Recently Active Mathematics Questions

A,B,C ARE IN H.P THN A/B+C , B/C+A C/A+B IN ...

IF A,B,C,D AND P ARE DIFF REAL NO. SUCH THAT (A2+B2+C2)P2-2P(AB+BC+CD)+B2+C2+D2<=0 THEN A,B,C,D AREIN A.P G.P H.P NONE ...

Π/2 statement1) ∫ sin2kxcosxdx=Π/2 ;kε I+ 0 statement2) sin2kx/sinx=2[cosx+cos3x+..........+cos(2k-1)x] are both the statements true if yes then is statement 2 reason of 1 ...

wats the period of sin(cosx)+cos(sinx) ...

imagine that Sleeping Beauty volunteers to undergo the following experiment. On Sunday she is given a drug that sends her to sleep. A fair coin is then tossed just once in the course of the experiment to determine which exper ...

Suppose you're on a game show and you're given the choice of three doors. Behind one door is a car; behind the others, goats [that is, booby prizes]. The car and the goats were placed randomly behind the doors before ...

A triange has sides a,b,c and altitudes opp. to these sides h1,h2,h3 resp. The max. value of a2/h12+b2/h22+c2/h32 = ? ...

Find all the values of m for which equation (x2+x+1)2-(m-3)(x2+x+1)+m=0 (where m is a rel parameter) will have real roots ...

∫{sin2x}/{(cos4x)+(sin4x)}dx Pls post full solution [1] ...

y2+x2=R2 and k=1/R,then k is equal to a)IyI/ 1+(y')2 b)Iy''I/ [1+(y')2]3 c)2Iy"I/ 1+(y')2 d)Iy"I/2 (1+(y')2)3 also tell hw to solve ...

Values of 'x' satisfying x2logx=10x2 are ...

*Image* *Image* ...

At the banquet of a large conference 'n' people hang their coats on the coat-rack as they enter.At the end of the night,they leave in a drunken stupor,each one randomly putting on a coat without checking that it's ...

draw the graph of 4≤ x2+y2 ≤ 2(lxl + lyl) ...

If a,b,c,d are the roots of eq. x4+P1x3+P2x2+P3x+P4 =0,then (1+a2)(1+b2)(1+c2)(1+d2) = ? ...

∫sin(x-π/6)sin(2x-π/3)sin(3x-π/2)sin(4x-2π/3)sin(x-5π/6)dx = ? ...

if f(x) = tan2[pi x/(n2-5n+8)] + cot [(n+m)pi x] (n ε N , m ε Q) is a periodic function with '2a' as its fundamental period then find the set of values of 'm' ? ...

If y = f(x) =(x+2)/(x-1) , then which of the following is correct ? (a) x = f(y) (b) f(1) = 3 (c) y increases with x for x<1 (d) f is a rational function of x ...

If a,b,c,d are the roots of the equation x4+P1x2+P2x2+P3x+P4=0 then (1+a2)(1+b2)(1+c2)(1+d2)= *Image* *Image* *Image* ...

FIND I I=∫ (x2.tan-1x)/(1+x2)3/2 dx ...

A bag contains n white balls & n red balls.Pairs of balls are drawn without replacement until the bag is empty.Find the probability that each pair consists of balls of diff colours. ...

*Image* ...

*Image* ...

*Image* ...

let y=f(x) and y=g(x) be two continuos functions satisfying f(x+y) =f(x) +f(y) - 8xy for all x,y ε R and g(x+y)=g(x) + g(y) +3xy(x+y) for all x,y εR also f'(0)=8 and g'(0)=-4 then find f(x) a ...

The least value of P for which the two arg(z) and /z - 2√3i / = P intersect is _? ...

let f(x) ={-1 + sin (k1pie x) } , x is rational {1 + cos (k2pie x) } , x is irrational if f(x) is periodic function , then which of the following is correct (a) either k1 , k2 ε rational or k1 , k2 ε irrational (b) k1 , ...

Find the locus of the foot of the perpendicular drawn from the point (0,-c) and c>0 to the normals to the parabola x2=4ay. Find the locus of midpoint of chord of the parabola y2=4ax such that normals at their extre ...

[7] Letters of the word ASSASSIN are arranged randomly and one is selected. Find the prob that in the selected word no two S are together. [7] ...

two circles with radii r1 and r2, r1>r2≥2,touch each othere externally.Find angle between direct common tangents........... ...