Recently Active Mathematics Questions

∫ (cos2x/sin2x) ...

If ABCD is cyclic quadrilateral, show that AC . BD = AB . CD + BC . AD ...

post different methods to find if 22051946 is a perfect square . at least 5 shorter methods ...

\texttt{find the domain of } \sqrt{2\left\{x \right\}^2 -3\left\{x \right\}+1} where {x} is fractional part dbt 2.given \left[x \right]+ \left[x+\frac{1}{n} \right]+ \left[x+ \frac{2}{n} \right]+...\left[x+ \frac{n-1}{n} \rig ...

\mathrm{f(x)}=(1+2\cos x)(1+2\cos 2x)(1+2\cos 4x)........(1+2\cos 32x) then find \mathrm{find \ \ f(\frac{2\pi}{13})} for practice ...

plz solve 1) \int_{0}^{\infty}{\frac{1}{(x^2+a^2)(x^2+b^2)}}dx 2) \int_{0}^{\pi}{log(1-6cosx+9)}dx 3) \int_{0}^{1}{\frac{x^{a-1}-x^{-a}}{(1+x)logx}}dx ...

(1) find value of x in | | | |x| - 2| - 2|- 2| = | | | |x| - 3| - 3|- 3| where | x | denote Modulus function. (2) find real solution of the equation [x]*{x} = x. { } = fractional part function. [ ] = Integer part function. ...

How many odd integers from 1000 to 8000 have distinct digits a)2520 b)1736 c)1680 d)1920 ...

*Image* which theorem is this based on? ...

x=1+a+a2+a3+...to infinity.(|a|<1) y=1+b+b2+...to infinity.(|b|<1) Prove that 1+ab+a2b2+a3b3+...to infinity=xy/x+y-1 ...

how to find the sum of the series- (1)x2+x4+x6+....+x2n (2)1/x2+1/x4+...1/x2n. Please tell in a proper stepwise manner. ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

Prove that the sum of the homogeneous products of n dimensions which can be formed of the letters a,b,c and their power is *Image* ...

1.FIND \left(1+\frac{1}{3} \right)\left(1+\frac{1}{3^{2}} \right)\left(1+\frac{1}{3^{3}} \right)..... 2.COEFFICIENT OF x98 in \left(x-1 \right)\left(x-2 \right)\left(x-3 \right)......\left(x-100 \right) 3.THE SERIES OF NATURA ...

some questions for bitsat practice Q-1 \texttt{let x,y be selected from SET}\left\{1,2,3\cdots15 \right\}\\ what is the probaility that x^2-y^2 is divisible by 5 Q-2 find \sum_{1}^{16}{\frac{n^4}{4n^2-1}} ...

Find the limit(x→π/2) (sinx)tanx ...

find sum of max. and min. value of sin-1(2x) +cos-1(2x)+sex-1(2x) ...

If a2 , b2 , c2 in a ΔABC are in A.P. Prove that cot A, cot B and cot C are also in A.P. ...

Let us define two functions f (x) = ax2 + bx + c; a, b, c ∈ R & a ≠0 g (x) = dx2 + ex + f; d, e, f ∈ R & d ≠0 If both the equations has imaginary roots and real part of complex roots of both equation f(x) = 0 and g(x) ...

A person writes letters to 4 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that : (i) atleast two of them are in the wrong envelopes (ii) all the letters are ...

let ABC be an acute angled triangle whose orthocentre at H. altitude from A is produced to meet circumcircle of the triangle ABC at D. then the distance HD is.....?? ...

suppose a and b are real numbers such that the roots of the cubic equation ax^3-x^2+bx-1 =0 are all positive real numbers. Prove that: (i) 0<3ab\le1 and (ii) b\ge \sqrt{3} ...

If 12cot^3@ - 31cosec@ + 32= 0 then find sine@ @= theta ...

Lt [16-16cos(10 cos x)]/x4 x→o ...

*Image* which theorem has been used to solve this question ? I have never studied this in my NCERT. ...

Differentiate with respect to x, sec-1 x+1/x-1 +sin-1 x-1/x+1 ...

f[x]= [2Ï€-3]3 +2x-cos x Find.. ddxf-1[x]=? at x=Ï€ Note-[x] is not any greatest integer func.,just my keyboard wasn't working. ...

1)∫ sin x dx ...

A very simple one... specially the 2nd one... a) if x+y+z=0, x3+y3+z3=3xyz b) Prove that if x, y, z are positive, x3+y3+z3≥3xyz ...

lim (xy-yx)/(xx-yy) x→y ...