Statement 1. In any triangle `ABC,if a:b:c=4:5:6, then R:r=16:7`, Statement 2. In any triangle `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. 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. 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. |x^2-4|+|sinx|=|x^2+sinx-4|, if xepsilon [2,pi] , Statement 2. |x|+|y|=|x+y|, if xyle0 (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. 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. 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 sin^6theta=1+cos^4 3theta , then the most general value of theta is (4n+1/2)pi, n in I , Statement 2. General solution f costheta=0 is theta =(n+1) pi/2, n in I (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. 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. The general solutions of e^(1- 1/sqrt(2)). (e^(sinx)+e^(cosx))=2 is x= (4m+1) pi/4, mepsilon I , Statement. A.M. geG.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 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 any !ABC , if a : b : c = 4 : 5 : 6, then R:r=16:17. Statement-2: In any !ABC,R/r=(abc)/(4s)

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: a) If both the statements are true and Statement 2 is the correct explanation of statement 1. b) If both the statements are True but Statement 2 is not the correct explanation of Statement 1. c) If Statement 1 is True and Statement 2 is False. d) If Statement 1 is False and Statement 2 is True. Statement 1: If A ,B ,C are the angles of a triangle such that angle A is obtuse, then tanBt a n C > 1. Statement 2: In any triangle, tanA=(tanB+tanC)/(tanBtanC-1)