Recently Active Mathematics Questions

THESE ARE VERY SIMILAR TO ORIGINAL BITSAT STANDARD [ I'm serious ] Please DON'T DO these questions by ELIMINATION / SUBSTITUTION ..please give a valid reply with steps..it will be helpful to all BITSAT aspirants 1.If cos α = ...

Find Domain of the following- \sqrt{(4-x^{2})/([x]+2)} ...

factorize a3(b-c)3 +b3(c-a)3 +c3(a-b)3 ...

I am starting a thread after a long time - hope everyone participates [1][4] *Image* *Image* 2 > *Image* = ?????? ...

i)Prove that cos2A + cos2(A+ pie/3) + cos2(A- pie/3) = 3/2 ii)If sin4x/a + cos4x/b = 1/(a+b),Prove that sin12x/a5 + cos12x/b5 = 1/(a+b)5. iii)Prove that (1+cosA+sinA)/(1+cosA-sinA)=(1+sinA)/cosA. iv)If tanx=k,find sinx/cos3x ...

Q1) y=tan-1[√1+x2 + √1-x2 /√1+x2 - √1-x2], then dy/dx=? a) 1/√1-x4 b) -1/√1-x4 c) x/√1-x4 d) -x/√1-x4 ...

*Image* ...

when we use limit x tending to something (eg. 0) of f(x) where f(x) is some greatest integer function then how do u solve this type of questions ( when i did few questions of this type it seemed easy but there were 2 question ...

Q. Find period of function: f(x-1)+f(x+1)= 3 f(x) ...

∫(x+sin2x)dx/xsin2x ...

∫( x + cos 2x + 1)dx/xcos2x ...

Q1) For any acute angled triangle, \Delta ABC find the minimum value of \frac{sin A}{A}+\frac{sin B}{B}+\frac{sin C}{C} Q2) Find the volume of the largest cylinder that can be inscribed in a sphere of radius 'r' cm. Q3) A con ...

The direction cosines of a variable line in two near-by positions are l, m, n; l+\delta l, m+\delta m, n+\delta n Show that small angle \delta \theta between the two position is given by (\delta \theta )^{2}=(\delta l)^{2}+(\ ...

give the *Image* ...

Find the value of a,b and c such that limx→0 {axex - b log(1+x) + cxex}/x2sinx = 2 please help me with this sum...... ...

The last 3 digits of 79999 are a)523 b)143 c)343 d)263 ...

find the sum 2/1! + 12/2! + 28/3! + 50/4! + 78/5! ............................ ...

Sinθ+Cosθ=1 then the minimun value of (1+Cosecθ) (1+Secθ) is ................. ...

THESE ARE VERY SIMILAR TO ORIGINAL BITSAT STANDARD [ I'm serious ] I HAVE ADDED 2 MORE QUESTIONS... Here are Some questions taken DIRECTLY FROM MTG-2010 BITSAT EXPLORER , please try to give the steps for these questions : 1.I ...

Find domain of the following: log\ [log_{|sin x|}(x^2-8x+23)-\frac{3}{log_{2}|sin x|}] ...

it is in my belief that we live in a 3d world and we require a different level of mind to understand a 4d world.if there are certain creatures which live in a 4 d world,they will have a totally different conditions of living ...

Suppose f(x)=(x+1)2 for x>=-1.If g(x) is the the function whose graph is the reflection of the graph of f(x) with respect to the line y=x,then g(x) equals (a)-√x -1,x>=0 (b)1/(x+1)2,x>-1 (c) x+1 ,x>=-1 (d)√x-1 ...

f(x)= (x-1)/x-2{x} Please post ur solutions My ans (-∞,∞)-{0} answer given :(-∞,0)union(0,1]union[2,∞) ...

MAX VALUE OF x2y3 when 3x + 4y =1 is ...

2 sin x= mod x + a find a such that there is no real root ...

IF f(x)=cos[pi2]x + cos[-pi2]x,where [.] is the gif ,yhen value of f(pi) will b? what i have recognised about this qyestion is that this belongs to pi2-(9,10). ...

How many perfect squares are there in the sequence ... 4, 44,444, 4444 ,............ ...

find the summation till infinity of : *Image* ...

limx→0 { 16-16cos(cos10x)}/x4 evaluate the above limit.... please help... ...

let S =(1,2,3,4).THEN THE NO OF UNORDERED PAIR IN DISJOINT SUBSET OF S WILL B? ...