Question

The number of real solutions of the equation
`(x^(2))/(1-|x-5|)=1` is
A. 4
B. 2
C. 1
D. None of these

Answer 1

Correct Answer - D
We have,
`(x^(2))/(1-|x-5|)=1`
`implies x^(2)=1-|x-5|impliesx^(2)-1=-|x-5|`

The total number of real solutions of this equation is equal to the number of points of intersection of the curves `y=x^(2)-1` and `y=-|x-5|`. Clearly, these two curves do not intersect. Hence, the given equation has no solution.