Recently Active Mathematics Questions

find teh greatest value of the expression (a-x)(b-y)(c-z)(ax+by+cz) where a,b,c are known +ve quatities and a-x,b-y,c-z are also +ve. ...

with appropriate working f(x)= \left(1+\frac{1}{x} \right)^{x} ...

Ques 1) If the point (cos θ , sin θ ) does not fall in that angle between the lines y = |x-1| in which the origin lies, then θ belongs to (a) (∩ /2 . 3∩ /2) (b) (-∩/2 , ∩/2) (c) (0,∩) (d) none of these Ques 2) If ...

g(k)={4k+√(4k2-1) }/ √(2k+1)+√(2k-1) k belongs to N then find the value of g(1)+g(2)+g(3)........g(60)= ...

Q.(a+2)x2 + 2(a+1)x + a=0..The no.of integral valyes of 'a' for which the roots will be integers? ...

(1) Find (+ve) integral solution of the equation 3x^{2}-2xy+7y^{2}=0 ...

find... \sum_{1}^{\propto }{\frac{1}{(3n-3)!}} . [1][1][1] ...

\int \frac{dx}{(1+\sqrt{x})\sqrt{x-x^{2}}} ...

Two circles of unit radius have their center at (0,2) and (1,0) find the equation of their parallel common tangents. ...

MULTIPLE ANSWER QUESTIONS: 1. In ΔOAB where O is origin coordinate of A and rational number. AngleAOB = θ, coordinate of B always irrational then θ can take value (A) 30° (B) 15° (C) 60° (D) 45° (2) If θ1, θ2, θ3 an ...

determine teh value of r>1 such that \int_{0}^{\infty }{\frac{dx }{(1+x^{r})^{r}}}=1 ...

\\1)\: solve\: \frac{x-a}{b}+\frac{x-b}{a}=\frac{b}{x-a}+\frac{a}{x-b}\\ \:\:2)\: if\:f(n)=\sum_{r=1}^{n}\frac{1}{r}...then \:show \:that\:\frac{n}{2}<f(2^n-1)<n\\ 3)\:if\:(1+x)^n=\sum_{r=0}^{n}^{n}C_{r}x^r\:find \:teh\ ...

chalo let me post some graph doubts here... how to draw the graph of f(x) such that f(x)=1/g(x) chalo lets take the example of y=1/sin x ...

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If 4x-y is divisible by 3, prove that 4x2+7xy-2y2 is divisible by 9. ...

A) 3 dice are rolled and 3 numbers a,b,c are selected, then probability that the 3 planes : ax+by+cz=0 bx+cy+az=0 cx+ay+bz=0 form 1) exactly 1 line is 0 2) a point is 105/108 3) a prism is 0 4) whole space is 1 (Multiple Choi ...

1)If a>0>b>c & the system of eqn ax+by+cz,bx+cy+az=0,cx+ay+bz=0 has a non trivial soln,then find nature of roots of (b+c)t2+(c+a)t+a+b=0 . From first 3 eqns i got a+b+c=0 what next ?? 2) Let (1+x)2n=a0+a1x+....+a2nx2 ...

If a triangle is inscribed in a rectangular hyperbola,the locus of its orthocentre is ? ...

*Image* latex not working here....thats why posted like this.. ...

A request to all who spend time here...especially the seniors....can u please start a thread on graphs...how to draw them using and without using calculus ,......., asymptotes and everything....for THE BEGINNERS ? ...

1.ABCD is a rectangle with A(-1,2) B(3,7) and AB:BC=4:3.If distance of the origin from the centre of the rectangle is d,then find [d]. ...

(1) Let I=\int_{1/2}^{2}{\frac{ln(t)}{1+t^{n}}}dt , find the sign of Integral for different values of n\varepsilon N +\left\{0 \right\} ...

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In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspapers is : a. At least 30 b. At most 20 c. Exactly 25 d. None of the above ...

1. lim x->0 (1+sin x) - (1- sin x) /x 2. lim x->0 xcos x -sin x/x2sin x ...

(1) Find (+ve) integral solution of the equation 3x^{2}-2xy+7y^{2}=0 (2) find Integral solution of the equation x^{3}+11^{3}=y^{3} in 1st quadrant ...

1. Is cos x2 a periodic function ? 2. Find the fundamental period of the function 2cos x-Ï€/3 ...

The integral values of a for which the quadratic equation (x – a)(x – 10) + 1 = 0 has integral roots are a. -1, 3 b. 2, 3 c. 12, 8 d. -8, -12 ...

i m trying to learn to draw graphs , and i m facing a few problems with it. we kno how to draw graph of a quadratic , and we can also draw graph of a few simple trigo functions but when there is a situation such that the func ...

Find the domain of the function: f(x)= cos (sin x) + sin-1 1+x2/2x ...