Recently Active Mathematics Questions

\hspace{-16}\bf{\int_{0}^{1}x^{2013}.(1-x)^{2014}dx} ...

\hspace{-16}$How can I calculate Cont. and Diff. of $\bf{f(x) = \lim_{n\rightarrow \infty}\bold{\sqrt[2n]{\bold{\sin^{2n}x+\cos^{2n}x}}}}$ ...

advance part 2; ques no. 56.. The least value of k for which 4/sinx + 1/1-sinx = k has a solution between ( 0, π/2 ) . ...

Equation of the line through the point ( 1/2 ,2) and tangent to the parabola y = - x2/2 + 2 and secant to the curve y = 4 - x2 is (A) 2x + 2y - 5 = 0 (B) 2x + 2y - 3 = 0 (C) y-2 = 0 (D) None of these ...

3 burgers,2pizzas and 5 cokes cost 565. now 4 burgers,4 pizzas and 2 cokes cost 310 .then what is the cost of 5 burgers , 4 pizzas and 6 cokes? please show the working along with the answer! ...

Two curves C1 : y = x2 - 3 and C2 : y = kx2, k ε R intersect each other at two different points. The tangent drawn to C2 at one of the points of intersection A(a,y1), (a>0) meets C1 again at B (1, y2) (y1 ≠y2). The valu ...

Advanced 2 Q . 57 part (p) lim(x→0) √(2-2cosx)/2x = ? ...

Given:- k = lim (x→ ∞) [ Σ(k=1 to k=1000){ x + k} m ] / [ x m + 10 1000 ] where m > 101. ...

Prove that sin (nA) = cos n A (n C1 tan A - n C3 tan 3 A + n C5 tan 5 A -............) ...

Reduce to lowest terms, (a2-b2) / ab - (ab-b2) / (ab-a2). ...

Among various properties of continuous, we have ƒ is continuous function on [a,b] and ƒ(a)ƒ(b) < 0, then there exists a point c in (a,b) such that ƒ(x) = 0 equivalently if ƒ is continuous on [a,b] and x ε R is such t ...

sin-1x+sin-1y=2Ï€/3.....then the value of x and y are ???? ...

In a triangle ABC, angleA is greater than angleB and A,B,C are the roots of the equation 3sinx-4sin3x-λ=0.Find the angleC.(0<λ<1) Please show the workout ...

lim (x-> 0) [f(x)+log {1-(1/ef (x))}-log (f(x))]=0. Find f (0). ...

If the points (1, 3) and (5, 1) are two opposite vertices of a rectangle, and other two vertices lie on the line y = 2x + c, then find value of c. ...

The area of a square of side (2x − ay + 3) is A(x) + a2y2 + 2y (2x + 3), where A(x) is a polynomial in the variable x. What is the value of the constant a? ...

If x-a is a factor of x3-a2x+x+2, a =? ...

Find the solution: x - 1 = 1/3 + 1/(2 + 1/(3 + 1/(2 + .....)to ∞ ) ) ...

tan-1x,tan-1y,tan-1z..are in A.P and x,y,z are also in A.P ( y being not equal to 0,1 or -1)then ...... a)x,y,z are in G.P b)x=2y=z c)N.O.T ...

If x2 - yz/a = y2 - zx/b = z2 - xy/c , then prove that: (a + b + c)(x + y + z) = ax + by + cz ...

A,B,C are real values such that A + B + C = 2, A2 + B2 + C2 = 6, A3 + B3 + C3 = 8 then find the value of A4 + B4 + C4 ...

A and B are the roots of the equation x2 - 13x + N = 0 If A - B = 3, what is the value of N? ...

What is the equation of the reflected ray, when the incident ray is given by y = x - 1, and (i) mirror is along x - axis (ii) mirror is rotated by 45° anti-clockwise from x-axis (iii) mirror is along y - axis ...

Solve the inequality: 2x - 3/3x - 7 > 0 ...

One corner of a long rectangular sheet of paper of width 1 foot is folded over so as to reach the opposite edge of length of the crease.What will be the minimum length of the crease. (Please show the workout) ...

Last ball, India needs 4 runs to win. What is the probability of India winning the game? Answer: 1/3 . I can't understand how to calculate it... Thanx in advance... ...

If a2/b + c = b2/a + c = c2/a + b = 1, find 1/1 + a + 1/1 + b + 1/1 + c ...

If a/b+b/a=1,(a≠0,b≠0), then the value of a3+ b3 = ? ...

If (x+2) and (x-2) are factors of ax4 + 2x - 3x2 + bx - 4, then the value of a + b is ...

On dividing x3-3x2+3x+7 by x+1, ax2+bx+c is obtained. What is a+b+c? ...