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A rod PQ of length 2a sides with its end...

A rod PQ of length 2a sides with its ends on the axes the locus of the circumcentre of `triangleOPQ` is

A

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

B

`x^(2)+y^(2)=4a^(2)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
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  4. If O=(0,0), A=(1,0) and B=(1//2, sqrt3//2) then the centre of the circ...

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  5. If a chord of the circle x^(2)+y^(2)=8 makes equal intercepts of lengt...

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  8. The line x+y=1 cuts the coordinate axes at P and Q and a line perpendi...

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  9. Let x( x-a) + y (y-1) =0 be a circle. If two chords from (a,1) bisec...

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  10. If two distinct chords, drawn from the point (p,q) on the circle x^(2)...

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  11. The point of contact of the line 3x-4y-25=0 with the circle x^(2)+y^2=...

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  12. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

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  13. The piont where the line 4x - 3y + 7 = 0 touches the circle x^(2) + y^...

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  14. If the line y=mx+asqrt(1+m^2) touches the circle x^2+y^2=a^2, then the...

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  15. If the tangent to the circle x^2+y^2=5 at (1,-2) also touches the circ...

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  16. The line y=x+asqrt2 touches the circle x^2+y^2=a^2 at P. The coordinat...

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  17. The length of the tangent from (6,8) to the circle x^(2)+y^(2)=4 is

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  19. The length of the tangent from (0,0) to the circle 2x^(2)+2y^2+x-y+5=0...

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  20. The length of the tangent from to the circle x^(2)+y^(2)+2gx+2fy+c=0 t...

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