Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If `A` is obtuse angle I ` A B C ,` then `tanB\ t a n C<1` because Statement II: In ` A B C ,\ t a n A=(t a n B+t a n C)/(t a n B t a n C-1)\ ` a.`A` b. `\ B` c.`\ C` d. `D`

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: t a n5theta-t a n3theta-t a n2theta=t a n5thetat a n3thetat a n2theta Statement II: x=y+z=>t a n x-t a n y-t a n z=t a n x t a n y t a n zdot a. A b. \ B c. \ C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true 2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z are non zero. Then the system of equations a x+b y+c z=0b x+c y+a z=0c x+a y+b z=0 has infinite solutions. because Statement II: If the homogeneous system of equations has non trivial solution, then it has infinitely many solutions. a. A b. \ B c. \ C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If (log)_(((log)_5x))5=2, t h n x=5^(sqrt(5)) Statement II: (log)_x a=b , if a >0, t h e n x=a^(1//b) a.A b. B c. C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: sec^2theta=(4x y)/((x+y)^2) is positive for all real values of x\ a n d\ y oly when x=y because Statement II: t^2geq0AAt in R\ a. A b. \ B c. \ C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If a=y^2, b=z^2, c=x^2, t h e n8(log)_a x^3dot(log)_b y^3dot(log)_c z^3=27 Statement II: (log)_b adot(log)_c b=(log)_c a , also (log)_b a=1/("log"_a b) a.A b. B c. C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: the equation (log)_(1/(2+|"x"|))(5+x^2)=(log)_()(15+sqrt(x)) has real solutions. Because Statement II: (log)_(1//"b")a=(log)_b a (w h e r e a , b >0 a n d b!=1) and if number and base both are greater than unity then the number is positive. a.A b. B c. C d. D

Statement I is True: Statement II is True; Statement II is a correct explanation for statement I Statement I is true, Statement II is true; Statement II not a correct explanation for statement I. Statement I is true, statement II is false Statement I is false, statement II is true Statement I: cos e s^(-1)(cos e c9/5)=pi-9/5dot because Statement II: cos e c^(-1)(cos e c x)=pi-x :\ AAx in [pi/2,(3pi)/2]-{pi} a. A b. \ B c. \ C d. D

Statement I is True: Statement II is True; Statement II is a correct explanation for statement I Statement I is true, Statement II is true; Statement II not a correct explanation for statement I. Statement I is true, statement II is false Statement I is false, statement II is true Let f: R->R [0,\ pi//2] defined by f(x)=tan^(-1)(x^2+x+a) , then Statement I: The set of values of a for which f(x) is onto is [1/4,oo) because Statement II: Minimum value of x^2+x+a\ i s\ a-1/4dot a. A b. \ B c. \ C d. D

Each question has 5 choices (a) ,(b) ,(c ) (d) and (e ) out of which ONLY ONE is correct. (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. (e) Statement -1 and Statement -2 both are False. Statement -1: Yield of R-Br follows the order 1^(@) gt 2^(@) gt 3^(@) in Hundsdicker reaction Statement -2: Hundsdicker reaction follows free redical mechanism.