If `N` is the number of different paths of lentght-12 which leads from A to B in the grid which do not pass through M, then the value of `[N//10]w h e r e[dot]` represents the greatest integer function is __________. Fig

If N is the number of different paths of length- 12 which leads from A to B in the grid which do not pass through M ,then the value of [(N)/(10)], where [.] represents the greatest integer function is

Evaluate: int_(-100)^(100)[tan^(-1)x]dx ,w h e r e[x] represents greatest integer function.

The domain of f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c), where a >0,b^2-4a c=0,i s(w h e r e[dot] represents greatest integer function).

A dice is weighted such that the probability of rolling the face numbered n is proportional to n^(2) (n = 1, 2, 3, 4, 5, 6). The dice is rolled twice, yielding the number a and b. The probability that a gt b is p then the value of [2//p] (where [ . ] represents greatest integer function) is _______.

lim_(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the greatest integer function). (a)-1 (b) 1 (c) 0 (d) does not exist

If (log)_4A=(log)_6B=(log)_9(A+B),t h e n [4(B/A)] (where [ ] represents the greatest integer function) equals ..............

Let E={1,2,3,4}andF={1,2}* If N is the number of onto functions from E rarr F then the value of N/2 is

y = f(x) which has differential equation y(2xy + e^(x)) dx - e^(x) dy = 0 passing through the point (0,n 1). Then which of the following is/are true about the function?