Recently Active Mathematics Questions

The number of matrices which we can from using 10 distinct real numbers is ______ ...

vector A = f '(x) i + g '(x) j vector B = i - f(x) j then: a) A and B are parallel atleast once in (a,b) if g(a) = g(b) b) A and B are perpendicular atleast once in (a,b) if g(a) = g(b) c) A and B are paralle at all x belongi ...

lim_{x\to0}\frac{(1+tan^{-1}3x)^{-3}-(1+sin^{-1}3x)^{-3}}{(1+sin^{-1}2x)^{-2}-(1+tan^{-1}2x)^{-2}} ...

can u help me out on this one without using de-moivre's theorem.... show that one value of (4+3i)^(-1/2) - (4-3i)^(-1/2) is 3√2/5.....('^':stands for:"to the power") ...

suppose A is a complex no. & n belong to N,such that An =(A+1)n=1.then least value of n is, 1.3 2.6 3.9 4.12 ...

F(x) = sin x + cos x, the maximum value of F(x) is (a) 1 (b)√ 2 (c) √3 (d) 2 ...

if we get in exams a question involving rectangular hyperbola..........which form should we use????? x2-y2=a2 or xy=c2 though calculation is easier using 2nd equation.......but still had a doubt that would the answeer change ...

The number of subsets of a set of n elements is (a) n (b) 2n (c) 2n (d) n2 and plzz give some xplaination about sets as i have just passes class 10th and want to learn sets for a scholrship exam ...

Q If f is a real valued f(x) then f(x) + 2f(2002/x)=3x for all x>0 .Then f(2) (A)1000 (B)2000 (C)3000 (D)4000 ...

please solve this sum..... *Image* ...

*Image* ...

*Image* ...

*Image* ...

*Image* ...

PROB 1 *Image* PROB 2 *Image* PROB 3 *Image* PROB 4 *Image* PROB 5 *Image* ...

*Image* *Image* I M GETTIN ANS AS "C" how bout u ?? ...

plz solve: 1.The range of α ε(-π,π) for which there exists no complex no. satisfying arg(z-1)=45° and arg(z+1)=α together is: a)(-pi,0] U [pi/4,pi] b)(-pi,0) c) [pi/4,pi] 2.Let it be known that all the roots of an equat ...

PLS DO 2ND AND 3RD QUESTIONS AND PLS INCLUDE COMPLETE SOLUTIONS [1] LetA,B, C be three sets of complex numbers as defined below A = {z : Im(z)≥1} B = {z :|z-2-i |=3} C = {z :Re((1-i)z) = 2 } Q.1 The number of elements in th ...

the slope of a chord of a parabola y2=8x which is normal at one end and subtends a right angle at the vertex is ?? ...

in a set of 5 games in a tennis match between A and B , the probability of a player who has won the earlier game winning a game is 2/3. A wins the first game.The probability that A will win atleast three of the next four game ...

no. of soln of x- (1/x2-a2)=a - (1/x2-a2) ...

in a triangle the incircle touches the sides BC,CA&AB at D,E&F respectively.If the radius of the incircle is 4 units and BD,CE,&AF are in AP with common difference 1,the what is the area of the triangle ABC????plzzz explain.. ...

*Image* ...

I1=∫(x/sinx) int frm 0 to pi/2 I2=∫arc tanx/x int frm 0 to 1 then I1/I2 =? ...

Let polynomials Pn(x) n=0,1,2,3 ...... , be defined by P0(x)=1 P_{n}(x) = \frac{1}{n!}\frac{d^{n}}{dx^{n}}[x^{n}(1-x)^{n}] , n\geq 1 Answer the following Q's 1) The \int_{0}^{1}{P_{n}(x)}x^{k}dx , 0\leq k<n is equla to a) ...

*Image* SOMEONE PLS EXPLAIN THE SOLUTION!!! ...

For x>0, \lim_{x\rightarrow 0}\left[(sinx)^{\frac{1}{x}}+\left(\frac{1}{x} \right)^{sinx} \right] is (a) 0 (b) -1 (c) 1 (d) 2 ...

the complex nos. whose real n imaginary parts r integers n satisfy d equation z.conj z3 + z3conj.z=350 forms a rectangle on the argand plane , the lenght of whose digonal is, 5 10 15 25 ...

pL try jus da 3rd Que. 1st two are easy *Image* ...

if the equation z4+a1z3+a2z2+a4=0,wherea1,a2,a3,a4 r real coeffiients diff. from zero has pure imaginary root then the expression a3/a1a2 + a1a4/a2a3 ha d value 1. 0 2. 1 3. -2 4. 2 ...