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 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 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: 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: 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 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

(a) Statement I is true, Satement II is true, Statement II is the correct explanaition of Statement I. (b) Statement I is true, Satement II is true, Statement II is not the correct explanaiton of Statement I. (c ) Statement I is true, Statement II is false (d) Statement I is false : Statement II is true 1. Statement I : Between SiCl_(4) and CCl_(4) only SiCl_(4) reacts with water. Statement II : SiCl_(4) is ionic and CCl_(4) is covalent

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

For the following question, choose the correct answer from the codes (a), (b), (c) and (d) defined as follows: Statement I is true, Statement II is also true; Statement II is the correct explanation of Statement I. Statement I is true, Statement II is also true; Statement II is not the correct explanation of Statement I. Statement I is true; Statement II is false Statement I is false; Statement II is true. Let a , b , c , p , q be the real numbers. Suppose alpha,beta are the roots of the equation x^2+2p x+q=0 and alpha,1/beta are the roots of the equation a x^2+2b x+c=0, where beta^2 !in {-1,0,1}dot Statement I (p^2-q)(b^2-a c)geq0 and Statement II b !in p a or c !in q adot