Recently Active Mathematics Questions

more than one correct Q1 if a,b,c in Ap and a≠b then b-c/a-b= ?? a) 2 b) 3 c)1 d)3 Q2 if x1,x2,x3 are positive and unequal real numbers such that 2x1,2x2,2x3are in gp then find range of ( x1.x3/x22 )1/2 Q3 if if p,q,r in gp ...

If the tangent drawn at a point (t2,2t) on the parabola y2=4x is tha same as the normal drawn at a point(√5cosφ, 2sinφ) in the ellipse 4x2+5y2=20, find the values of t & φ. ...

let a,b,c and d be four distinct integers.....the find the smallest possible value of 4(a^{2}+b^{2}+c^{2}+d^{2})-(a+b+c+d)^{2} ...

1) ___ let P be any moving point on the circle x2+y2-2x=1 AB be the chord of contact of this point wrt the circle x2+y2-2x=0. find the locus of the circumcenter of the traingle CAB(C being the centre of circles) P.S - give an ...

if sinθ = ksin(θ+φ) prove that tan(θ+φ)= sinφ/cosφ - k ...

Q1 \int_{0}^{[x]/3}{\frac{8^x}{2^{[3x]}}}dx where [.] is gint Q2 k ε N and I_k=\int_{-2k\pi}^{2k\pi}{\left|\sin x \right|}[\sin x]dx find \sum_{k=1}^{100}I_k Q3 I=\int_{sin^{-1}\alpha}^{cos^{-1}\alpha}{\frac {sinx}{sinx+cosx ...

Give different ways of finding whether a function is onto or not. ...

Q1. Remainder when the number 111....1 (123 ones) is divided by 271 is Q2. The period of the function such that f(x-1) + f(x+1) = 2 f(x) is Q3. Let S=\sum_{k=1}^{80}{\frac{1}{\sqrt{k}}} . Then [S] equals where [] is GINT Q4. ...

Here β represents beta function Q1 If \int_{0}^{n}{(1-\frac{x}{n})^n}x^{k-1}dx=R.\beta (k,n+1) find R Q2 If \int_{0}^{\infty}{\frac{x^{m-1}}{(1+x)^{m+n}}}dx=k.\int_{0}^{\infty}{\frac{x^{n-1}}{(1+x)^{m+n}}}dx ,find value of k ...

Find the value of cos(Î /14).cos(3Î /14).cos(5Î /14) using complex numbers. ...

a chord of a circle is selected at random whats the probability that the length of the chord would be greater than the radius of the circle ...

prove that : (3+ 3 ) + (3- 3 ) <2 3 ...

f(x) = x3 + x2 + kx + 4 is increasing function and the least positive integral value of k is P1. If the angle between y=\left[\sqrt{1-sin^2x}+\sqrt{1-cos^2x} \right] (where [] represents greatest integer function ) and X- axi ...

how to find the area of a equilateral tiangle inscribed in a circle. and how to find the other end of a diameter if the equation of the diameter is given and one end point is given.plz help!!! ...

Q1 no of six digit nos which have sum of digits as odd integer Q2 find Ak if \frac{m!}{x(x+1)(x+2)..(x+m)}=\sum_{i=1}^{m}{\frac{A_i}{x+i}} Q3 largest two diigt prime number that divides ^{200}C_{100} Q4 no. of natural nos n f ...

1> lim n→∞ ( xn/n!) 2> lim n→∞ n2(x1/n - x1/(n+1)) also say the method ...

do there exist 1 000 000 positive integers such that the sum of any collection of these integers is never a perfect square. ...

find all real solutions of the system (x+y)^{3}=z\, ,(y+z)^{3}=x\, ,(z+x)^{3}=y ...

Q. Which of the following statements is true? (a) e3 > 3e (b) e2 > 2e (c) epi > pie (d) epi > pie/2 not my doubt :) ...

FIND THE VALUE OF THE LIMIT AND SAY THE PROCEDURE lim n→∞ 1/2 tan(x/2)+1/22 tan(x/22)+1/23 tan(x/23).........+1/2n tan(x/2n) ...

Lim x→0 (1/x2) - cotx ...

let 3 nos are removed from the set{2,22,23,24,.......2n} the GM of remaining nos is 237/5.........find the value of n partially a doubt :P want to confirm the ans ...

FIND THE VALUE OF THE LIMIT AND SAY THE PROCEDURE lim n→∞ 1/2 tan(x/2)+1/22 tan(x/22)+1/23 tan(x/23).........+1/2n tan(x/2n) ...

From the point (2, 5) rays of light are sent at 600 with the line 2x + y = 1. Find the equations of lines of reflected rays if the rays reflect from 2x + y = 1. ...

*Image* Suppose ABC is an equilateral triangle BD/BC = 1/3 CE/CA = 1/3 AF/AB = 1/3 find the area of the shaded triangle divided by the area of triangle ABC. ...

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? ...

though may be easy....but not getting[2] if x_{1}^{2}+x_{2}^{2}+x_{3}^{2}........x_{20}^{2}=400 y_{1}^{2}+y_{2}^{2}+y_{3}^{2}........y_{20}^{2}=900 find \frac{x_{1}}{y_{1}}+\frac{x_{2}}{y_{2}}+\frac{x_{3}}{y_{3}}+...........\ ...

It is not at all hard , ( not only from the view point of sirs ) , so try this ---- 1 > Let a , b , c, d , e …… be the positive divisors of “ n “ except n and 1 . Prove that --------- ( 1 / a ) + ( 1 / b ) + ( 1 / ...

Vectors coincide with the edges of an arbitrary tetrahedron.Is it possible for the sum of these 6 vectors to equal the zero vector? ...

SO atlast after toiling for hours i finally post this question here.... "In how many ways can a total of 1001 be made from numbers 1-100 without repeating any number" remember-using all numbers is not necessary but no number ...