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If x/alpha+y/beta=1 touches the circle x...

If `x/alpha+y/beta=1` touches the circle `x^2+y^2=a^2` then point `(1/alpha , 1/beta)` lies on (a) straight line (b) circle (c) parabola (d) ellipse

A

a straight line

B

a circle

C

a parabola

D

an ellipse

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the given line and circle and determine the relationship between the point \((1/\alpha, 1/\beta)\) and the conic section it lies on. ### Step-by-Step Solution: 1. **Identify the given line and circle:** - The line is given by the equation \(\frac{x}{\alpha} + \frac{y}{\beta} = 1\). - The circle is given by the equation \(x^2 + y^2 = a^2\). ...
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