Recently Active Mathematics Questions

Find the sum of the series 1/(1*3)+1/(2*4)+1/(3*5)+1/(4*6)+.......+1/(8*10)= ...

We know that ΣnCr*r2= n*2n-1 + n*(n-1)*2n-2 (see "http://www.targetiit.com/discuss/topic/21790/solve-this-binomial-question/" for the proof) Further we can find ΣnCr*r3 = n*2n-1 + 3*n(n-1)*2n-2 + n(n-1)(n-2)*2n-3 However on ...

Find the general formula for: 1k+2k+3k+..........+nk ...

Find the number of solutions of the equation cosx=2tanx in the interval [0,5Ï€] ...

A function f from the set of natural numbers to integers defined by *Image* is ...

If roots of the equation ax2 + bx + c = 0 ; (a, b, c N) are rational nos, then which of the following cannot be true? ...

∫ Sinx/x =?? ...

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand? ...

The value of int_{0}^{2}{{{x}^{left[ {{x}^{2}}+1 ight]}}dx} , where [x] is the greatest integer less than or equal to x is ...

Let {{z}_{1}} and {{z}_{2}} be two non – zero complex numbers such that frac{{{z}_{1}}}{{{z}_{2}}}+frac{{{z}_{2}}}{{{z}_{1}}}=1 , then the origin and points represented by {{z}_{1}} and {{z}_{2}} ...

The value of x for which cos–1(cos 4) > 3x2 – 4x is ...

Find Σ r2*Cr ...

1. There are two figures which are having constant width. Name them ? ...

Find the volume of the biggest right circular cone that can be inscribed in a sphere of radius a=3? Is there a difference between a trapezium and a trapezoid? What is infinity + infinity,infinity * zero?? In a box, there are ...

If a=cos left( frac{2pi }{7} ight)+i,sin left( frac{2pi }{7} ight), then the quadratic equation whose roots are a = a + a2 + a4 and b = a3 + a5 + a6 is ...

Two straight lines 3x + 4y = 5 and 4x – 3y = 15 intersect at point A. Points B and C are chosen on these two lines such that AB = AC then the equation of the line BC passing through (1, 2) with negative slope is ...

(x2-x+1)4 - 6 x2(x2-x+1)2 +5x4= 0 of multiplicity (a)2 (b)3 (c)4 (d)6 ...

The point on y-axis equidistant from the points (3, 2) and (–1, 3) is ...

The normal at the point (3, 4) on a circle cuts the circle at the point ( –1, –2). Then the equation of the circle is ...

If a circle, whose centre is (–1, 1) touches the straight line x + 2y + 12 = 0, then the coordinates of the point of contact are ...

If the lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to a circle, then the radius of the circle is ...

Which of the following conditions is always true for congruent triangles? ...

left[ {frac{1}{4}} ight] + left[ {frac{1}{4} + frac{1}{{200}}} ight] + left[ {frac{1}{4} + frac{1}{{100}}} ight] + .....left[ {frac{1}{4} + frac{{199}}{{200}}} ight] is ...

Vertices of a figure are (– 2, 2); (– 2, – 1); (3, –1); (3, 2), it is a ...

Find the radius of the circle inscribed in the square. *Image* ...

The three points (– 2, 2), (8, – 2) and (– 4, – 3) are the vertices ...

If PSQ is the focal chord of the parabola {{y}^{2}}=8x such that SP=6 . Then the length SQ is ...

If a,b,c ε R are distinct then the condition on a,b,c for which the equation 1/x-a + 1/x-b + 1/x-c + 1/x-b-c-a =0 has real roots is (a)a+b+c≠0,a≠0 (b)a-b-c≠0,a≠0 (c)2a=b+c (d) none of these ...

√(3x2+6x+7) + √(5x2+10x+14) = 4-2x-x2 Find the no of real roots... ...

The number of irrational roots of the equation ?? (x2-3x+1)(x2+3x+2)(x2-9x+20)= -30 ...