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If the radius of the sphere x^2+y^2+z...

If the radius of the sphere
`x^2+y^2+z^2-6x-8y+10z+lambda=0` is unity, what is the value of `lambda` ?

A

49

B

7

C

-49

D

-7

Text Solution

Verified by Experts

The correct Answer is:
A
Given sphere : `x^2+y^2+z^2-6x-8y+10z+lambda=0`
Its radius =1
`rArr sqrt((-3)^2+(-4^2)+(5)^2-lambda)=1`
`rArr 9+16+25-lambda=1`
`:. Lambda=49`
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