Recently Active Mathematics Questions

The value of sine of angle between the vectors 2 i - j + 3 k and 3 i + 2 j + k is A stupid qs I know But if i take dot product i am getting cos A = 1/2 so sin A = root 3/2 But if i take cross product i am getting sin A =1 /2 ...

1. if W is the cube root of unity then (1-W+W2)5 +(1+W-W2) is equal to????? 2.if W is the cube root of unity then (1-W+W2)(1-W2+W6) is eqaul to??? ...

if f(x)= log( 1+x/1-x ) ; g(x) = log( 3x+x3/1+3x2 ) then find f(g(x)) in terms of f(x). 1) -f(x) 2) 3f(x) 3) [f(x)]3 4) -3f(x) ...

solve for x sin(x+y)=1 ...

Let f be a real -valued function with domain R satisfying f(x + 2008) = 1 + 2 - 3f(x) + 3f(x)2 - f(x)3 Answer the following 1) The period of f(x) is a) 2008 b)4016 c) 1004 d) 0 2) The value of f(x+4016) is a) 2008 b) 4016 c)1 ...

If there b a function f(x)=g(x)+h(x), where g(x) is an odd function & h(x) is an even function, then is f(x) an odd or even function? For example, f(x)=sgn(x)+x2 ...

find the reflection of the complex no. 2-i in the straight line z = iz ...

http://i41.tinypic.com/kb937n.jpg y do we discard y<y1 in last step?? ...

i have not understood PARTIAL OREDERING,TOTAL ORDERING, and ANTISYMMETRIC RELATIONS. can anyone explain with examples? ...

\texttt{deduce that } \prod_{k=1}^{n-1}{\sin \frac{k\pi}{n}}=\frac{n}{2^{n-1}} ...

Here are two good questions from Mathlinks , maybe you should give it a try . 1 > Let the positive integers a 1 , a 2 , a 3 , a 4 .... satisfy this eqn . , { 1 / a 1 } + { 1 / a 2 } + .... { 1 / a 100 } = 20 . Prove that t ...

1.if a,b,c be the pth, qth and rth terms respectively of an A.P ,prove that a(q-r)+b(r-p)+c(p-q)=0 2.how many terms are identical in the two Arithematic progression 2,4,6,8..... up to 100 terms and 3,6,9 ..... up to 80 terms. ...

Suppose f is a real valued differentiable function defined on [1,\propto) with f(1)=1 . Given the function satisfies the relation f'(x)=\frac{1}{x^2+f^2(x)} - so now find the maximum value of f(x) for x\ge 1 . ...

numbers of pair(s) of prime(p,q) satisfying the condition p2 - 6q2 = 1 is A.1 B.2 C.3 D.infinite show me step by step the solution ...

If sin4x/a + cos4x/b = 1/a+b ,prove that sin8x/a3 + cos8x/b3 = 1/(a+b)3 . ...

*Image* its a doubt ...

find the argument & modules of 3-4i. ...

\sum_{k = 0}^{\infty}\frac{x^{k}}{k+1} ?? ...

1.there are two straight lines. ten points lie on the first line and 8 point lie on the second line. of each points on the other line are joined to each other by line segment , the no. of point of intersction of these lines s ...

Let AB be a fixed chord passing through the focus of a parabola. how many circles can be drawn which touch the parabola and AB at the focus ...

let ABC be an acute angled triangle whose orthocentre at H. altitude from A is produced to meet circumcircle of the triangle ABC at D. then the distance HD is.....?? ...

Q1)Let g(x) be be function defined on{-1, 1].If the area of the equilateral triangle of two of vertices at(0,0) & (x,g(x)) is 3/4, then the function may be a)g(x)=± (1-x2) b)+ (1-x2) c)- (1-x2) Q2)find domain:f(x)= (sin x) - ...

P is an external point of the circle S=0 , n number of transversals are drawn from P to meet the circle S=0 in n pairs of points say (A1B1)(A2B2)......(AnBn) and power of the point P with respect to the circle S=0 is k then t ...

in triangle ABC , the incentre is I(1,0). equations of the lines AI , BI, CI are given by x=1 , y+1=x , x+3y=1 respectivly. and cot(A/2)=2 1) eqn of locus of centroid of ΔABC is....... 2) slope of BC is........ 3) if pt.A li ...

*Image* [.] denotes the greatest integer function ...

(!) f(x) = Lt n-->∞ [ x/(1+(2sinx)2n) ] then f is discontinuous at (A) pi (B) pi/3 (C) pi/4 (D) pi/6 ...

*Image* plz tell how we got that second step?? ...

1)Find the number of solutions of the equation *Image* here [.] is greatest integer function 2) evaluate - \int_{0}^{1}{(1+e^{-x^2}})dx 3) \textup{if }I_n=\int_{0}^{1}e^x(x-1)^n \textup{dx} \textup{ and } I_p=24e-65 \\\textup ...

q1) Find the real value of the parameter ' t ' for which there is at least one complex number z = x +iy satisfying the condition | z + 3 | = t2 - 2t + 6 and the inequality |z - 3 3 i| < t2 q2) solve x3 - 3 - { x } = 0 wher ...

*Image* i m getting answer as C///////////plz tell how cum B is right??? ...