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If O is the origin OP, OQ are the tangen...

If O is the origin OP, OQ are the tangent to the circle `x^(2)+y^(2)+2gx+2fy+c=0` then the circumcentre of the `triangleOPQ` is

A

(-g,-f)

B

(-f,-g)

C

(-g/2,-f/2)

D

(-f/2,-g/2)

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
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  2. O is the origin and OA, OB are a pair of tangents to the x^(2)+y^(2)+2...

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  3. If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2g...

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  4. Tangents PA and PB are drawn from P(a,b) to the circle x^(2)+y^(2)=r^(...

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  5. A circle touches x-axis and cuts off a constant length 2l from the y-a...

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  6. A circle passes through P(a,b) and touches the x-axis. The locus of th...

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  7. A rod PQ of length 2a sides with its ends on the axes the locus of the...

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  8. If O=(0,0), A=(1,0) and B=(1//2, sqrt3//2) then the centre of the circ...

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

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  10. The circle x^(2)+y^(2)-4x+4y-1=0 cuts the positive coordinate axes in ...

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  11. The interval in which the value of lambda should lie if the line 3x-4y...

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

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

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

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

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

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

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

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

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

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