Home
Class 12
MATHS
The line y+x=k is tangent to the parabol...

The line y+x=k is tangent to the parabola `y^2+12x=0` if k=______.

A

(-3)

B

3

C

6

D

(-6)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|76 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

Similar Questions

Explore conceptually related problems

The line y=3x-k is a tangent to the hyperbola 6x^2-9y^2=1 if k=_____.

The line y=3 is a tangent to the parabola (x+2)^2=6(y-3) .

The line y=2x+k is a tangent to the ellipse 5x^2+y^2=5 if k =_____.

Prove that for all values of k the line y=k(x+a)+a/k is a tangent to the parabola y^2,=4a(x+a).

The equation of tangent to the parabola x^2=6y at vertex is ______.

The line y=x+2 is a tangent to the ellipse x^2/2+y^2/1=1

If the line 4y - 3x = k is a tangent to the circle x^2+y^2+10x-6y+9=0 find 'k'. Also find the co-ordinates of the point of contact.

Fill in the blanks by choosing the correct answer from the given alternatives : The line y = x + k touches the circle x^2 + y^2 = 16 if k = ______.

prove that the line 2x + y = 1 is a tangent to the circle x^2+y^2+6x-4y+8=0 .

State (with reasons), which of the following are true or false : The line y = 0 is a tangent to the circle (x + 1)^2 + (y - 2)^2 = 1 .

MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. The equation of the directrix to the parabola x^2=-6yis .

    Text Solution

    |

  2. The eccentricity of the parabola y^2=8xis .

    Text Solution

    |

  3. The line y+x=k is tangent to the parabola y^2+12x=0 if k=.

    Text Solution

    |

  4. The latus rectum of the parabola (y-2)^2=8(x+3) is .

    Text Solution

    |

  5. The equation of tangent to the parabola x^2=6y at vertex is .

    Text Solution

    |

  6. The equation of axis of the ellipse x^2/16+y^2/9=1 is .

    Text Solution

    |

  7. The equation of the major axis of ellipse (x+1)^2/16+(y-2)^2/9=1 is .

    Text Solution

    |

  8. The distance between the focii of the ellipse 3x^2+4y^2=1 is .

    Text Solution

    |

  9. The ecentricity of the ellipse x^2/16+y^2/25=1 is .

    Text Solution

    |

  10. The line y=2x+k is a tangent to the ellipse 5x^2+y^2=5 if k =.

    Text Solution

    |

  11. The length of the latus rectum of the ellipse (x-2)^2/4+(y+3)^2/25=1 i...

    Text Solution

    |

  12. The equation of the conjugate axis of the hyperbola x^2/9-(y+2)^2/16=1...

    Text Solution

    |

  13. The hyperbola y^2/16-x^2/12=1 intersects x-axis at .

    Text Solution

    |

  14. The eccentricity of the parabola 4x^2-3y^2=1 is .

    Text Solution

    |

  15. The latus rectum of the hyperbola x^2/9-y^2/16=1 is .

    Text Solution

    |

  16. The line y=3x-k is a tangent to the hyperbola 6x^2-9y^2=1 if k=.

    Text Solution

    |

  17. The equation y=x^2+2x+3 represent a parabola with its axis parallel to...

    Text Solution

    |

  18. The latus rectum of the parabola y^2=-8x is 2.

    Text Solution

    |

  19. The eccentricity of the parabola (y-1)^2=2(x+3)^2 is 1/3.

    Text Solution

    |

  20. The line y=3 is a tangent to the parabola (x+2)^2=6(y-3).

    Text Solution

    |