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Tangents are drawn to the concentric cir...

Tangents are drawn to the concentric circles `x^2+y^2=a^2` and `x^2 +y^2=b^2` at right angle to one another Show that the locus of their point of intersection is a 3rd concentric circle. Find its radius

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The correct Answer is:
`x^(2)+y^(2) = a^(2) + b^(2); r = sqrt(a^(2) + b^(2))`
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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. A circle with center in the first quadrant is tangent to y = x+10, y =...

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

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

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

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

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

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

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

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

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  10. 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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  11. Find the equation of the circle through the points of intersection of ...

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

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

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

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

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  16. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

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  17. Find the equation of the circle passing through the point (– 6, 0) if ...

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  18. Find the equation of the circle which passes through the origin, meets...

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  19. Determine the nature of the quadrilateral formed by four lines 3x+4y ...

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  20. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

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