Home
Class 12
MATHS
If alpha be the number of solutons of eq...

If `alpha` be the number of solutons of equation `[sinx]=|x|, where [x]` denotes the integral part of x and m be the greatest value of `cos(x^2+xe^x-[x])` in the interval `[-1,1]`, then (A) `alpha=m` (B) `alphaltm` (C) `alphagtm` (D) `alpha!=m`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If [x] denotes the integral part of x and m= [|x|/(1+x^2)],n= integral values of 1/(2-sin3x) then (A) m!=n (B) mgtn (C) m+n=0 (D) n^m=0

If alpha is the number of solution of |x|=log(x-[x]) , (where [.] denotes greatest integer function) and lim_(xto alpha)(xe^(ax)-bsinx)/(x^(3)) is finite, the value of (a-b) is

Find the number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10x + 11}] is(where, {x} denotes fractional part of x and [x] denotes greatest integer function) (a)0 (b)1 (c)2 (d)3

If 1 lies between the roots of equation y^2 - my +1 = 0 and [x] denotes the integral part of x, then [((4|x|)/(x^2+16))^m] where x in R is equal to

The least integral value of m, m inR for which the range of function f (x) =(x+m)/(x^(2) +1) contains the interval [0,1] is :

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

Let [x] denote the greatest integer part of a real number x, if M= sum_(n=1)^(40)[(n^(2))/(2)] then M equals

If alpha,beta are roots of the equation x^2+l x+m=0 , write an equation whose roots are -1/alpha\ and-1/beta.

If x=2alpha+1\ a n d\ y=alpha-1 is a solution of the equation 2x-3y+5=0 , find the value of alpha

The number of value of alpha in the interval [-pi,0] satisfying sin alpha +int_(alpha )^(2alpha) cos 2 x dx =0 , then