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Chord of Contact

8. if chord o...

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8. if chord of contact of tangent drawn from point p,q to ellipse x2/a2+y2/b2 =1 touches circle x2+y2=k2, then find locus of point p,q

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Q. If chord of contact of the tangent drawn from the point

(α, β)

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

touches the circle

x^{2} + y^{2} = k^{2}

, then find the locus of the point

(α, β)

.

Q. If chord of contact of the tangent drawn from the point

(α, β)

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

touches the circle

x^{2} + y^{2} = k^{2}

, then find the locus of the point

(α, β)

Q. If the chord of contact of tangents drawn from a point on the circle

x^{2} + y^{2} = a^{2}

x^{2} + y^{2} = b^{2}

touches the circle

x^{2} + y^{2} = c^{2}

, then a, b,c are in .

Q. Tangents are drawn from a point P to the circle

x^{2} + y^{2} = r^{2}

so that the chords of contact are tangents to the ellipse

a^{2} x^{2} + b^{2} + y^{2} = r^{4}

. Find the locus of P.

Q. A tangent to the hyperbola

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

cuts the ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

P

Q

. The locus of the mid- point

P Q

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