Home
Class 12
MATHS
The circle x^(2)+y^(2)+2lamdax=0,lamdain...

The circle `x^(2)+y^(2)+2lamdax=0,lamdainR`, touches the parabola `y^(2)=4x` externally. Then,

A

`pgt0`

B

`plt0`

C

`pgt1`

D

`pgt2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|24 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The circle x^(2)+y^(2)+2 lambda x=0,lambda in R, touches the parabola y^(2)=4x externally.Then,lambda>0 (b) lambda 1(d) none of these

If the circle x^(2)+y^(2)+2ax=0, a in R touches the parabola y^(2)=4x , them

The given circle x^(2)+y^(2)+2px=0 , p in R touches the parabola y^(2)=-4x externally then p =

If the circle x^(2)+y^(2)+8x-4y+c=0 touches the circle x^(2)+y^(2)+2x+4y-11=0 externally and cuts the circle x^(2)+y^(2)-6x+8y+k=0 orthogonally then k

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

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

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

ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. Let A and B be two points on a parabola y^2 = x with vertex V such th...

    Text Solution

    |

  2. The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^...

    Text Solution

    |

  3. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

    Text Solution

    |

  4. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

    Text Solution

    |

  5. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

    Text Solution

    |

  6. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

    Text Solution

    |

  7. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

  8. If the normals at P, Q, R of the parabola y^2=4ax meet in O and S be...

    Text Solution

    |

  9. Length of the shortest normal chord of the parabola y^2=4ax is

    Text Solution

    |

  10. The largest value of a for which the circle x^2 +y^2 = a^2 falls total...

    Text Solution

    |

  11. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  12. If two different tangents of y^2=4x are the normals to x^2=4b y , then

    Text Solution

    |

  13. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  14. Normals at two points (x1,x2) and (x2,y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  15. A line is drawn from A(-2,0) to intersect the curve y^2 = 4x in P and ...

    Text Solution

    |

  16. An equilateral triangle SAB in inscribed in the parabola y^2 = 4ax hav...

    Text Solution

    |

  17. C is the centre of the circle with centre (0,1) and radius unity. y=ax...

    Text Solution

    |

  18. Let S be the focus of y^2=4x and a point P be moving on the curve such...

    Text Solution

    |

  19. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

    Text Solution

    |

  20. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

    Text Solution

    |