Home
Class 12
MATHS
If x+y+1=0 touches the parabola y^(2)=la...

If `x+y+1=0` touches the parabola `y^(2)=lambda x` then `lambda=`

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos

Similar Questions

Explore conceptually related problems

If 2 x+y+lambda=0 is a normal to the parabola y^(2)=8 x, then lambda=

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

If the line y=2x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then lambda =

The line x+y=k touches the parabola y=x-x^(2) if k=

The line 4 x+6 y+9=0 touches the parabola y^(2)=4 x at the point

If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is

The circle x^(2)+y^(2)+2kx=0 k in R touches the parabola y^(2)=4x externally then

If 2 x+y+a=0 is a focal chord of the parabola y^(2)+8 x=0 then a=

If 2 y+x+3=0 touches the circle 5 x^(2)+5 y^(2)=k then k=

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. A tangent is drawn to the parabola y=x^(2)+6 at the point (1,7) whi...

    Text Solution

    |

  2. The equation of the common tangents other than the x -axis to the para...

    Text Solution

    |

  3. If x+y+1=0 touches the parabola y^(2)=lambda x then lambda=

    Text Solution

    |

  4. The equation of the chord of parabola y^(2)=8 x which is bisected at t...

    Text Solution

    |

  5. The focus of the parabola y^(2)-x-2 y+2=0 is

    Text Solution

    |

  6. If a focal chord of the parabola y^(2)=a x is 2 x-y-8=0 then the equat...

    Text Solution

    |

  7. The line x+y=1 is a tangent to the parabola y^(2)-y+x=0, at

    Text Solution

    |

  8. The equation of the directrix of the parabola (x-1)^(2)=2(y-2) is

    Text Solution

    |

  9. The equation of the parabola with focus (0,3) and the directrix y+3=0 ...

    Text Solution

    |

  10. The vertex of the parabola y^(2)=4(a^(prime)-a)(x-a) is

    Text Solution

    |

  11. If the parabola y^(2)-4ax passes through the point (3,2) then the len...

    Text Solution

    |

  12. The equation of the normal to the parabola y^(2)=8 x having slope 1 is

    Text Solution

    |

  13. The point on the parabola y^(2)=4 x, the normal makes equal angles wit...

    Text Solution

    |

  14. The vertex of the parabola x^(2)+2 y=8 x-7 is

    Text Solution

    |

  15. The tangents drawn from the ends of latus rectum of y^(2)=12 x meets a...

    Text Solution

    |

  16. The tangent drawn at any point P to the parabola y^(2)=4 a x meets the...

    Text Solution

    |

  17. A tangent to the parabola y^(2)=a x makes an angle 45^(circ) with the ...

    Text Solution

    |

  18. The locus of the points which are equidistant from (-a, 0) and x=a

    Text Solution

    |

  19. The vertex of the parabola y^(2)=4 a(x+a) is

    Text Solution

    |

  20. If m(1) and m(2) are slopes of the two tangents that are drawn from (2...

    Text Solution

    |