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If the line 3x-4y-lambda=0 touches the ...

If the line `3x-4y-lambda=0` touches the circle `x^2 + y^2-4x-8y- 5=0` at (a, b) then which of the following is not the possible value of `lambda+a + b`?

A

20

B

`-28`

C

`-30`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Line `3x - 4y -lambda =0` touches the circle.
`rArr lambda = 15, -35`
For `lambda = 15`, point of contact `(a,b)` is `(5,0)`
For `lambda = - 35`, point of contact `(a,b)` is `(-1,8)`.
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