Solve the above problem ...
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Above ur solutions
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If a circle touches X-axis.
then it will lie in the XY plane and will be perpendicular to the Y-axis .
So , it's y coordinates becomes radius
We know,
Coordinate of y is -f
.°. r = √(g² + f² - c)
=> |-f| = √(g² + f² - c)
By squaring on both sides
=> f² = g² + f² - c
=> g² - c = 0
=> g² = c
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-----------------------Hence proved--------------------
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