabola P_(2) one of whose extermity is the point of intersection of L and P_(2) is

Equation of tangent to parabola y^(2)=4ax

The tangent to the parabola y^(2)=4(x-1) at (5,4) meets the line x+y=3 at the point

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

If the line px+qy=1 is a tangent to the parabola y^(2)=4ax. then

AAKASH INSTITUTE-CONIC SECTIONS-SECTION -D
  1. Show that equation x^2+y^2-2ay-8=0 represents, for different values o...

    Text Solution

    |

  2. C : x^(2) + y^(2) - 2x -2ay - 8 = 0, a is a variable If the chord ...

    Text Solution

    |

  3. Let C : x^(2) -3, D : y = kx^(2) be two parabolas and L(1) : x a , L...

    Text Solution

    |

  4. Let C : x^(2) -3, D : y = kx^(2) be two parabolas and L(1) : x a , L...

    Text Solution

    |

  5. Let C : x^(2) -3, D : y = kx^(2) be two parabolas and L(1) : x a , L...

    Text Solution

    |

  6. Let P(1) : y^(2) = 4ax and P(2) : y^(2) =-4ax be two parabolas and L :...

    Text Solution

    |

  7. Let P(1) : y^(2) = 4ax and P(2) : y^(2) =-4ax be two parabolas and L :...

    Text Solution

    |

  8. Let P(1) : y^(2) = 4ax and P(2) : y^(2) =-4ax be two parabolas and L :...

    Text Solution

    |

  9. Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (x^(2))/(4) =1 and L : y...

    Text Solution

    |

  10. Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (x^(2))/(4) =1 and L : y...

    Text Solution

    |

  11. Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (x^(2))/(4) =1 and L : y...

    Text Solution

    |

  12. An ellipse has its centre C(1,3) focus at S( 6, 3) and passing through...

    Text Solution

    |

  13. An ellipse has its centre C(1,3) focus at S( 6, 3) and passing through...

    Text Solution

    |

  14. An ellipse has its centre C(1,3) focus at S( 6, 3) and passing through...

    Text Solution

    |

  15. Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three cu...

    Text Solution

    |

  16. Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three cu...

    Text Solution

    |

  17. Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three cu...

    Text Solution

    |

  18. Rectangular hyperbola is the hyperbola whose asymptotes are perpendicu...

    Text Solution

    |

  19. Rectangular hyperbola is the hyperbola whose asymptotes are perpendicu...

    Text Solution

    |

  20. Rectangular hyperbola is the hyperbola whose asymptotes are perpendicu...

    Text Solution

    |