Recently Active Mathematics Questions

ΣΣ(r+s)(Cr+Cs+CrCs) 0≤i<j≤n ...

*Image* sorry wrong pic.. ...

In ΔABC , E and F are pts on AC and AB . Lines BE and CF intersect at P area of BPF = 5 PFAE=22 CPE=8 wats area of BPC options 22 16 10 not uniquely decidable ...

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The rate of change of a double ordinate of x2=4by is proportional to its length,if the ordinate is varied frm the vertex,then the area traversed in time (ln4)/3k is ? (k is prop const) ...

integration sikho and sikhao people this riddle is for u : Lets try to out-riddle this riddle , Evaluate Walli's formula using βετα function . ...

is y=xtan(1/x) continuous at x=0?? easy one I know but My answer is not matchimg ...

must see for all people intrested in solving riddle : Let me see if u can solve this riddle , solve this limit and prove ur mettle . lim (n!/nn){(2n4+1)/(5n5+1)} n→∞ ...

(1+y2)dx=(etan-1x-x)dy ...

\lim_{x\rightarrow 0} \frac{2Sin3x-Sin6x}{x^3} By LHospital i am getting -27 But by another method i am getting 0 the other method is \lim_{x\rightarrow 0} \frac{2Sin3x}{x^3}-\frac{Sin6x}{x^3} \lim_{x\rightarrow 0} \frac{2*3S ...

Try to put "Why?" before every statement...then search for answers, FUNDAMENTALS will build up. ...

*Image* got x = 1 wat abt u guyz??????? ...

this is a easy one the equation of the image of the pair of rays y=|x| by the line x=2 is A)|y|=x+2 b)y=|x+4| c)y=|x-4| d)y=|x-2| ...

number of positive integral solutions of x1x2x3x4x5=1050 give method tooo ...

WAT CONDITIONS DO V HAV TO IMPLY ON 2TAN(Î x) in the fol. functn ?? ( Q11) *Image* ...

Just wanted to give u guys the formulas in properties of triangles. First of course is a diagram, which indicates all the parameters of a triangle I made it with paint...so pls forgive me if it is untidy *Image* ...

find the value of \sqrt{3}(sec55+cosec55) + sec55 - cosec55 surprisingly ,the answer consists of only 1 term(irrational) ...

WE hav discussed this once but a recent que. in Reso Test Series has forced me to ask agauin true / false if h(x) = f(x).g(x); f(x) is cont. at x = a while g(x) is discont at x =a then can h(x) be cont. at x = a ??? ...

find the condition on \lambda such that this eqn has real roots f(x) = \sqrt{3}\lambda x^4 - x^3 + 3\sqrt{3}\lambda According to the descartes rule,this eqn has either 2 or 0 roots,but i'm not getting any further frm here ...

Prove that from a point (a,b) of the circle x(x-a) + y(y-b) = 0, two chords, each bisected by the axis of x (rather x-axis), can be drawn if a2>8b2 [This is not my doubt, so provide complete solution for everyone's benefit ...

In a test ai students gave wrong answers to at least i questions where i=1,2,..........k.No student gave more than k wrong answers.THen total no. of wrong answers is given is???? ...

\int_{0}^{\pi/3 }{(f'(3x)+f'''(3x))}cos3xdx=-5 find f"(0) +f"(\pi ) ...

1) The value of 50C6 - 5C1.40C6 + 5C2.30C6 - 5C3.20C6 + 5C4.10C6 is 2) The minimum value of (8x^{2}+y^{2}+z^{2})(\frac{1}{x}+\frac{1}{y}+\frac{1}{z})^{2} is 3) In a ΔABC, tanB/tanC = 2/3 and tanA.tanB.tanC=6 then the value(s ...

can any1 explain cauchy schwarz inequality saf saf?i wikied but i cudnt get anything.... ...

no. of ways of arranging 3 boys and 3 girls on a round table such that only 2 and any 2 girls sit together ...

*Image* solve this 1 ...

Wat is the basic condition for two curves to be orthogonal ?? I know they need to intersect at 90° but wat abt the CASE WER the two CURVES INTERSECT EACH OTHER MORE THAN ONCE ??? eg. x2 = y and y2 = x are these said to be or ...

a similar question to this one was asked way back........... has high chance of getting repeated....... paragraph: for each positive real no. k, let Ck denoite the circle with center at origin and radius k units.On a circle C ...

7. If f(x) is a monotonic differentiable function on [α, β] then αβ∫f(x)dx + f(α)f(β)∫f-1xdx equals to (A) β f (β) – α f (α) (B) β f (α) – α f (β) (C) α f (α) + β f (β) (D) none of these ...

if a+b = (x+iy)1/3 then prove that 4(a2-b2)=x/a+y/b ...