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The locus of centres of all circles whic...

The locus of centres of all circles which touch the line x = 2a and cut the circle `x^2 + y^2 = a^2` orthogonally is

A

`y^2+4ax-5a^2=0`

B

`y^2+4ax+5a^2=0`

C

`y^2=4ax+5a^2`

D

`y^2=4ax-5a^2`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-II (Class work)
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  3. The locus of centres of all circles which touch the line x = 2a and cu...

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  4. If the circles of same radius 'a' and centres at (2, 3) and (5, 6) cut...

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  5. If the circle x^2 + y^2 + 2x - 2y + 4 = 0 cuts the circle x^2 + y^2 + ...

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  6. A line 'I' meets the circle x^2 + y^2 =61 in A, B and P(-5, 6) is such...

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  7. If P and Q are the Points of intersection of the circles x^2 + y^2 + 3...

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  8. From the point P(2, 3) tangents PA,PB are drawn to the circle x^2+y^2-...

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  9. The common chord of x^2 + y^2 - 4x - 4y = 0 and x^2 + y^2 = 16 substen...

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  10. x^2+y^2+2lambdax+5=0 and x^2+y^2+2lambday+5=0 are two circles. P is a ...

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  11. The centres of the circles are (a, c) and (b, c) and their radical axi...

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  12. (a,0) and (b, 0) are centres of two circles belonging to a co-axial sy...

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  13. If the circles x^2 + y^2 + 2ax + cy + a =0 and x^2 + y^2 - 3ax + dy - ...

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  14. The radical centre of the circles x^2+y^2-x+3y-3=0 , x^2+y^2-2x+2y-2=0...

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  15. The centre of the circle orthogonal to the circles x^2+y^2+4y+1=0 , x^...

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  16. The point from which the tangents to the circles x^2+y^2-8x+40=0, 5x^2...

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  17. You are given n ( ge 3) circles having different radical axes and rad...

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  18. If A, B, C are the centres of three circles touching mutually external...

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  19. The radical centre of the three circles described on the three sides o...

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  20. ABC is a triangle. The radical centre of the circles with AB, BC, CA a...

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