Recently Active Mathematics Questions

if the equation x4+ax3+bx2+cx+d=0 has four real positive roots then, a) ac >= 16d b) b2 >= 36d c) ac >= 16b d) b2 >= 36c ...

∫dx/1+4cot2x→limit of integarl =0 to pi/2 why not to convert in tan2x? ...

A tower subtends angle x° at a point A at its base plane. If the angle of depression of the foot of the tower at a point B at b height above A is y°, then the height of the tower is ans : B tan x° cot y° DIAGRAM SHALL B E ...

may be the dumbest question one can give in arithmetic progresions Let a,b,c,d be four distinct positive integers in arithmetic progression. Prove that abcd is not a perfect square. ...

n balls are picked, one by one from four urns each containing n identical balls of green, red, white and blue colours. The number of ways, when no two consecutive pickings are from same urn and balls of all the colours are pi ...

MULTIPLE CORRECT ANSWER TYPE Which of the following is true (mn!)^2 is divisible by a) (m!)^(m+1)*(n!)^(n+1) b) (m!)^n * (n!)^m c) (n!)^n * (m!)^m substituting values n gettin ans is pretty easi here i wud like 2 kno da meth ...

If f (x) is continuous and g (x) is discontinuous at x = a are then f (x) +/-- g (x) is discontinuous at x = a now is this always true or depends on the case??? i'll give an eg. f(x) = 1/x ; g(x) = 1/x ; h(x) = f(x) - g(x); t ...

Q) Integrate ((1/(logx))-1/(logx)2)dx ...

Consider a system of linear eqn in 3 variables: a1x+b1y+c1z=d1 a2x+b2y+c2z=d2 a3x+b3y+c2z=d3 The system can be expressed by matrix eqn a1 b1 c1 x d1 a2 b2 c2 y = d2 a3 b3 c3 z d3 If A is non singular matrix i.e detA≠0,then ...

Sinx=y.Sin(x+a)......... Prove that dy/dx=Sinx/Sin2(x+a) ...

sqrt ( x4+1 x2+1) ...

1-x2 + 1-y2 =a(x-y) Then Prove that dy/dx= 1-y2/1-x2 ...

Q) 0∫1 log[(1/x)-1)dx ...

If n/7,nεN is anon terminating and recurring decimal rational number.After decimal stage , digits start repeating groups continuously.If smallest such group has r digits,the Maximum calue of r is _____ ...

no of planes that are equidistant from four non-coplanar points is : a) 3 b) 4 c) 7 d) 9. visualised the situation and answered... but someone give me a 'nice' method ... in the sence a 'way' to actually 'solve' ... ...

consider a triangle AOB in the x-y plane where A(1,0,0) , B(0,2,0) , O(0,0,0). the new position of O , when triangl is rotated about side AB by 90° can be ... a) 4/5,3/5,2/√5 b)-3/5,√2/5,2/√5 c) 4/5,2/5,2/ 5 d) 4/5,2/5 ...

*Image* try this one ...

Don't want soln or any hint just the answer.. If the roots of the equation ax2+cx+c=0 be in ratio p:q then.... p/q + q/p + c/a =? ...

limits 0 to 1 2 (tan-1x )2 is this solvable. ...

If F(x) = (1/ x2) , integrate∫0x ( 4 t2 - 2 F '(x) ) dt prove that F'(4) = 32/9.. ...

1. xsinx dx 1+cos2x 2. (x-1)(x-2)(x-3 dx ...

0 to 2pi ecosxcosx(sinx) ans is 2pi . I want the steps. ...

Consider the points A≡(0,1) and B≡(2,0) .let P be a point on the line 4x+3y+9=0. coordinates of the point 'P' such that |PA-PB| is maximum, are ? ...

limits -2 to 2 integrate min { x - [x] , - x - [x] } dx [] denotes greatest integer function ...

integrate: (cos5x + cos4x)/(1 - 2cos3x) ...

(x3m + x2m + xm) (2x2m + 3xm + 6)1/m dx, x>0 m belongs to N. ...

integrate [ a+c] to [b+c] f(x)dx ...

Can anyone give an example of integration by differentiation ...

Let a,b,c be natural numbers and the quadratic equation ax2-bx+c=0 have two distinct roots lying in the interval (0,1)... Now.. a) the least value of a b) the least value of b c) the least value of c [7] ...

We have a quadrilateral ABCD. Let E be the point of intersection of the lines AB and CD. Let F be the point of intersection of the lines AD and BC . Prove the following facts: a) The midpoints of the segments AC,BD, EF, are c ...