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A Circle is drawn with its centre on the...

A Circle is drawn with its centre on the line `x+y=2` to touch the line `4x - 3y +4=0` and pass throughthe point `(0, 1)`. Find its equation.

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The correct Answer is:
`x^(2) + y^(2) - 2x - 2y + 1 = 0` or `x^(2) + y^(2) - 42x + 38y - 39 = 0`
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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
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  3. A Circle is drawn with its centre on the line x+y=2 to touch the line ...

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  6. The line 2x - 3y +1=0 is tangent to a circle S=0 at (1, 1). If the r...

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  7. A circle with center in the first quadrant is tangent to y = x+10, y =...

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  8. A circle C is tangent to the x and y axis in the first quadrant at the...

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  9. Tangents are drawn to the concentric circles x^2+y^2=a^2 and x^2 +y^2=...

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  10. Find the locus of the mid point of the chord of a circle x^(2) + y^(2)...

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  11. Find the equation of circle passing through (1, 1) belonging to the sy...

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  12. A circle S = 0 is drawn with its centre at (-1, 1) so as to touch the ...

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  13. Find the equation of the circle which passes through the point (1, 1) ...

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  14. Find the equation of the circle whose radius is 3 and which touches ...

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  15. Find the equation of the circle whose diameter is the common chord of ...

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  16. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

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  17. Find the equation of the circle through the points of intersection of ...

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  18. The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts o...

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  19. Find the equation of a circle passing through the origin if the line p...

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  20. Find the equation of the circle which cuts the circle x^2 + y^2 - 14x...

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