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Find the equation of the common tangent ...

Find the equation of the common tangent in the first quadrant of the circle `x^2+y^2=16` and the ellipse `x^2/25+y^2/4=1`.Also find the length of the intercept of the tangent between the coordinates axes.

Text Solution

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The correct Answer is:
`y=-(2x)/(sqrt(3))+4 sqrt((7)/(3)), (14sqrt(3))/(3)`
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