Recently Active Mathematics Questions

Let T1, T2 be two tangents drawn from (-2,0) oneo the circle C:x2+y2=1. Determine thecircles touching C and having T1, T2 as their pair of tangents. Further, find the equations of all possible common tangents to these circles ...

Prove \sum_{x,y,x}^{}{\sin x \sin y \sin(x-y)+\sin(x-y)\sin(y-z)\sin(z-x)} = 0 JEE 1978 ...

Is there any quick method of finding if 4 given pts are concyclic or not? (finding the eqn of the circle thru 3 pts and then checking the 4th pt in the eqn is really looooooooooong) ...

sin4x+4cos2x - 4sin2x+cos4x = cos2x *mistake in typing.. corrected! ...

find the remainder when 3100 is divided by 100 (post ur entire method please ) ...

∫1-sinx dx/x(1-x3e3cosx) ...

1. \int (sec^{2}x+sin^{2}x)/2sin^{2}xcos^{2}x 2. \int 1/x^{3}(x-1) dx 3. \int (1+x^{2}+x)/x^{2}(x+1)dx ...

given \frac{x}{b+c-a}= \frac{y}{c+a-b} = \frac{z}{a+b-c} prove that \frac{x(y+z)+y(z+x)+z(x+y)}{2(ax+by+cz)}= \frac{x+y+z}{a+b+c} ...

can anyone help me out in finding limits by ε-δ method?? exams mein aa rahaa hai yeh sab... although simple limits hi hain.. ...

1) What is recursion??? 2) Is thoroughness in that topic a pre-requisite for cracking jee??? 3) How is it useful in solving integration problems??? NOTE: LINKS ARE BANNED FROM THIS THREAD!!! PLS GIVE REPLIES IN UR OWN WORDS O ...

Evaluate: \sin \left(\frac{\pi}{14} \right)\sin \left(\frac{3\pi}{14} \right)\sin \left(\frac{5\pi}{14} \right)\sin \left(\frac{7\pi}{14} \right)\sin \left(\frac{9\pi}{14} \right)\sin \left(\frac{13\pi}{14} \right) .sin(11pi/ ...

wrong one again ...

wrong post sorry ...

SHOULD \frac{x^{3}}{(x-1)^{3}(x-2)} BE WRITTEN AS \frac{A}{(x-1)^{3}}+\frac{B}{(x-1)^{2}}+\frac{C}{(x-1)}+\frac{D}{(x-2)} IF NOT WHAT IS THE CORRECT WAY TO SPLIT IT? ...

the no. of quation of roots satisfying the equation 2(sinA +cosA)=csin2A c2<8 in the interval [0,2∩] a)0 b)1 c)2 d)3 ...

If f(x)is be periodic with period λ & f(-x)+f(x) =0 Prove that ax∫f(t)dt is periodic with λ ...

y = sin{x} where {} is Fractional part?? ...

determine the smallest positive value of x in degrees fro which tan(x+100) = tan(x+50)tanx tan (x-50) all angles in degrees! ...

lim sin( x )/ x x→0+ ...

if |2iz1-z1-z2|/|2iz1+z1+z2| = |cosx-isinx|/|cosx+isinx| then z1/z2 is a)purely real b)purely imaginary c)complex number with real part as positive d) complex number with real part negative ...

Line L has intercepts a and b on the axes,the axes are rotated thru a certain angle,now the intercepts are p and q , then A)a2+b2 = p2+q2 B)1/a2 + 1/b2 = 1/p2 + 1/q2 C)a2+p2 = b2+q2 D)1/a2 + 1/p2 = 1/b2 + 1/q2 ...

Prove that a triangle ABC is equlateral if and only if tan A+tan B + tan C = 3 3 ...

this is a passage question..........i solve d the rest of them but cant do this one..... A point is moving on curve S such that at any instant the slope is proportional to ratio of absicca with ordinate of point and area boun ...

In a \Delta OAB , E is the mid pt of OB , D is such that AD:DB = 2:1 if OD,AE intersect at P ,find OP:PD @priyam,corrected the question,D is a pt on AB ...

Evaluate 3(\sin x- \cos x)^4 + 6(\sin x + \cos x)^2+ 4 \sin^6x+4 \cos^6x IIT JEE 1975 ...

A variable line with -ve slope passes thru \left(8,2 \right) with intercepts on the axes being P and Q , find min(P+Q) ...

Prove \frac{sin 2A+sin 2B+ sin 2C}{Cos A + Cos B + Cos C-1}=8cos\frac{A}{2}cos\frac{B}{2}cos\frac{C}{2} This is from IIT JEE 1977 ...

Two planes P1 and P2 pass through origin. Two lines L1 and L2 also passing through origin are such that L1 lies on P1 but not on P2, L2 lies on P2 but not on P1. A,B< C are three points other than origin, then prove that t ...

Maximum value of \cos(\alpha_1)\cos(\alpha_2)...\cos(\alpha_n) under the restrictions 0\leq \alpha_1, \alpha_2, .....\alpha_n \leq \pi/2 and cot(\alpha_1)cot(\alpha_2) .....cot(\alpha_n) = 1 is? ...

Sides of a triangle are in ratio 1: 3 :2 angles are in ratio? ...