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: `cos^3alpha+cos^3(alpha+(2pi)/3)+(alpha+(4pi)/3)=2cosalphacos(alpha+(2pi)/3)cos(alpha+(4pi)/3)` because Statement II: In `a+b+c=0=>a^3+b^3+c^3=3a c` 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 s intheta+cos e ctheta=2,\ t h e nsin^ntheta=cos e c^ntheta=2^n because Statement II: If \ a+b=2,\ a b=1, then a=b=1\ a. A b. \ B c. \ C d. D

statement-I- cos^3alpha + cos^3(alpha+2pi/3) + cos^3(alpha+4pi/3) = 3cosalpha cos(alpha+2pi/3)cos(alpha+4pi/3) Because Statement-II - if a+b+c=0 iff a^3+b^3+c^3=3abc

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: 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: 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

A.Statement I is True: Statement II is True; Statement II is a correct explanation for statement I B.Statement I is true, Statement II is true; Statement II not a correct explanation for statement I. C.Statement I is true, statement II is false D.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 Statement I: Range of cos(sec^(-1)(1/x)+cos e c1/xtan^(-1)x)i s\ [-1/(sqrt(2)),1/(sqrt(2))] because Statement II: Range of sin^(-1)x+tan^(-1)x+cos^(-1)x\ i s\ [pi/4,(3pi)/4] 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=5x+y+z=1x+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= e_3: e_1+lambdae_2=0,\ w h e r e\ lambda\ 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 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 r ,\ s\ &\ t be the roots of the equation : x(x-2)(3x-7)=2,\ t h e ntan^(-1)r+tan^(-1)s+tan^(-1)t=3pi//4 because Statement II: The roots of the equation x(x-2)(3x-7)=2 are real & negative. a. A b. \ B c. \ C d. D

(a) Statement I is true, Statement II is true , Statement II is a correct explanation for statement I. (b) Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I. (C) Statement I is true, Statement II is false. (D) Statement I is false , Statement II is true. Statement I through the point (pi,pi+1),pilt2 , there cannot be more than one normal to the parabola y^2=4ax . Statement II The point (pi,pi+1) cannot lie inside the parabola y^2=4ax .