Recently Active Mathematics Questions

QUES : A BAG CONTAINS 3 WHITE, 3 BLACK AND 2 RED BALLS. ONE BY ONE ,THREE BALLS ARE DRAWN WITHOUT REPLACING THEM. FIND THE PROBABILITY THAT THIRD BALL IS RED. ...

let each of circles S1≡x2+y2+4y-1=0 S2≡x2+y2+6x+y+8=0 S3≡x2+y2-4x-4y-37=0 touches the other two. let P1,P2,P3 be the point of contact of S1 and S2, S2 and S3, S3 and S1 respectively. let T be the point of concurrence of ...

Q1. The equation Z3+ i Z -1 =0 has how many real roots ? The answer given is 0. BUT IF WE DO IT LIKE THIS : multiplying both sides by Z' [ Z conjugate ]... |Z|2 Z2 + i|Z|2 - Z' =0 then by inspection we get num of real roots a ...

solve the following \int_{0}^{\pi }{\frac{\sin ^2n\theta }{\sin ^2\theta }}d\theta ...

Consider a parabola Y=X2/4 and d point F(0,1). Let A1 (x1,y1), A2 (x2,y2), A3 (x3,y3)......,An (xn,yn) are 'n' points on the parabola such xk>0 and angle OFAk= \frac{k\Pi }{2n} (k=1,2,3...n).Then find d value of \lim_{n\ri ...

Q1 if n postiive integers are taken at random and multiplied together and pn is probablity that last digit of product is 2,4,6,8.Find pn and p4 Q2 2 integers r,s are drawn one at a time without relacememnt from set 1,2,3...n. ...

q1 Let an=5n+7n and \Delta =\begin{vmatrix} a_{n+1} &a_{n+2} &a_{n+3} \\ a_{n+4} &a_{n+5} &a_{n+6} \\ a_{n+7} & a_{n+8} & a_{n+9} \end{vmatrix} then Δ= ? q2 Let \ f_k(x)=\int_{0}^{x}{(a_kt^2+b_kt+c_k)dt} \ for \ 1\leq k \leq ...

plz post the solutions for these questions 1) find the value of \int_{0}^{100}{[tan^{-1}x]} where [] equals gretest integer function 2)find the value of \int_{-2}^{2}{min {x-[x],-x-[-x]}dx } where [] denotes greatest integer ...

1)\lim_{x\rightarrow 0}\frac{sin(\pi cos^2 \pi)}{x^2} Π(pi) 2)lim x→1 (1+cos \pi x)cot^2 \pi x 1/2 3)\lim_{h\rightarrow 0}[\frac{1}{h^3\sqrt{8+h}}-\frac{1}{2h}] -1/48 4)\lim_{h\rightarrow 0}\left[\frac{(a+h)^2sin(a+h)-a^2s ...

How many possible ways to : ∫ dx/x ...

A triangle with vertices at 3+i, i(1+ 3 ) , and i(1- 3 ) is rotated about its circumcentre through an angle of Î /3 in anticlockwise direction.Find the new positon of the vertices. Pls post the method and method to find circu ...

1. An arc AC of a circle subtends a right angle at the centre O. The point B divides the arc in the ratio 1:2 . If and OB =b then find OC in terms of a and b. ...

1.Remainder when 22003 is divided by 17.. 2.If n is a positive integer.. then value of \sum_{i=0}^{n}{(-1)^{n} } 10^{n} C^{2n}_{n} divided by 81^{n} ...

find the domain of f(x) f(x)=cos-1 1+x2/2x + sin(cosx) please help!! ...

Q1. \textup{If A=}\begin{bmatrix} a & b & c\\ b & c & a\\ c & a & b \end{bmatrix}\textup{, where a,b,c}\; \epsilon \; R^{+}\textup{ and abc=1,}\; A^{T}A=I\textup{, then }a^3+b^3+c^3\textup{ is} (a) a+b+c (b) a+b+c+3 (c) 3 (d) ...

The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y2 = 4ax is another parabola with directrix : ? [Show your working...I've found the midpoint of the segment in terms of parame ...

1) Find the value of y(log4), if y2 -7y1 +12y=0, given that- y(0)=2 & y1(0)=7. 2) :: Done :: If a function f(x) satisfies- i) f(x+y)= f(x).f(y) ii) f(x)= 1 + x.g(x), where Lim(x→0) g(x)=1. Find the value of logf(8). (Ans - ...

Wikipedia (http://en.wikipedia.org/wiki/Integration_by_parts) mentions LIATE rule to be followed when integrating by parts,whereas I have studied ILATE rule. Which is appropriate method ? ...

What is d cosine of angle of intersection of the curves: y=3x-1 logx and y=xx-1... ...

Find the no. of integer solutions of x+y+z = 24 such that x is even and +ve , y>2 and z > -2 ? A) 110 B) 96 C) 120 D) 121 ...

let l l l 1 0 0 l l l A= l 3 w 0 l l l l 0 3-i w^2 l l l then a) A^105 is a lower triangular matrix b) A^106 is a upper triangular matrix c) trace of A^109 is zero d) trace of A^108 is w^108 w, w^2 are cube oots of unity A is ...

1.. *Image* ...

If "f" is a Decreasing Odd fn., f-1 is - a)Odd, Decreasing b) Odd, Increasing c) Even, Decreasing d) Even, Increasing ...

Q1. Let \begin{Bmatrix} x_{n} \end{Bmatrix} be a sequence of real nos satisfying the recurrence relation x_{n+1}=\frac{x_{n}\sqrt{3}-1}{\sqrt{3}+x_{n}}, \; n\epsilon N Then the period of the sequence is got the answer .. but ...

Find the co-efficient of x59 in the expansion : (x-1)(x2-2)(x3-3)(x4-4).........(x11-11) EXPERT'S HELP PLEASE !!! ...

The value of \int_{a}^{b}{(x-a)^3 (b-x)^4 dx } is a) (b-a)4/64 b) (b-a)8/280 c) (b-a)7/73 d) None Of These (ans given in book is b) ...

hello every one in targetiit taking some hint from PrItIsH Da i thot of startin an thread for integration ( similar kind of prctc was folowed at mathlinks too) will post integrals myself and d person who answers the integral ...

q1)let A={x1,x2,...,xm},B={y1,y2,...,yn} and f:A→B,n>=m 1.number of increasing function from A to B: a)mCn b)nCm c)mn d)nC1+nC2+.....+nCn 2.number of non decreasing functions from A to B 3.number of onto functions from A ...

let A be the set of all 3X3 determinant having entries +1 or -1. if a determinant D from set A is chosen randomly, then probability that product of elemrnts of any row or any column is -1 is a) 1/32 b) 1/8 c)1/16 d) none ans ...

for real x,the function (x-a)(x-b) will assume real values provided x-c (A) a>b>c (B)a<b<c (C) a>c>b ( D) a<c<b please xplain logic... ...