Recently Active Mathematics Questions

solve the following: tanx-sinx=\frac{x^{3}}{2} ...

does the limit exist- limx-0xsin1/x ...

When to take permutation and when combi ? Suppose there are 11 places and 7 people have to be distributed in these places. How many ways ? Pls explain. Also pls explain the prime difference between permu and combi and when to ...

find (p) so that the given equation has real solutions (cos p -1)x2 + (cos p)x + sin p =0 ...

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1+ \frac{cos\theta }{cos\theta } + \frac{cos2\theta }{cos^2\theta } + \frac{cos3\theta }{cos^3\theta } + ... upto \infty for those whose latex is not working 1+ cosθ/cosθ + cos2θ/cos2θ + cos3θ/cos3θ + ... upto ∞ ...

plz solve this one.... ∫ dx/sin5x + cos5x ...

Try to prove that the locus of the centre of a circle that cuts two given circles orthogonally is the radical axis of the two given circles.(very important proof in coordinate geometry) ...

if f(x) has domain [0-1] and range [0-1] and iscontinuos n differneitable show dat for sum x...f(x)=x ...

f(x) = e2x. Then the normal to the curve f(x) passes through (a) (0,1) (b) (lne, e2) (c) (1/2, e) (d) (-1/4, 1/√e) ...

f(x)=(cosx)(sinx + sin2x + sin2t ) find range of f(x) if t is a constant.(answer in terms of t) ...

If 2cosθ=x + 1/x,2cosφ=y + 1/y,find values of 1)xmyn + 1/xmyn 2)xm/yn + yn/xm ...

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Provided n^3 unit cubes, n > 1 which are numbered from 1 to n^3. All these unit cubes are put together to form a cube with side length n. In this cube two unit cubes will be neighbors if they share at least one vertex. As ...

Let C be any circle with centre (0,√2). Prove that at the most two rational points can be there on C. (A rational point is a point both of whose coordinates are rational numbers.) (past JEE question) ...

(A) if x,y,z are 3 positive numbers in AP, then 3x+y/2y-x + 3z+y/2y-z ≥ In column II options were (p) 3 (q) 5 (r) 2 (s) 12 (t) 8 I got ≥8 So should i write the answer as 't' or pqrt ?? ...

If x1,x2...xn are roots of equation xn+p1xn-1+p2xn-2+...+pn-1x+pn=0 where p1,p2..pn real, Prove that(1+x12)(1+x22)(1+x32)..(1+xn2)=(1-p2+p4-p6+...)2+(p1-p3+p5-....)2 ...

\lim_{0}(tanx/x)^{1/x^{2}} (x is tending to 0) ...

let f(x) be such that f(xy)=f(x)f(y)....if f(x) is continuos at x=1,show dat f(x) iscontinuous at all x ≠0 ...

What is a normal to a circle ???????? ...

Q Solve \lim_{x\rightarrow 0}\frac{sin\frac{1}{x}}{\frac{1}{x}} ...

Ans is coming but method is very long.. is there any shorter method ?? x3 + y3 = 3axy P.t d2y/dx2 = 2a2xy/(ax-y2)3 ...

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Six people sit around a circular table. In how many ways can three pairs of people shake hands so that no arms cross (nobody shakes hands with two people at the same time)? ...

Ques1) Let f p (@ ) = (cos@/p2 + i sin @ / p2). (cos 2@ / p2 + i sin 2@ / p 2 )...................................(cos@ /p + i sin @/p). Then lim n→∞ [|fn(2 ∩ )|] is equlas to , where [.] denotes greatest integral funct ...

Prove that tan-1( 1+x - 1-x )/( 1+x + 1-x ) = π/4-1/2 Cos-1x 0<x<1. ...

integrate dx/((x^2) (1+(x^4))^3). ...

A coin has probability p of showing head when tossed.It is tossed n times.Let pn denote the probablity that no two(or more) consecutive heads appear. Prove taht pn=(1-p)pn-1 +p(1-p)pn-2 for n≥3 ...

9. A variable line, drawn through the point of intersection of the straight lines x/y + y/b = 1 & x/b + y/a =1, meets the coordinate axes in A & B. Show that the locus of the mid point of AB is the curve 2xy(a+b) = ab(x+y). 1 ...

On 3 different days a man has to drive to a railway station and he has 5 conveyances; in how many ways can he make the 3 journeys ? I have done: 5C3.3! + 5C1.4C1 3!/2! + 5C1 = 125 The ans is right but i think somewhere i have ...