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The locus of centre of a circle which pa...

The locus of centre of a circle which passes through the origin and cuts off a length of 4 units on the line `x =3` is

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The correct Answer is:
`y^(2)+6x=13`

From the figure,
`CO=CA`
or `CO^(2)=CM^(2)+AM^(2)`
`implies (h-0)^(2)+(k-0)^(2)=((|h-3|)/(1))^(2)+4`
`impliesh^(2)+k^(2)=h^(2)-6h+13`
or `k^(2)= -6h+13`
or `k^(2)+h=13`
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CENGAGE-CIRCLE -Exercise 4.3
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  9. Find the length of the tangent drawn from any point on the circle x^2+...

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  10. A tangent is drawn to each of the circles x^2+y^2=a^2 and x^2+y^2=b^2d...

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  12. If a circle passes through the point of intersection of the lines lamb...

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  13. Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that ...

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  14. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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  15. (C) 2 45. Three concentric circles of which the biggest is x^2+ y^2= 1...

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  16. Find the middle point of the chord of the circle x^2+y^2=25 intercepte...

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  17. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

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