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JEE Advanced 2010Paper 2

Exam: JEE Advanced
Year: 2010
Paper: Paper 2
Subject: Mathematics
Chapter: Ellipse

JEE Advanced 2010 · Paper 2 · Mathematics · Ellipse

Paragraph: Tangents are drawn from the point P(3,4) to the ellipse...

Paragraph: Tangents are drawn from the point

P(3,4)

to the ellipse

\frac{x^2}{9}+\frac{y^2}{4}=1

touching the ellipse at points

A

and

B

.Question: The coordinates of

A

and

B

are

Paragraph: Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2)/(4)=1 touching the ellipse at points

Paragraph: Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2)/(4)=1 touching the ellipse at points

Options

A $(3,0)$ and $(0,2)$
B $\left(-\frac{8}{5}, \frac{2 \sqrt{161}}{15}\right)$ and $\left(-\frac{9}{5}, \frac{8}{5}\right)$
C $\left(-\frac{8}{5}, \frac{2 \sqrt{161}}{15}\right)$ and $(0,2)$
D $(3,0)$ and $\left(-\frac{9}{5}, \frac{8}{5}\right)$

Correct answer

D. $(3,0)$ and $\left(-\frac{9}{5}, \frac{8}{5}\right)$

Step-by-step solution

\text{ Figure is self explanatory }

Paragraph: Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2)/(4)=1 touching the ellipse at points

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