1.

if `(3sin^(-1)x+pix-pi)^(2)+{sin(cos^(-1)((x)/(5)))}^(2)-2sin(cos^(-1)((x)/(5)))=-1` then which of the following is/are Correct?A. sum of values of x is 1B. product of non-zero solution is `(1)/(2)C. number of solution are two number of solutions are zero.D.

Answer» Correct Answer - D
From given equation
`(3sin^(-1)x+pix-pi)^(2)+{sin(cos^(-1)((x)/(5))-1}^(2)=0`
Which provide
`3sin^(-1)x+pix-pi=0impliesx=(1)/(2)` .(i)
and `sin(cos^(-1)((x)/(5)))=1`
`impliescos^(-1)((x)/(5))=(pi)/(2)impliesx=0` .. .(ii)
From (i) & (ii) given equation has no solution


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