If the tangent at - to the circle x2-y2-4 touches the circle x2-y2-6-3x-6y-20-0 then one of the values of - is-

The correct option is A π3 Hence, Option (B) is the correct answer. ...

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Corresponding Points : Ellipse

If the tangen...

Question

If the tangent at $(θ)$ to the circle $x^{2} + y^{2} = 4$ touches the circle $x^{2} + y^{2} - 6 \sqrt{3} x - 6 y + 20 = 0$ then one of the values of $θ$ is?

\frac{π}{3}

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\frac{π}{6}

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\frac{π}{4}

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\frac{π}{2}

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a

θ

(a, 0)

x^{2} + y^{2} = 1

\frac{π}{2} < θ < π

If the tangent to the ellipse $x^{2} + 4 y^{2} = 16$ at $P (θ)$ is normal to circle $x^{2} + y^{2} - 8 x - 4 y = 0$ . Then $θ$ equals to

x cos θ + y sin θ = 2

x^{2} + y^{2} = 4

x^{2} + y^{2} - 6 \sqrt{3} x - 6 y + 20 = 0

θ

P

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x = a cos θ, y = a sin θ

(θ)

\frac{π}{6}

P

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x cos θ + y sin θ = 2

x^{2} + y^{2} = 4

x^{2} + y^{2} - 6 \sqrt{3} x - 6 y + 20 = 0

θ

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