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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

A

a circle

B

a parabola

C

an ellipse

D

hyperbola

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-CIRCLE -Exercise For Session 5
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  2. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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

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

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  5. The locus of the mid point of a chord of the circle x^2+y^2=4 which su...

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  6. The length of tangents from P(1,-1) and Q(3,3) to a circle are sqrt2an...

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  7. If the angle between the tangents drawn to x^2+y^2+2gx+2fy+c=0 from (0...

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  8. The chords of contact of the pair of tangents drawn from each point on...

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  9. The length of the tangent from (0, 0) to the circle 2(x^(2)+y^(2))+x-y...

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  10. Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. The...

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  11. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

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  12. The exhaustive range of value of a such that the angle between the pai...

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  13. If the distances from the origin of the centers of three circles x^2+y...

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  14. find the area of the quadrilateral formed by a pair of tangents from t...

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  15. If the length of the tangent from a point (f,g) to the circle x^2+y^2=...

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  16. Find the equation of that chord of the circle x^2 + y^2 = 15, which is...

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  17. The chrods of contact of the pair of tangents to the circle x^(2)+y^(2...

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