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=0,b x+c y+a z=0,c 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: consider D= |a_1a_2a_3 b_1b_2b_3 c_1c_2c_3| let B_1, B_2,\ B_3 be the co-factors \ b_1, b_2, a n d\ b_3 respectively then a_1B_1+a_2B_2+a_3B_3=0 because Statement II: If any two rows (or columns) in a determinant are identical then value of determinant is zero 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: Consider the system of equations 2x+3y+4z=5, x+y+z=1, x+2y+3z=4 This system of equations has infinite solutions. because Statement II: If the system of equation is e_1: a_1x+b_1y+c_1-d_1=0 e_2: a_2x+b_2y+c_2z-d_2=0 e_3: e_1+lambdae_2=0,\ w h e r e\ lambda\belongs to R\ &(a_1)/(a_2)!=(b_1)/(b_2) Then such system of equations has infinite solutions. a. A b. \ B c. \ C d. D

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) 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 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)_((3+x^ 2))(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: cos e s^(-1)(cos e c9/5)=pi-9/5dot Statement II: cos e c^(-1)(cos e c x)=pi-x :\ AAx in [pi/2,(3pi)/2]-{pi} 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: 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) 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