Home
Class 12
MATHS
If a normal subtends a right angle at th...

If a normal subtends a right angle at the vertex of a parabola `y^(2)=4ax` then its length is

A

`sqrt(5)` a

B

`3sqrt(5)a`

C

`6sqrt(3)`a

D

`7sqrt(5)a`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|50 Videos

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS ) SET-1|4 Videos

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS ) SET-4|4 Videos

  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos

Similar Questions

Explore conceptually related problems

If the normal subtends a right angle at the focus of the parabola y^(2)=4ax then its length is

If the normal subtends a right angle at the focus of the parabola y^(2)=8x then its length is

If the chord y = mx +c subtends a right angle at the vertex of the parabola y^(2)=4ax then the value of c is

If the latus rectum through one focum subtends a right angle at the farther vertex of the hyperbola then its eccentricity is

If the latus rectum through one focus subtends a right angle at the farther vertex of the hyperbola then its eccntricity is

DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The ordinate of the centroid of the triangle formed by conormal points...

    Text Solution

    |

  2. The normals at two points P and Q of a parabola y^(2)=4ax meet at (x(1...

    Text Solution

    |

  3. If a normal subtends a right angle at the vertex of a parabola y^(2)=4...

    Text Solution

    |

  4. If alpha is the inclination of a tangent to the parabola y^(2)=4ax th...

    Text Solution

    |

  5. The length of the normal chord drawn at one end of the latus rectum of...

    Text Solution

    |

  6. The locus of apoint that divides chords of slope 2 of the parabola y^(...

    Text Solution

    |

  7. Let O be the vertex and Q be any point on the parabola ,x^(2) =8y . If...

    Text Solution

    |

  8. If a normal chord of a puint on the parabola y^(2) = 4ax, subtends a r...

    Text Solution

    |

  9. If a normal subtends a right angle at the vertex of a parabola y^(2)=4...

    Text Solution

    |

  10. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

    Text Solution

    |

  11. The circle passing through three conormal points also passes through

    Text Solution

    |

  12. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

    Text Solution

    |

  13. If the normals at two points on the parabola y^(2)=4ax intersect on t...

    Text Solution

    |

  14. If the normals at two points on the parabola intersects on the curve t...

    Text Solution

    |

  15. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  16. The three normals from a point to the parabola y^(2)=4ax cut the axes...

    Text Solution

    |

  17. If the normals from any point to the parabola x^(2)=4y cuts the line y...

    Text Solution

    |

  18. If a circle cuts the parabola y^(2)=4ax in four points then the algebr...

    Text Solution

    |

  19. The feet of the normals to y^(2)= 4ax from the point (6a,0) are

    Text Solution

    |

  20. If P(-3, 2) is one end of focal chord PQ of the parabola y^(2)+ 4x + 4...

    Text Solution

    |