Home
Class 12
MATHS
The line x+y=k touches the parabola y=x-...

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

A

0

B

-1

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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 4 x+6 y+9=0 touches the parabola y^(2)=4 x at the point

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

The line 5 x+12 y=9 touch the hyperbola x^(2)-9 y^(2)=9 at

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

The st. line y = 4x + c touches the hyperbola x^2-y^2=1 if .

The line among the following, that touches the parabola y^(2)=4 a x is

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

If the straight line 3x + 4y = k touches the circle x^(2) + y^(2) = 16 x , then the values of k are

If the line y=3 x+lambda touches the hyperbola 9 x^(2)-5 y^(2)=45, then a value of lambda is

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. Equation of the normal to the parabola y^(2)=4 x which is perpendicula...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The line y=2 x-12 is a normal to y^(2)=4 x at the point

    Text Solution

    |

  5. Focus of the parabola y^(2)=16 x is at

    Text Solution

    |

  6. The point of intersection of the tangents at the ends of the laturs re...

    Text Solution

    |

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

    Text Solution

    |

  8. If (x(1), y(1)) and (x(2), y(2)) are the ends of the focal chord of y^...

    Text Solution

    |

  9. The point on the parabola y^(2)=8 x whose distance from the focus is 8...

    Text Solution

    |

  10. The co - ordinates of a point on the parabola y^(2) =8x whose focal d...

    Text Solution

    |

  11. The number of tangents that can be drawn from (3,2) to the parabola y^...

    Text Solution

    |

  12. The product of the abscissae of the extremities of a focal chord of a ...

    Text Solution

    |

  13. The equation of the common tangent to the parabolas y^(2)=4 x and x^(2...

    Text Solution

    |

  14. Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4 ...

    Text Solution

    |

  15. The angle between the two tangents drawn from the point (1,4) to the p...

    Text Solution

    |

  16. The vertex of the parabola is (4,0) and the y -axis is the directrix. ...

    Text Solution

    |

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

    Text Solution

    |

  18. If y=m x+4 is a tangent to y^(2)=6 x, then m=

    Text Solution

    |

  19. If y(1) and y(2) are the ordinates of two points P and Q on the parabo...

    Text Solution

    |

  20. If (0,4) and (0,2) are respectively the vertex and focus of a parabola...

    Text Solution

    |