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The locus of the point, the chord of con...

The locus of the point, the chord of contact of which wrt the circle `x^(2)+y^(2)=a^(2)` subtends a right angle at the centre of the circle is

A

`x^(2)+y^(2)=a^(2)//2`

B

`x^(2)+y^()=a^(2)//3`

C

`x^(2)+y^(2)=2a^(2)`

D

`x^(2)+y^(2)=3a^(2)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The inverse point of (1,2) w.r.t. the circle x^(2)+y^(2)=25, is (5,k) ...

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  2. The length of the chord of contact of (-2,3) with respect to the circl...

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  3. The locus of the point, the chord of contact of which wrt the circle x...

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  4. The polar of the point (1,2) w.r.t. the circle x^(2)+y^2-2x-4y-4=0

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  5. The straight line x-2y+5=0 intersects the circle x^(2)+y^(2)=25 in poi...

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  6. The line 4x+4y-11=0 intersects the circle x^(2)+y^(2)-6x-4y+4=0 at A a...

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  7. If the pole of a line w.r.t to the circle x^(2)+y^(2)=a^(2) lies on th...

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  8. The locus of poles of tangents to the circle (x-p)^(2)+y^(2)=b^(2) w.r...

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  9. If the pole of the line with respect to the circle x^(2)+y^(2)=c^(2) l...

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  10. The polar of the point (2t,t-4) w.r.t. the circle x^(2)+y^(2)-4x-6y+1=...

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  11. In DeltaABC the midpoints are D,E and F of the sides AB,BC and CA, the...

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  12. If (1, a), (b, 2) are conjugate points with renpcet to the circle x^(2...

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  13. If the lengths of the tangents from two points A, B to a circle are 4,...

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  14. If A and B are conjugate points w.r.t to circle x^(2)+y^(2)=r^(2) then...

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  15. Inverse of (0,0) w.r.t to circle x^(2)+y^(2)-4x-6y+3=0 is

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  16. The midpoint of the chord 3x-y=10 w.r.t x^(2)+y^(2)=18 is

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  17. The mixpoint of chord 2x+y-6=0 of circle x^(2)+y^(2)=9 is

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  18. The length and the midpoint of the chord 4x-3y+5=0 w.r.t. the circle x...

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  19. The pair of tangents from (2,1) to the circle x^(2)+y^(2)=1 is

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  20. The midpoint of chord formed by the polar of (-9,2) w.r.t x^(2)+y^(2)=...

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