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If A and B are conjugate points w.r.t to...

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

A

`AB^(2)-r^(2)`

B

`AB^(2)+r^(2)`

C

`AB^(2)+2r^(2)`

D

`AB^(2)-2r^(2)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. If (1, a), (b, 2) are conjugate points with renpcet to the circle x^(2...

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

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

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

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

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

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

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

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

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  10. If (3,-2) is the midpoint of the chord AB of the circle x^(2)+y^(2)-4x...

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  11. Locus of midpoints of chords of circles x^(2)+y^(2)-4x-2y-4=0 which ar...

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  12. From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1 then ...

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  13. The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 whic...

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  14. Angle between tangents at the ends chords of circle (x-1)^(2)+(y-2)^(2...

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  15. The circle x^(2)+y^(2)-4x-6y-12=0, x^(2)+y^(2)+6x-8y+21=0 are

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  16. The circle x^(2)+y^(2)2x+4y+4y=0,x^(2)+y^(2)+4x-2y+1=0 are

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  17. The number of common tangents to x^(2)+y^(2)=1, x^(2)+y^(2)-6x-8y+24=0...

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  18. The number of common tangents to x^(2)+y^(2)=4,(x-3)^(2)+(y-4)^(2)=9 i...

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  19. The internal cent re of similitude of two circles (x-2)^(2)+(y-3)^(2)=...

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  20. The external centre of similitude of the two circles x^(2)+y^(2)-2x-6y...

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