Statement - I :The equation `sin(cos x)` has no real solution. Because Statement - II : `sinx+-cosx\ in [-sqrt(2),sqrt(2)]dot` A (b) B (c) C (d) D

Statement - I : The equation sqrt(3)cosx-sinx=2 has exactly one solution in [0,\ 2pi]dot Because Statement - II : For equations of type a costheta+b s intheta=c have real solutions in [0,\ 2pi],\ |c|lt=sqrt(a^2+b^2) should hold true. 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 : The statement that circumradius and inradius of a triangle are 12 and 8 respectively can not be correct.. Because : Statement - II : Circumradius geq2 (inradius) A (b) B (c) C (d) D

Let F(x) be an indefinite integral of sin^(2)x Statement I The function F(x) satisfies F(x+pi)=F(x) for all real x. Because Statement II sin^(2)(x+pi)=sin^(2)x, for all real x. (A) Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I. (B)Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I. (C) Statement I is true, Statement II is false. (D) Statement I is false, Statement II is ture.

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

If the equation sin x+cos(k+x)+cos(k-x)=2 has real solutions,then sin k can be(A)(1)/(4)(B)(1)/(sqrt(2))(C)(3)/(4)(D)-(3)/(4)

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

The equation 3cos x+4sin x=6 has ...... solution.finite (b) infinite (c) one (d) no

The most general solution of the equation sqrt3cosx +sinx = sqrt2 is :