Recently Active Mathematics Questions

dont give me official solm..........i cant understand that,,,,,,and i cant do it myself either.... *Image* ...

find the degree of the following expression: ( 2x2+1 + 2x2-1 )6+ 26[ 2x2+1 + 2x2-1 ]-6 ...

Now can sum1 figure out 4 me Wer does this genral form cumk frm?? Read 14, 15 together..... *Image* *Image* ...

Let f:[0,1]\to\mathbb{R} be continuous such that \int_0^1 f(x)\ \mathrm{d}x=1 Determine the minimum possible value of \int_0^1 (1+x^2)f^2(x)\ \mathrm{d}x Also, determine the function for which this minimum is attained. ...

Let f(x)=x2+bx+c,where b,c \in R . If f(x) is a factor of both x4+6x2+25 and 3x4+4x2+28x+5 , then the least value of f(x) is ...

sinA sinB sin C + cos A cos B=1 then the value of sin C=? ...

let S1, S2......... be the squares such that for each n≥1, the length of a side of Sn equals the length of a diagonal of sn+1. if the length of a side of S1 is 10cm, then for which of the following values of n is the area o ...

Internal bisector of <A of a triangle ABC meets side BC at D. A line drawn through D perpendiuclar to AD intersects the side AC at E and the side AB at F. If a,b,c represent sides of ABC then A) AE is HM Of b and c B) AD=2 ...

if r,s t are prime nos. and p,q,r are +ve integers such dat LCM of p,q is r2t4s2 then the no. of ordered pairs (p,q) is.....patha nahin...y nothin strikes my big head ...

Given an isosceles triangle whose one angle is 120 degree and radius of its incircle is 3 . Then the area of the triangle in square units is: ...

Product of all solutions of the equatrion : tan-1(2x/(x2-1)) + cot-1((x2-1)/2x) = 2pi/3 Ans = 1 ...

Find the maximum attained by \int_0^1 x^2 f(x) - x f^2(x) dx ...

*Image* I have the following doubts . Please give me some idea as to how to approach these kinds of problems . Please do not solve them for me . ...

S1, S2.... be squares such that for each n>=1, the length of the side of Sn equals to the length of the diagonal of Sn+1... If side of S1 is 10 cm, for which of these values of n is the area of Sn less than 1 sq. cm? ...

If CF is the perpendicular from the centre C of the ellipse (x2/49)+(y2/25)=1 on the tangent at any point P, and G is the point where the normal at P meets the minor axis, then what is the value 0f (CF*PG)2 ?????? ...

find the no of functions such that I1=0∫1f(x) dx = 1, I2=0∫1xf(x) dx =a and I3=0∫1x2f(x) dx =a2 is a)1 b)2 c)0 d)infinite plz provide suitable arguments and not stray answers ...

chatle chalte ye sawaal bhj dekhe: q1)the graph of y=f(x) is symmetrical abt the lines x=1 and x=2,then a)f(x+1)=f(x) b)f(x+2)=f(x) c)f(x+3)=f(x) d)none q2)lim x->oo ( (x+5)tan-1(x+5) + (x+1)tan-1(x+1) a)Ï€/2 b)Î c)2Î d)no ...

\int_{0}^{\infty}{\frac{x^{m-1}}{(1+x)^{m+n}}} = k\int_{0}^{\infty}{\frac{x^{n-1}}{(1+x)^{m+n}}} find k ...

Q1 \lim_{n\rightarrow infinity}(\frac{1}{n^{100}}\sum_{r=1}^{n}{r^{99}}) ...

maximum no of sets obtainable frm A and B by applyin sum n differnce operations ...

A box contains n coins,If P(E_i) = k ( i(i+1)) for 1\leq i\leq n , where P(E_i) denotes the probability of the event that i out of n coins are biased, find k ...

find the remainder when 2740 is divided by 12 ...

-2∫3 x x2-1 dx ?? ...

if f(X) = x + 0∫(1xy2+x2y)f(y)dy f(x) has minima at a)x=9/8 b)x=-9/8 c)x=0 d)x=1 ...

if g(x)=1/4 ( f(2x2 - 1)+1/2 f(1-x2 ) ) and f|(x) is an increasing function then g(x) increases on (subjective type) ...

Normals are drawn from the pt P with slopes m_1,m_2,m_3 to the parabola y^2=4x .If Locus of P is a part of the parabola with m_1m_2 = \alpha , find \alpha ...

1) ∫xtanx dx ...

The real numbers x1,x2,x3 satisfying the equation x3-x2+bx+c=0 are in AP find the interval in which b and c lie! ...

\int_{1}^{\infty}{\frac{x^3+3}{x^6(x^2+1)}} = ? ...

S1, S2, S3.... Sn are sums of infinite Geometric series whose first terms are 1,2,3,....n and common ratios are 1/2, 1/3... 1/n+1 respectively then S12+S22+S3.... +Sn2=? ...