InterviewSolution
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InterviewSolution
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Statement-1: `tan{cos^(-1)(1)/sqrt(82)-sin^(-1)(5)/sqrt(26)}=29/3` Statement-2: `[x cos(cot^(-1))^(2)=51/50rarr x -(1)/5sqrt(2)`A. Statement-1 is is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False, Statement-2 is True. |
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Answer» we have tan `{cos^(-1)(1)sqrt(82)-sin^(-1)(5)/sqrt(26)}` `=tan (tan^(-1)9-tan^(-1)5)=tan{tan^(-1)(9-5)/(1+9xx5)}` `=tan(tan^(-1)2/23)=2/23` so statement 1 is not true `rarr (x^(2))/sqrt(x^(2)+1)+(1)sqrt(x^(2)+1)^(2)=51/50 rarr x^(2)+1=51/50 rarr x=(1)/(5sqrt(2))` so statement 2 is true |
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