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If the equation 3x^2 + 3y^2 + 6lambdax +...

If the equation `3x^2 + 3y^2 + 6lambdax + 2lambda = 0` represents a circle, then the value of `lambda`. lies in

A

`(0oo, 0) uu[(2)/(3),oo]`

B

`(-oo,-1)uu [(1)/(3), oo)`

C

`(-oo, 0] uu [(2)/(3) ,oo)

D

none of these

Text Solution

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The correct Answer is:
C
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FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. The circles having radii r1a n dr2 intersect orthogonally. The length ...

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  2. The equation of the normal to the circle (x - 1)^2 + (y - 2)^2 = 4 whi...

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  3. If the equation 3x^2 + 3y^2 + 6lambdax + 2lambda = 0 represents a circ...

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  4. The circle which can be drawn to pass through (1, 0) and (3, 0) and to...

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  5. If (1sqrt3) be one of the vertices of an equilateral triangle in circl...

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  6. The equation of circle touching the |y| = x at a distance sqrt2 units ...

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  7. If the circle x^2 + y^2 + 2gx + 2fy +|sin theta| -1 = 0 passes through...

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  8. If the line x-ay=5 is a chord of the parabola y^(2) = 20x, then the ci...

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  9. If the focus of the parabola (y - k)^2 = 4(x - h) always lies between ...

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  10. A line drawn through the focus (F) and parallel to tangent at P(x, y) ...

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  11. The line x - b +lambda y = 0 cuts the parabola y^(2) = 4ax (a gt 0) at...

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  12. If the following informations is given about a parabola, then in which...

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  13. If the focus of a parabola is (2, 3) and its latus rectum is 8, then f...

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  14. Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...

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  15. Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...

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  16. If from a point on the line (x -1) =0, tangents are feawn to the parab...

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  17. The condition that a straight line with slope m will be normal to para...

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  18. The vertex V of the parabola y ^(2) = 4ax and two points on the parabo...

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  19. If P(theta),Q(theta+pi/2) are two points on the ellipse x^2/a^2+y^2/b^...

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  20. The area between the latusne latus rectum and tangents drawn at the en...

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