The number of real solution of the equation `tan^(-1) sqrt(x^(2) - 3x + 2) + cos^(-1) sqrt(4x - x^(2) -3) = pi` isA. oneB. twoC. zeroD. infinite

The number of real solution of the equation `tan^(-1) sqrt(x^(2) - 3x

1.	The number of real solution of the equation `tan^(-1) sqrt(x^(2) - 3x + 2) + cos^(-1) sqrt(4x - x^(2) -3) = pi` isA. oneB. twoC. zeroD. infinite
Answer» Correct Answer - C Since `sqrt(x^(2) - 3x + 2) ge 0` `rArr 0 le tan^(-1) sqrt(x^(2) - 3x + 2) lt (pi)/(2)` and `sqrt(4x -x^(2) -3) le 0 rArr 0 lt cos^(-1) sqrt(4x - x^(2) -3) le (pi)/(2)` Adding, we have `0 lt L.H.S. lt pi` Therefore, the given equation has no solution

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