Recently Active Mathematics Questions

If 0≤x≤100 , then total number of integer values taken by the function [x] + [2x] + [3x] + [4x] + [5x] is. ...

how to find the equation of the diameter of a circle when a circle is given whose equation is x2 + y2+ 12x +6y +10 =0?? ...

a circle 'c' intersecting the ellipse x2/16 + y2/9=1 such that common chord is of max. length , and intersecting the circle x2+y2-6x-10y+9=0 orthogonally ,then number of common tangents of circle 'c' and circle x2+y2-10x-11=0 ...

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*Image* i m getting sin 4x (2cosx -1) = 0 what after that???? ...

just for practice 1)Find an equation of the line through the point A (4,5,5) which meets the line (x-11)/3 = (y+8)/-1 = z-4 at right angles. ...

If axb=c bxc=a then find relation b/w a,b,c I have got some ans..but i dont have answer key..so tell me ur answer..... ...

If A + B + C = 180° then Cos (A - B) = ?...... ...

1)in an equilateral triangle of side a, the distance of a point P from its vertices is given 3.4 and 5 respectively.FIND THE VALUE OF THE SIDE a. 2)On similar ground try to to find the side of a square ABCD such that the dist ...

A circle passes thru three pts A , B and C with line segment AC as diameter . A line passing thru A intersects the chord BC at a pt. D inside the circle. If angles DAB and CAB are α and β , respectively and the distance b/w ...

Tell me how the circumference of a circle is 2 x pi x r... here pi is in radians or its simply a constant................. i m having a silly confusion right now.. while studying Areas of sectors and segment.... ...

\frac{\sin 36^\circ}{\sin(\theta+12^\circ)}=\frac{\sqrt 5\sin 12^\circ}{\sin\theta} ...

*Image* There are six circles of equal radius and are arranged as an equilateral triangle. Find the radius of the circle. ...

1)In how many ways can the letter of the word 'ARRANGE' be arranged so that a)the 2 A's are together but not the 2 R's ? b)neither the two A's nor the two R's are together? 2)How many numbers greater than 10000 can be formed ...

2+3+5+10+20+..................+10240 ...

\sqrt[3]{cos(\frac{2\pi}{7})}+\sqrt[3]{cos(\frac{4\pi}{7})}+\sqrt[3]{cos(\frac{6\pi}{7})} ...

*Image* Can we say that it is a function? "of form x = f(y) " ...

Show that there are infinitely many prime numbers......... I've some confusion in this proof... We first assume that any number greater than 1 is either a prime or product of primes fine Again we consider a number N = p1.p2.. ...

If a,b,c,d,e,f are in A.P then prove that,.............. (a + 2b + 2c + d + e + f)/(a + 2c + f) = 2 ...

What is meant by permutation of a number?... ...

if, a + b + c = 1 a2 + b2 + c2 = 2 a3 + b3 + c3 = 3 Find, a4 + b4 + c4 and the value of a,b and c ...

In a book, the proof for demorgan's law, (A∩B)* = A*unionB* [*=complement] starts with,saying that for all x belongs to (A∩B)* , x is not a member of AunionB. But how can we say that, for example, if A = {1,2,3} and B = ( ...

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1) If f( x+y/2 ) = f(x) + f(y)/2 for x,y belongs to R anf f'(0) exists and equal to -1 and f(0) = 1 then the value of f(2) is 1) 0 2) 1 3)-1 4) 2 answer 3 ---------------------------------------------------------------------- ...

I m new here & dis is my 1st post So help me out.Some of these probs mite b vry easy fr u guys & nt of IIT level bt stl pls solve them.Give suitable xplanations. 1) If f is an odd function and limx→0f(x) exists then limx→ ...

Can anyone explain me this step please- coefficient of xn in [C0(1+x)2n - C1(1+x)2n-2 + C2(1+x)2n-4............... ] = coefficient of xn in [-1 + (1+x)2]n Thanks alot ...

Find the value of: tan81° - tan63° - tan27° + tan9° ...

If A+B+C=pi FInd the least value of 2tanA + 3 tan B + tanc. ...

1. (sin-1x+sin-1w) (sin-1y+sin-1z) = π2 then, \begin{vmatrix} X^{N_{1}} & Y^{N_{2}}\\ Z^{N_{3}} & W^{N_{4}} \end{vmatrix} where N1,N2,N3,N4 ε N : a) has a max. value of 2 b) has a min value of -2 c) is independent of Ni d) ...

if x= y cos 2pie/3 = z cos 4pie/3 then xy+yz+xz=? ...