Home
Class 12
MATHS
The circle x^(2)+y^(2)+2kx=0 k in R tou...

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

A

`klt0`

B

`k gt0`

C

`k lt 1`

D

`kgt1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|5 Videos

  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos

  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos

  • MOCK TEST PAPER -IV

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos

Similar Questions

Explore conceptually related problems

The circle x^(2) + y^(2)- 8x + 4y + 4=0 touches

If the polar of the circle x^(2)+y^(2)=9 is always touching the parabola y^(2)=8x then the locus of the pole is

The circle x^2+y^2+4lamdax=0 which lamda in R touches the parabola y^2=8x . The value of lamda is given by

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

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

If is the acute angle of intersection at a real point of intersection of the circle x^(2) + y^(2) = 5 and the parabola y^(2)= 4x then tan is equal to...

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

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

Chords of the hyperbola x^(2)-y^(2)=a^(2) touch the parabola y^(2)=4ax . Prove that the locus of their middle-points is the curve y^(2)(x-a)=x^(3) .

MODERN PUBLICATION-PARABOLA -MULTIPLE CHOICE QUESTION (LEVEL II)
  1. A double ordinate of the parabola y^(2)=8ax of length 16a the angle s...

    Text Solution

    |

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

    Text Solution

    |

  3. The circle x^(2)+y^(2)+2kx=0 k in R touches the parabola y^(2)=4x ext...

    Text Solution

    |

  4. If the polar of the circle x^(2)+y^(2)=9 is always touching the para...

    Text Solution

    |

  5. Angle substended by the latus rectum at the origin is

    Text Solution

    |

  6. A ray of light moving parallel to x axis gets reflected from a parab...

    Text Solution

    |

  7. Range of values of k for which the point (k-1) is exteriro to both ...

    Text Solution

    |

  8. If PQ is a focal chord of the parbola y^(2)=4ax with focus at s th...

    Text Solution

    |

  9. The point (a,2a) is an interior point of the region bounded by the ...

    Text Solution

    |

  10. Locus of the middle points of parallel chords of a parabola x^(2)=4a...

    Text Solution

    |

  11. The tangent to a parabola at the vertex A and any point P meet at Q ...

    Text Solution

    |

  12. The tangents at three points A,B,C on the parabola y^(2)=4x taken in ...

    Text Solution

    |

  13. AB is a chord of a parabola y^(2)=4ax with the end A at the vertex ...

    Text Solution

    |

  14. The point of intersection of the tangents to the parabla y^(2)=4x at ...

    Text Solution

    |

  15. If the tangents at (x(1),y(1)) and (x(2),y(2)) to the parabola y^(2)=4...

    Text Solution

    |

  16. If b and c are the length of the segments of any focal chord of a para...

    Text Solution

    |

  17. If the focus of a parabola divides a focal chord of the parabola in s...

    Text Solution

    |

  18. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

    Text Solution

    |

  19. The locus of the mid point of the line segment joining the focus to a...

    Text Solution

    |

  20. A tangent is drawn to the parabola y=x^(2)+6 at the point (1,7) whi...

    Text Solution

    |