Recently Active Mathematics Questions

If a and b are +ve integers.......find the probabilty that \frac{1}{2}(a^{2}+b^{2}) is a +ve integer ...

(1) The sum of X-coordinate of the point of Intersection of the curves x^{2}=x+y+4 and y^{2}=y-15x+36 in X-Y plane. ...

tanA,tanB,tanc are the roots of the eqn. x3-k2x2-px+2k+1=0,then triangle abc will be a triangle of what nature?explain the ans? ...

how many necklace can be using 8 stones 2- red 3-blue 3-black ...

x=\sum_{n=3}^{100}{\frac{1}{n^2 -4 }} \\ \color{red}then \ find \ [x] my answer is coming out to be -3 ...

Q1. \lim_{n\rightarrow \infty }\sum_{k=0}^{n}{\frac{^nC_{k}}{n^k(k+3)}} Q2. If the roots of the equation ax2+bx+c=0, a>0 are positive and are p and q (p>q) then \lim_{x\rightarrow 1/p^+}\sqrt{\frac{1-cos[2(cx^2+bx+c)]}{ ...

The quadratic polynomial has the following properties : p(x) ≥ 0 for all real no.s , p(!) = 0 & p(2) = 2.Find the value of p(0) + p(3) Ans : 10 (I wan't solution) ...

(1) The maximum value of (\sqrt{-3+4x-x^{2}}+4)^{2}+(x-5)^{2} (where 1\leq x\leq 3 ) (Not by using Trigonometry). ans = 36 ...

If ax2 - bx + c = 0 have two distinct roots lying in the interval (0,1), a, b, c ε N, then prove that log5(abc) ≥ 2. ...

lxl= 1-t2/1+t2 y= 2t/1+t2 tε[-1,1] ...

COMPREHENSION let f(x) and g(x) are two distinct functions such that f(x) is an odd function and g(x) is an even function for all X ε R . Let a function h(x)=f(x) +g(x) is an odd function and φ(x)=f(g(x))+g(f(x)). NOW ANSWE ...

plz solve this one : [1] *Image* q2 try this one also its not my doubt but wanted to share if log(\frac{1}{1+x+x^2 +x^3 }) is expanded on the ascendind powers of x then prove that coefficient of xn in the expansion is \frac{- ...

Q1 x-y=1/3 and cos2(πx)-sin2(πy)=1/2 Find all solns (x,y) Q2 cos(x-y)-2sinx-2siny=3 iff ?? Q3total integral values of n such that sinx(sinx+cosx)=n has atleast one soln Q4 i=1Σn(sinθi+cosθi)≥n. 2 find i=1Σn(tanθi+cot ...

Let p be the product of the non real roots of the eqn x4 - 4x3 + 6x2 - 4x = 2008 where [*] denotes the greatest integer function , then find [P] ...

Multiple Ans QS A parabola of the form y = ax2 + bx + c with a>0 intersects the graph of f(x) = 1/(x2 - 4) No of possible distinct intersections of these graph is (A) 0 (B) 2 (C) 3 (D)4 ...

find the value of x satisfying \int_{0}^{2[x+14]}{\left\{\frac{x}{2} \right\}}dx=\int_{0}^{\left\{x \right\}}{\left[x+14 \right]}dx wer [.] is gif and { } fractional part of x this is an easy one but my ans not matching[2] ...

The values of x for which the equation , 2 sin-1(sin x/2) = x is valid? (A) for all x (B) -1≤x≤1 (C) -∩≤x≤∩ (D) -∩/4≤x≤∩/4 ...

some of my friends are confused with percom so i want all here help them out with theory and problems alike......some are starting now...can nishant bhaiya help??? ...

Nine hundred distinct N-digits numbers are to be formed by using 6,8,and 9 only.The smallest value of N for which this is possible is a) 6 b)7 c)8 d)9 ...

If x = z√(1 - y2) + y√(1 - z2), find the minimum value of (x + y + z)(x - y + z)(x + y - z)(-x + y + z). ...

1) if z1,z2,z3,z4 are roots of equation a0z4+a1z3+a2z2+a3z+a4=0 1) *Image* are also roots of the equation 2)z1 is equal to atleast one of *Image* 3) *Image* are also roots of equation 4) none of these multiple correct please ...

1) Find \lim_{x\rightarrow0}{{\left( \frac{1^{x}+2^{x}+3^{x}+.....+n^{x}}{n}\right)^{1/x}}} 2) Find \lim_{n\rightarrow(infinity)}\frac{1^{k}+2^{k}+3^{k}+........+n^{k}}{n^{k+1}} ...

Find Minimum Value of the expression x2+2y2+2xy+6x+2y is ...

find the value of : *Image* ...

Could someone please solve the questions given below : Evaluate: n-->infinity\sum_{r=1}^{n}\frac{r}{4r^2+1} Prove that if f(x)=lim\, n--->infinity(x^{1/n}-1) then f(xy)=f(x)+f(y) the second questions seems incorrect to ...

p *Image* ...

This is not any biggie.....not my doubt, just wanted to post something after a long time...lol Find all positive solutions of the system of equations.... a+b+c+d=12 abcd=27+Σab ...

A quadrilateral has sides 2,3,9....diagonals are at rt.angles. Find all possible values of the 4th side.... ...

3 > How many quadratic eqn. are possible such that it remains unchanged even after its roots are squared ? ( this is one of my favourite questions ever !!!!!!!!!! ) ...

What is the minimum number of pairwise comparisons needed for identifying the largest, IInd largest & IIIrd largest elements out of 128 objects? ...