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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`.
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CENGAGE-PARABOLA-Exercise (Single)
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  10. An equilateral triangle S A B is inscribed in the parabola y^2=4a x ha...

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  11. C is the center of the circle with center (0, 1) and radius unity. P i...

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  12. P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) ...

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  13. A B is a chord of the parabola y^2=4a x with vertex AdotB C is drawn p...

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  14. The set of values of alpha for which the point (alpha,1) lies inside t...

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  15. If X is the foot of the directrix on axis of the parabola. PP' is a d...

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  16. A water jet from a function reaches it maximum height of 4 m at a d...

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  17. Area of the triangle formed by the vertex, focus and one end of latusr...

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  18. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

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  19. Two parabolas have the same focus. If their directrices are the x- and...

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