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The locus of the foot of the perpendicul...

The locus of the foot of the perpendicular drawn from the origin to any chord of the circle `x^(2)+y^(2)+2gx+2fy+c=0` which substents a right angle at the origin is

A

`x^(2)+y^(2)+gx+fy+c//2=0`

B

`2(x^(2)+y^(2))+gx+fy+c=0`

C

`2(x^(2)+y^(2)+gx+fy)+3c=0`

D

`x^(2)+y^(2)+2(gx+fy+c)=0`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
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  2. The intercept made by the circlee x^(2)+y^(2)-2hx sin theta-2ky sin th...

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  3. The extermities of a diameter of a circle have coordinate (-4,-3) and ...

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  4. The length of the chord x+2y=5 of the circle x^(2)+y^(2)=9 is

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  5. The length of the chord x=3y+13 cut off by the circle x^(2)+y^(2)-4x+...

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  6. The equation of the circle with centre (3,-1) and which cuts off a cho...

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  7. The locus of centre of a circle which passes through the origin and cu...

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  8. The equation of the circle which is touched by y=x, has its centre on ...

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  9. The locus of the foot of the perpendicular drawn from the origin to an...

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  10. The locus of the centre of a circle which passes through the point (h,...

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  11. The circles x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y = m at two d...

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  12. If the line passing through P=(8,3) meets the circle S-=x^(2)+y^(2)-8x...

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  13. If the tangent at P on the circle x^(2)+y^(2)=a^(2) cuts two parallel ...

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  14. The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

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  15. If a circle passes through the points of intersection of the axes with...

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  16. If the line 2x+3y+1=0, 3x+2y-1=0 intersect the coordinate axes in four...

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  17. If the lines 2x-y+11=0, x-2y+3=0 intersect the coordinate axes in four...

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  18. The number of tangents that can be drawn from (6,0) to the circle x^(2...

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  19. The equation of the chord of contact of the point (4,2) with respect t...

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

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