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Two circles which pass through the point...

Two circles which pass through the points `A(0, a), B (0,-a)` and touch the line `y = mx+c` wil cut orthogonally if

A

`c ^(2) =a ^(2) (1 + m ^(2))`

B

`c ^(2) =a ^(2) (1 + 2m ^(2))`

C

`c ^(2) =a ^(2) (1+ m)^(2)`

D

`c ^(2) =a ^(2) +m^(2)`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  2. The lengths of the tangents from the points A and B to a circle are l...

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  3. Two circles which pass through the points A(0, a), B (0,-a) and touch ...

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  4. No portion of the circle x ^(2) + y^(2) - 16x + 18y + 1=0 lies in the

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  5. The geometrical mean between the smallest and greatest distance of the...

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  6. The length of the longest ray drawn from the point (4,3) to the circle...

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  7. If y pm a =0 is a pair of tangents to the circle x ^(2) + y ^(2) =a ^...

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  8. The circle x ^(2) + y ^(2) =9 is contained in the circle x ^(2) + y ^(...

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  9. The line (x-1) cos theta + (y-1) sin theta =1, for all values of theta...

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  10. Equation of the circle which cuts each of the circles x ^(2) + y ^(2) ...

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  11. The point at which the circle x ^(2) + y ^(2) + 2x + 6y + 4=0 and x ^(...

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  12. Find the equation of a circle which passes through the point (2,0) ...

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  13. If the limiting points of the system of circles x ^(2) + y ^(2) + 2gx+...

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  14. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

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  15. Locus of the centre of the circle touching the line 3x + 4y + 1=0 and ...

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  16. Chord of the circle x ^(2) +y ^(2) = 81 bisected at the point (-2,3) m...

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  17. An equilateral triangle is inscribed in the circle x ^(2) + y ^(2) =1 ...

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  18. The centre and radius of a circle given by equation x =2 +3 cos theta,...

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  19. Consider two circes x ^(2) + y ^(2) =a ^(2) - lamda and x ^(2) + y ^(2...

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  20. Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x ...

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