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If the chord of contact of tangents from...

If the chord of contact of tangents from a point `(x_1,y_1)` to the circle `x^2+y^2=a^2` touches the circle `(x-a)^2+y^2=a^2`, then the locus of `(x_1,y_1)` is :

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PATHFINDER-CIRCLE-QUESTION BANK
  1. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

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  2. The chord of contact of tangents from a point P to a circle passes thr...

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  3. If the chord of contact of tangents from a point (x1,y1) to the circle...

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  4. The number of common tangents that can be drawn to the circles x^2+y^2...

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  5. The circles whose equations are x^2+y^2+c^2=2ax and x^2+y^2+c^2-2by=0 ...

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  6. The pole of a straight line with respect to the circle x^2+y^2=a^2 lie...

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  7. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

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  8. The circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of :

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  9. The locus of the centre of the circle which cuts orthogonally the circ...

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  10. If one of the diameters of the circle x^2+y^2-2x-6y+6=0 is a chord to ...

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  11. The equation of the circle passing through (2, 0) & (0, 4) and having ...

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  12. If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 1...

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  13. If P(2,8) is an interior point of the circle x^2+y^2-2x+4y-p=0, which ...

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  14. A,B,C,D are the points of intersection with the coordinate axes of the...

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  15. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

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  16. Equation of chord AB of circle x^2+y^2=2 passing through P(2,2) such t...

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  17. Two circles with radii a and b touch each other externally such that t...

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  18. If the tangent at the point P on the circle x^2+y^2+6x+6y=2 meets the ...

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  19. The number of common tangents that can be drawn to the circles x^2+y^2...

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  20. Equation of a circle with centre (4, 3) touching the circle x^2+y^2=1 ...

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