Home
Class 12
MATHS
The line x+y=1 is a tangent to the parab...

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

A

`((3)/(2),-(1)/(2))`

B

`(0,1)`

C

`(1,0)`

D

`(-(1)/(2), (3)/(2))`

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

The line 2 x-3 y+5=0 is a tangent to the parabola y^(2)=4 a x, then a=

The line x-2 y+4 a=0 is a tangent to the parabola y^(2)=4 a x at

The line y=m x+2 is a tangent to the parabola y^(2)=4 x, then m=

If the line y=m x+c is a tangent to the parabola y^(2)=4 a(x+a) , then c=

If the line 2x-3y+6=0 is a tangent to the parabola y^(2)=4ax then a is

The line y=2x+c is a tangent to the parabola y^(2)=4x if c is equal to

The line 3 x+4 y+5=0 is a tangent to the hyperbola x^(2)-4 y^(2)=5 at

If y=2 x+c is a tangent to the parabola y^(2)=16 x then c=

The line y = x + 1 is a tangent to the curve y^(2) = 4x at the poin

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The focal distance of the point (other than the origin) on the parabol...

    Text Solution

    |

  2. If the line y=m x+c is a tangent to the parabola y^(2)=4 a(x+a), then ...

    Text Solution

    |

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

    Text Solution

    |

  4. The point on the parabola y^(2)=8 x where the normal is inclined at 30...

    Text Solution

    |

  5. t(1) and t(2) are the parameters of the end-points f a focal chord of ...

    Text Solution

    |

  6. The latus rectum of the parabola y^(2)=5x+4y+1 is

    Text Solution

    |

  7. The point on the parabola y^(2)=16 x where the tangent makes an angle ...

    Text Solution

    |

  8. The point of intersection of the tangents at the ends of the latus rec...

    Text Solution

    |

  9. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

    Text Solution

    |

  10. The equation of common tangents to the parabola y^(2)=8 x and hyperbol...

    Text Solution

    |

  11. The common tangent to the parabolas y^(2)=8 x and x^(2)=8 y is

    Text Solution

    |

  12. The equation of the common tangent to the curves y^2=8x and xy =-1 is ...

    Text Solution

    |

  13. The locus of the midpoints of the chords which are drawn from the vert...

    Text Solution

    |

  14. The line x-2 y+4 a=0 is a tangent to the parabola y^(2)=4 a x at

    Text Solution

    |

  15. The line y=m x+2 is a tangent to the parabola y^(2)=4 x, then m=

    Text Solution

    |

  16. The equation of the common tangent to y^(2)=2 x and x^(2)=16 y is

    Text Solution

    |

  17. The axis of the parabola 9 y^(2)-16 x-12 y-57=0 is

    Text Solution

    |

  18. t(1) and t(2) are the parameters of the end-points f a focal chord of ...

    Text Solution

    |

  19. The length of the perpendicular from the focus of the parabola y^(2)=8...

    Text Solution

    |

  20. Two tangents are drawn from the point (h, k) to the parabola y^(2)=4 x...

    Text Solution

    |