Number of common tangents of ellipse frac{{{{left( {x - 2} right)}^2}}}{9} + frac{{{{lef

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10-2. Parabola, Ellipse, Hyperbola

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Number of common tangents of the ellipse $\frac{{{{\left( {x - 2} \right)}^2}}}{9} + \frac{{{{\left( {y + 2} \right)}^2}}}{4} = 1$ and the circle $x^2 + y^2 -4x + 2y + 4 = 0$ is

A

$0$

B

$1$

C

$2$

D

more than $2$

Solution

Ellipse and circle touches each other at $(2,0)$
$\therefore $ Length of common chord = $0$

Standard 11

Mathematics

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