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Find the locus of the middle points of p...

Find the locus of the middle points of portions of the tangents to the circle `x^2+y^2 =a^2` terminated bythe Coordinate axes.

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The correct Answer is:
`a^(2)(x^(2) + y^(2)) = 4x^(2)y^(2)`
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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. A circle passes through the points (-1,1), (0,6) and (5.5). The point(...

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  2. A Circle is drawn with its centre on the line x+y=2 to touch the line ...

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  3. Find the locus of the middle points of portions of the tangents to the...

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  4. Find the equation of the circle passing through the three points (4, 7...

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

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

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

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

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

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

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

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

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

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

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  15. 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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  16. Find the equation of the circle through the points of intersection of ...

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

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

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

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  20. The locus of the centers of the circles which cut the circles x^(2) + ...

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