Recently Active Mathematics Questions

Ques1) Number of degrees in the smallest positive angle x such that 8 sinx cos 5 x - 8 sin5 x cosx =1, is (a) 5 degree (b) 7.5 degree (c) 10 degree (d) 15 degree Ques2) The sides of a triangle are 6 and 8 and the angle \theta ...

show that n! < {(n+1)/2}^2 for n belonging to N ...

Positive real numbers are arranged in the form: 1 3 6 10 15 ... 2 5 9 14 ... 4 8 13 ... 7 12 ... 11 ... Find the number of the line and column where the number 2002 stays. EDITED: THANKS MRUNAL. ...

A NORMAL TO A PARABOLA Y2=4AX MAKES ANGLE θ WITH X AXIS WHERE TANθ=2 IF IT CUTS THE CURVE AGAIN AT AN ANGLE θ1 THEN θ1EQUALS A. 45 B. 30 C. 60 D. 90 IF X+4Y=14 IS A NORMAL TO CURVE Y2=αX3-βAT (2,3) THEN VALUE OF α+β I ...

TEST THE CONVERGENCE OF THE SERIES ..... show stepwise : *Image* ...

Lt x→∞ nCx(m/n)x(1-m/n)n-x =? ...

The largest value of 2x3 -3x2-12x+5 for -2≤x≤4 occurs at x equals A. -2 B. -1 C. 2 D. 4 By normal maxima calculation im getting B,but ans given is D. ...

A train running from station A to station B,has 11 stations in,between as halts.Nine persons enter the train during the journey with nine different tickets of the same class. I)The total no of different sort of available tick ...

By mistake it was in article :P What is the remainder when (32008+72008+2008) is divided by 29 He knows the answer but want the solution... ...

Q.1) If A and B represent complex number z1 and z2 in the argand plane,then how r the slope and complex slope of AB is defined ? To find the line perpendicular to a line: az' + a'z + b = 0, is the slope or the complex slope c ...

Find maximum value of 1/b+c +b/c+a +c/a+b for a,b,c≥0 ...

Ques1) Find the point of inflexon of (x-5)55 (x-6)66. Ques2) Show that the extremum value of the function f(x) = (Sin-1 x) 3 + (cos-1 x)3 (-1<x<1) is \pi 2/ 32. Ques3) Find the least value of the expression 2log10x - lo ...

Suppose that f is differentiable function with property f(x+y)=f(x)+f(y)+x2y and Lt x→0 f(x)/x =0 Find the value of f'(10) ...

Suppose tr=12+22+........+r2 let t1+t2+........+tn=1/12 n(n+1)(n+2)k Find value of k , ...

Let an=1111..............11 n times The remainder when a124 is divided by 271 is ?? ...

Q1 Let an=∫(1-cos2nx)/1-cos2x ,then a1,a2,a3 ...are in where limits of integration are 0 to π/2 Q2 Let an=∫sin2nx/sinx dx for all n≥0 and bn=an-an-1 for all n≥1.The sequence b1,b2,b3.. is in ??? where limits of integ ...

Ques1) The first term of an A.P of conseutive integers is P2 +1. Show that the sum of (2P+1) terms of this series can be expressed as { P3 + (P+1) 3 } . Ques2) Show that the number of numbers lying between 100 and 500 are div ...

lim x→0 (1cosec2x+2cosec2x+3cosec2x+....Ncosec2x)sin2x=????? ...

Could you please tell how to find the period of the following function? f(x) = cos(2tanx)/2 + cos(2cotx)/2 ...

1)Consider a differentiable function f:R→R which satisfies f2(x/ 2 )=f(x) for all x belongs R and f(1)=2. Find f(x)? 2)Let f be a real function whose derivatives upto third order exist and for some pair a,b belongs R,a<b ...

For any integer k>1, prove that there is exactly one power of 2 having exactly k digits with leading digit 1 (when written in decimal system). ...

Find the integral solutions to the equations [x][y]=x+y. Show that all the non-integral solutions lie on exactly two lines. What are these lines?? ...

I want to toast Nishant Sir for opening a section for 9th-10th students. It is a superb move and should prove pretty useful I had proposed some such thing in goiit.com and it was totally ignored. The Olympiad section is anywa ...

In which type of questions, is it more useful to take a-3d, a-d, a+d, a+3d over a, a+d, a+2, a+3d same with a-d, a, a+d over a, a+d, a+2d same with a/r, a, ar or a/r3, a/r, ar, ar3 Not a thing that is out of the world but I t ...

is der ne function possible which has f'(x)=0 but it is not a constant function. ...

The equation xy-x+2y-6=0 is translated into xy=c.Find c. Explain how also :) Thanks ...

If (5,12) and (24,7) are the focii of a conic passing through the origin then the eccentricity of the conic is what? ...

find the following limit LIMn→∞{(33-8)(43-8)(53-8).....(n3-8)}/{(33+8)(43+8)(53+8).......(n3+8)} ...

f(x)-f(y)<|x-y|7 for all reals x,y....... Is f(x) a const. function ? Well - I've solved it, but the process is not a routine type, wanna see how many can our titans come up with..... ...

∫secx/{(sin(x+a)+sinx}^0.5 ...