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Theorem of Equal Angles Subtended by Different Chords

18. AB is a d...

Question

18. AB is a diameter. of x2 + 9y2 = 25. The eccentric angle of A is 3%. Then the eccentric angle of B is

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Q. The eccentric angle of one end of a diameter of

x^{2} + 3 y^{2} = 3

\frac{π}{6}

, then the eccentric angle of the other end will be:

\frac{x}{a} + \frac{y}{b} = \sqrt{2}

touches the ellipse

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

P

, then eccentric angle of

P

Q. The eccentric angle of the point where the line,

5 x - 3 y = 8 \sqrt{2}

is a normal to the ellipse

\frac{x^{2}}{25} + \frac{y^{2}}{9} = 1

\frac{x}{a} + \frac{y}{b} = \sqrt{2}

touches the ellipse

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

then its eccentric angle

θ

Q. Eccentric angle of a point on the ellipse

x^{2} + 3 y^{2} = 6

\sqrt{3}

units from the centre of the ellipse is

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Theorem of Equal Angles Subtended by Different Chords

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