Home
Class 12
MATHS
The circle x^2+y^2+2lambdax=0,lambda in ...

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

A

`lamdagt0`

B

`lamdalt0`

C

`lamdagt1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
(1) The graph shows `lamdagt0`.
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE|Exercise Exercise (Multiple)|26 Videos

  • PARABOLA

    CENGAGE|Exercise Exercise (Comprehension)|41 Videos

  • PARABOLA

    CENGAGE|Exercise Exercise 5.7|9 Videos

  • PAIR OF STRAIGHT LINES

    CENGAGE|Exercise Exercise (Numerical)|5 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE|Exercise Question Bank|4 Videos

Similar Questions

Explore conceptually related problems

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

The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

If the sum of the slopes of the normal from a point P to the hyperbola x y=c^2 is equal to lambda(lambda in R^+) , then the locus of point P is (a) x^2=lambdac^2 (b) y^2=lambdac^2 (c) x y=lambdac^2 (d) none of these

If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is 12 (b) -12 (c) 24 (d) -24

If y=2 is the directrix and (0,1) is the vertex of the parabola x^2+lambday+mu=0 , then (a) lambda=4 (b) mu=8 (c) lambda=-8 (d) mu=4

The number of integral values of lambda for which the equation x^2+y^2+lambdax+(1-lambda)y+5=0 is the equation fo a circle whose radius cannot exceed 5, is 14 (b) 18 (c) 16 (d) none of these

Portion of asymptote of hyperbola x^2/a^2-y^2/b^2 = 1 (between centre and the tangent at vertex) in the first quadrant is cut by the line y + lambda(x-a)=0 (lambda is a parameter) then (A) lambda in R (B) lambda in (0,oo) (C) lambda in (-oo,0) (D) lambda in R-{0}

The line x - b +lambda y = 0 cuts the parabola y^(2) = 4ax (a gt 0) at P(t_(1)) and Q(t_(2)) . If b in [2a, 4a] then range of t_(1)t_(2) where lambda in R is

The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. touch each other externally touch each other internally intersect at two points none of these

The circle x^2+y^2=5 meets the parabola y^2=4x at P and Q . Then the length P Q is equal to (A) 2 (B) 2sqrt(2) (C) 4 (D) none of these

CENGAGE-PARABOLA-Exercise (Single)
  1. min[(x1-x^2)^2+(3+sqrt(1-x1 2)-sqrt(4x2))],AAx1,x2 in R , is 4sqrt(5)...

    Text Solution

    |

  2. If the normals to the parabola y^2=4a x at three points (a p^2,2a p), ...

    Text Solution

    |

  3. Normals A O ,AA1a n dAA2 are drawn to the parabola y^2=8x from the poi...

    Text Solution

    |

  4. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

  5. From a point (sintheta,costheta), if three normals can be drawn tot he...

    Text Solution

    |

  6. If the normals at P(t(1))andQ(t(2)) on the parabola meet on the same p...

    Text Solution

    |

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

    Text Solution

    |

  8. PQ is a normal chord of the parabola y^2= 4ax at P,A being the vertex ...

    Text Solution

    |

  9. P, Q, and R are the feet of the normals drawn to a parabola (y−3)^2=8(...

    Text Solution

    |

  10. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  11. The endpoints of two normal chords of a parabola are concyclic. Then ...

    Text Solution

    |

  12. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

    Text Solution

    |

  13. The set of points on the axis of the parabola (x-1)^2=8(y+2) from wher...

    Text Solution

    |

  14. Tangent and normal are drawn at the point P-=(16 ,16) of the parabola ...

    Text Solution

    |

  15. From the point (15, 12), three normals are drawn to the parabola y^2=4...

    Text Solution

    |

  16. The line x-y=1 intersects the parabola y^2=4x at A and B . Normals at ...

    Text Solution

    |

  17. If normal are drawn from a point P(h , k) to the parabola y^2=4a x , t...

    Text Solution

    |

  18. The circle x^2+y^2+2lambdax=0,lambda in R , touches the parabola y^2=...

    Text Solution

    |

  19. The radius of the circle whose centre is (-4,0) and which cuts the par...

    Text Solution

    |

  20. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

    Text Solution

    |