Home
Class 12
MATHS
The normal drawn at a point (a t1^2,-2a ...

The normal drawn at a point `(a t_1^2,-2a t_1)` of the parabola `y^2=4a x` meets it again in the point `(a t_2^2,2a t_2),` then `t_2=t_1+2/(t_1)` (b) `t_2=t_1-2/(t_1)` `t_2=-t_1+2/(t_1)` (d) `t_2=-t_1-2/(t_1)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 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 normals drawn at the points t_(1) and t_(2) on the parabola meet the parabola again at its point t_(3) , then t_(1)t_(2) equals.

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

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

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 = ?

If the chord joining the points t_1 and t_2 on the parabola y^2 = 4ax subtends a right angle at its vertex then t_1t_2=

If the normal to the parabola y^2=4a x at point t_1 cuts the parabola again at point t_2 , then prove that (t_2)^2geq8.

If the normal to the parabola y^2=4a x at point t_1 cuts the parabola again at point t_2 , then prove that t2 2geq8.

The normal to the rectangular hyperbola xy = 4 at the point t_1 meets the curve again at the point t_2 Then

If the normals at points t_1 and t_2 meet on the parabola, then (a) t_1t_2=1 (b) t_2=-t_1-2/(t_1) (c) t_1t_2=2 (d) none of these

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The algebraic sum of deviations of 10 observations measured from 16 is...

    Text Solution

    |

  2. 'A' writes a letter to his friend 'B' and gives it to his son to post ...

    Text Solution

    |

  3. The normal drawn at a point (a t1^2,-2a t1) of the parabola y^2=4a x m...

    Text Solution

    |

  4. 4 people are selected randomly out of six married couple. Find the ...

    Text Solution

    |

  5. The number of parabolas that can be drawn , if two ends of the latus ...

    Text Solution

    |

  6. A class contains 4 boys and g girls. Every Sunday five students, inclu...

    Text Solution

    |

  7. Find the equation of the line passing through the point (2,3) and maki...

    Text Solution

    |

  8. Write of the following statements are true and which false? {a , b}sub...

    Text Solution

    |

  9. Circles with centres P,Q& S are touching each other externally as show...

    Text Solution

    |

  10. Write of the following sets in the set builder form: {B ,E ,N ,G ,I}

    Text Solution

    |

  11. Write of the following sets in the set builder form: {14 , 21 , 28 , 3...

    Text Solution

    |

  12. Write of the following sets in the set builder form: {1,7, 49 , 343}

    Text Solution

    |

  13. Write of the following sets in the set builder form: {0,5, 10 , 15 }

    Text Solution

    |

  14. Are the following of sets equal ? (i) {x:x is a letter in the word '...

    Text Solution

    |

  15. Are the following pairs of sets equal? Give reason. A={1,2,3},\ B{x ; ...

    Text Solution

    |

  16. Write of the following sets in the set builder form: {1,0}

    Text Solution

    |

  17. Write the following sets in set-builder form (i) C={1,-1,i,-i}

    Text Solution

    |

  18. Using properties of sets, show that for any two sets Aa n dB ,(AuuB)nn...

    Text Solution

    |

  19. Are the following pairs of sets equal? A={1,2,3,4},B={x : x is a digit...

    Text Solution

    |

  20. Are the following pairs of sets equal? A={2,3,5},B={x : x is a positiv...

    Text Solution

    |