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If a circle passes through the points of...

If a circle passes through the points of intersection of the coordinate axes with the lines ` lambdax-y + 1=0` and `x-2y + 3 = 0`, then the value of `lambda` is............

A

`6 lamda ^(2) - 7 lamda + 2=0`

B

`7 lamda ^(2) - 6 lamda - 2=0`

C

`2 lamda ^(2) - 6 lamda + 1=0`

D

`2 lamda ^(2) - 7 lamda + 6=0`

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  2. If the equation ax ^(2) + 2 (a^(2) + ab 16) ay + by ^(2) + 2ax + 2by -...

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  3. If a circle passes through the points of intersection of the coordinat...

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  4. If a square with length of each side equal to a is inscribed in the ci...

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  5. The locus of the point which divides the join of A(-1, 1) and a varia...

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  6. If (alpha, beta) are the roots of the equation 15 x ^(2) - 22 x + 8=0 ...

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  7. (iii)If two circles cut a third circle orthogonally; then the radical ...

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  8. If a circle of constant radius 3k passes through the origin O and meet...

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  9. The locus of a point which moves such that the sum of the squares of t...

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  10. The tangents to the circle x ^(2) + y ^(2) = 48, which are inclined at...

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  11. Show that the circle on the chord xcosalpha+ ysinalpha-p = 0 of the ci...

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  12. The locus of a point which moves in a plane so that the sum of the squ...

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  13. Two circles are such that one is inscribed in and the other is circums...

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  14. Two tangents T (1) , T (2) as a pair of tangents from (-2, 0) and rad...

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  15. Find the locus of the point of intersection of tangents to the circle ...

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  16. The locus of the centers of the circles which cut the circles x^(2) + ...

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  17. An equation of the tangent at the point (5,2) of a circle is given by ...

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  18. A circle passes through the origin O and cuts the axes at A (a,0) and ...

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  19. If a circle cuts x ^(2) + y ^(2) =a ^(2) orthogonally and passes throu...

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  20. Two circles intersect at the point P (2,3) and the line joining the ot...

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