Home
Class 12
MATHS
If the normal at (1,2) on the parabola y...

If the normal at (1,2) on the parabola `y^(2)=4x` meets the parabola again at the point `(t^(2),2t)` then the value of t is

A

1

B

3

C

-3

D

1

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 to the parabola y^(2)=4x at P(1,2) meets the parabola again in Q then Q=

The normal at a point (bt_1^(2) , 2bt_1) on a parabola meets the parabola again in the point (bt_2^(2) , 2bt_2) then

If the normal at t_(1) on the parabola y^(2)=4ax meet it again at t_(2) on the curve then t_(1)(t_(1)+t_(2))+2 =

The polar of (-2,3) w.r.t the parabola y^(2)=4x is

The polar of (a,0) w.r.t the parabola y^(2)=4ax is

If the normal to y^(2) =4ax at t_1 cuts the parabola again at t_2 then

The normal at a point t_1 on y^2 = 4ax meets the parabola again in the point t_2 . Then prove that t_1 t_2 + t_1^2 + 2=0

DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

    Text Solution

    |

  2. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

    Text Solution

    |

  3. If the normal at (1,2) on the parabola y^(2)=4x meets the parabola aga...

    Text Solution

    |

  4. If the normal to the parabola y^(2)=4x at P(1,2) meets the parabola a...

    Text Solution

    |

  5. If the normals at the point t(1) and t(2) on y^(2)=4ax intersect at t...

    Text Solution

    |

  6. The number of normals drawn to the parabola y^(2)=4x from the point (...

    Text Solution

    |

  7. The number of normals that can be drawn through (-1,4) to the parabola...

    Text Solution

    |

  8. From a point (C, 0) three normals are drawn to the parabola y^(2) = x....

    Text Solution

    |

  9. If the tangents and normals at the extremities of a focal chord of a p...

    Text Solution

    |

  10. The normals at three points P,Q,R of the parabola y^(2)=4ax meet in (...

    Text Solution

    |

  11. The ordinate of the centroid of the triangle formed by conormal points...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |