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For what value of lambda, does the line ...

For what value of `lambda`, does the line 3x + 4y = `lambda` touch the circle `x^2+ y^2 = 10x`.

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Line: 3x+4y-`lamda`=0
Circle:`x^2+y^2=10x`
`x^2-10x+y^2=0`
`(x-5)^2+y^2=5^2`
Distance of L from C
`|(3*5+0-lambda)/sqrt(4^2+3^2)|=5`
`|(15-lambda)/5|=5`
`(15-lambda)/5=pm5`
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