Home
Class 12
MATHS
f the normal at the point P (at1, 2at1) ...

f the normal at the point `P (at_1, 2at_1)` meets the parabola `y^2=4ax` aguin at `(at_2, 2at_2),` then

A

a)`t_1=-t_2-2/t_2`

B

b)`(t_1+t_2)/2=1/t_1`

C

c)`t_2=-t_1-2/t_1`

D

d)`(t_1+t_2)/2=1/t_2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Parabola

    A DAS GUPTA|Exercise EXERCISE|51 Videos

  • Pair of Straight Lines and Transformation of Axes

    A DAS GUPTA|Exercise EXERCISE|22 Videos

  • Product of three or more Vectors

    A DAS GUPTA|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

Show that the normal at a point (at^2_1, 2at_1) on the parabola y^2 = 4ax cuts the curve again at the point whose parameter t_2 = -t_1 - 2/t_1 .

" If the normal at the point " t_(1)(at_(1)^(2),2at_(1)) " on " y^(2)=4ax " meets the parabola again at the point " t_(2) " ,then " t_(1)t_(2) =

If the normal to the parabola y^(2)=4ax at the point (at^(2),2at) cuts the parabola again at (aT^(2),2aT) then

The normal drawn at a point (at_(1)^(2), 2at_(1)) of the parabola y^(2)=4ax meets on the point (ar_(2)^(2), 2at_(2)) then

A DAS GUPTA-Parabola-EXERCISE
  1. If the focus =(2,3)and directrix is x+y=1 then the equation of the par...

    Text Solution

    |

  2. The line x+y+1=0touches the parabola y^2=kx if k=.

    Text Solution

    |

  3. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

  4. Write the length of het chord of the parabola y^2=4a x which passes th...

    Text Solution

    |

  5. Find the condition that the line x cosalpha + y sin alpha=p touches th...

    Text Solution

    |

  6. The point of intersection of the tangents at the ends of the latus ...

    Text Solution

    |

  7. Find the angle between the tangents drawn from (1, 3) to the parabola ...

    Text Solution

    |

  8. Find the equation of the circle described on the line segment joining ...

    Text Solution

    |

  9. A double ordinate of the parabola y^2 = 8px is of length 16p. The angl...

    Text Solution

    |

  10. The equation of parabola whose vertex and focus lie on the axis of x a...

    Text Solution

    |

  11. f the normal at the point P (at1, 2at1) meets the parabola y^2=4ax agu...

    Text Solution

    |

  12. If the tangents to the parabola y^2=4axat the points (x1,y1)and ((x2,y...

    Text Solution

    |

  13. Find the condition that the line x cosalpha + y sin alpha=p touches th...

    Text Solution

    |

  14. The angle between the tangents drawn from the origin to the parabola y...

    Text Solution

    |

  15. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  16. If't1'and't2'be the ends of a focal chord of the parabola y^2=4ax then...

    Text Solution

    |

  17. The general equation to a system of parallel chords of the parabola y^...

    Text Solution

    |

  18. P is a point on the parabola y^2= 4ax and PQ is its focal chord. If PT...

    Text Solution

    |

  19. The radius of the circle whose centre is (-4,0) and which cuts the par...

    Text Solution

    |

  20. Let C1 and C2 be parabolas x^2 = y - 1 and y^2 = x-1 respectively. Let...

    Text Solution

    |