Statement 1. `tan[cos^-1 (1/sqrt(82))-sin^-1 (5/sqrt(26))]` is equal to `29/3`, Statement 2. `{x cos(cot^-1 x)+sin(cot^-1x)}^2= 51/50`, when `x= 1/(5sqrt(2))` (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. cosec^-1 (1/2+1/sqrt(2))gtsec^-1 (1/2+1/sqrt(2)) , Statement 2. cosec^-1xgtsec^-1xif 1lexlesqrt(2) (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. If sin^-1 x=cos^-1 x, then x= 1/sqrt(2) , Statement 2. sin^-1 x+cos^-1 x= pi/2, 1lexlarr1 (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. cos^-1 x-sin^-1 (x/2+sqrt((3-3x^2)/2))=- pi/3, where 1/2 lexle1 , Statement 2. 2sin^-1 x=sin^-1 2x sqrt(1-x^2), where - 1/sqrt(2)lexle1/sqrt(2). (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. If x,0, tan^-1 x+ tan^-1 (1/x) = pi/2 , Statement 2. tan^-1 x+cot^-1 x= pi/2, AA xepsilon R (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. 2^(sinx)+2^(cosx)ge 2^(1-1/sqrt(2)) for all real x , Statement 2. For positive numbers, AMgeG.M. (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. If the mapping f(x)=x+b,agt0 maps[-1,1] onto [0,2], then f(x)=11+x , Stastement 2. cot(cot^-1 7+cot^-2 8+cot^-1 18)=3 (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. In a triangle ABC, if a:b:c=4:5:6, then R:r=16:7 , Statement 2. In a triangle ABC, R:r=abc:4s (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Stastement 2 is true

Statement 1. cosec^-1(3/2)+cos^-1(2/3)-2cos^-1(1/7)-cot^-1 7=cot^-1 7 Statement 2. sin^-1 x+cos^-1 x= pi/2, tan^-1 x=cot^-1 x= pi/2 cosec^-1 x= sin^-1 (1/x), cot^-1 x=tan^-1 (1/x) (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Stastement 1. alpha and beta are two distinct solutions of the equations a cosx+b sin x=c, then tan ((alpha+beta)/2) is independent for c , Statement 2. Solution acosx+bsinx=c is possible, if -sqrt(a^2+b^2)leclesqrt(a^2+b^2) (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement-1: intsin^-1xdx+intsin^-1sqrt(1-x^2)dx=pi/2x+c Statement-2: sin^-1x+cos^-1x=pi/2 (A) Statement-1 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.