Recently Active Mathematics Questions

Q) f(x) = (x+1)(x+2)(x+3)(x+4)+5 , where x belongs to [-6,6]. If the range of d function is [a,b] , where a,b belongs to N. Find the value of a+b ? Q) f(x) = x^135+x^125 - x^115 +x^5 +1 r(x) = x^3 - x when f(x) / r(x) , then ...

If equation xn - nxn-1 + a2xn-2 + a3xn-3 + ......an-1x + (-1)n = 0 has n positive roots, then least value of n for which a2 + a3 is negative, is ? ...

1. \lim_{\theta \rightarrow \frac{\pi}{4}} \frac{\sqrt{2}-cos\theta -sin\theta}{(4\theta-\pi)^{2}} 2. \lim_{x\rightarrow 0}\frac{xtan2x-2xtanx}{(1-cos2x)^{2}} 3. \lim_{x\rightarrow 0}\frac{e^{x}-e^{xcosx}}{(x+sinx)} I want to ...

In shooting competition a man can score 0,2,3,4 or 5 points.Find the number of ways he can score 30 points in 7 shots. ...

Let z be a complex number for which !2zcos@+z2!>1,if !z!<k,then the least positive integral value of k is ? ...

Quadratic equation x2+[a2-5a+b+4]x+b=0 has roots -5 and 1,then nuber of integral values a is:(where[.] denotes the greates integer function) ...

is this true/false 'degree of diff eqn represents no. of family of curves' i think its false pl confirm this ...

How do you prove that (sgn{x})sgn{x} is even, periodic and discontinuous? ...

*Image* ...

*Image* ...

Q) A student attends an exam carrying four sets of question papers , each set carrying m questions with equal marks alloted. To qualify the exam, he needs to get 2m questions correct. In how many ways can he qualify the exam ...

The number of real solutions to the equation a=[ a/2 ]+[ a/3 ]+[ a/5 ] where [.] deonotes the greatest integer function is (A)30 (B)60 (C)45 (D)75 ...

Let Fm be the m-th Fibonacci number given by F1 = F2=1 and Fm+2 = Fm+1 + Fm for all m≥1 Show that summation of C(n,k) = Fm+1 Here the above sum is over all pairs of integers n≥k≥0 with n+ k = m ...

Diffrenciate |x| w.r.t x using first principle. ...

f is a real-valued differentiable function defined on [0,1]. If f(0)=0 and f(1)=1, then prove that there exist distinct points x1,x2 in [0,1] satisfying 1/f'(x1) + 1/f'(x2) = 2 ...

The equation 22x+(a-1)2x+1+a=0 has roots of opposite signs then exhaustive set of values of 'a' is (A)a<0 (B)aE(-1,0) (C)aE(-∞,1/3) (D)aE(0,1/3) ...

what is the rms value of all the factors of 144??i tried but donno how two calculate the sum of factors taken 2 at a time!!!:( ...

Gave my maths board examination today.. it was awesome...!! expecting, 79/80 ... But wanna confirm myself in some questions Q) Two dice are rolled once. FInd the probability of getting such numbers on the two dice, whose prod ...

Two pipes together can fill a reservoir in 12 hours. If one pipe can fill the reservoir 10 hours faster than the other, how many hours will the second pipe take to fill the reservoir? Topic : Quadratic equations ...

Out of 21 tickets marked with numbers 1 to 21,three are drawn at random.Find the probability that the numbers are in A.P. Plz explain this prob also... ...

Find the angle at the vertex of an isosceles triangle of max area for the given length 'l' of the median to 1 of its equal sides. Also find the max area. ...

if there are 2n+1 terms in an AP then prove that the ratio of the sum of odd terms and the sum of even terms is n+1 : n dunno why, but i m not able to prove the result... ...

Can someone please explain the mass point geometry? ...

$Solve for $x$ in $2^x+2^{\frac{1}{x}}=4$. ...

Given 2 real numbers x and y such that 0 ≤ x,y ≤ 2,find the probability that x2 + y2 ≤ 1. ...

A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which ...

6 students line up daily in the morning for boarding a bus to school.Suppose that this process is not broken and the school works for 180 days in a year.After how much time the same arrangement can follow? ...

Using principle of mathematical induction, prove that n5/5 + n3/3 + 7n/15 is a natural number for all n belonging to N. ...

Please explain the A.M-G.M inequality... and its application... yep i m asking u?? ...

1.Find the eqn of straight line of the family (x+y)+k(2x-y+1) which is farthest from (1,-3). (ans:: 15y-6x=7) 2.A line is drawn thru (0,0) intersecting the lines 2x+y-2=0 and x-2y+2=0 @ A and B. then the locus of mid pt of AB ...