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`

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: 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

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 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 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: 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

(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 .

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: 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

Some questions (Assertion-Reason Type) are given below. Each question contains Statement I (Assertion) and statement II(reason). Each question has 4 choices (a),(b),(c ) and (d) out of which only one is correct. So select the correct choise. 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 ecplanation for Statement I c. Statement I is True, Statement II is False . d. Statement I is false, Statement II is True. Statement:I Though light of a single frequency (monochromatic light) is incident on a metal, the energies of emitted photoelectrons are different. Statement II: The energy of electrons just after they absorb photons incident on the metal surface may be lost in collision with other atoms in the metal before the electron is ejected out of the metal.