Recently Active Mathematics Questions

if 3a + 2b + c =7 find the minimum value of 100 (a2 + b2 + c2) ? ...

Does the angle bisector of the BASE angle in an ISOSCELES triangle pass thru the IN-centre of the circle??? ...

here i will post the doubts of my tests and the questions in which i am struck *Image* *Image* ...

If the greatest value of the term independent of x in expansion of (xsinp + x-1cosp)10 is achieved at P=θ... then the locus of point from which pair of tangents be drawn to x2+y2=4 including an angle θ is A) x2+y2= 4(4+2√ ...

\sum_{n=1}^{2008}\frac{{\sqrt{n^{4}+2n^{3}+3n^{2}+2n+1}}}{n(n+1)} = A) 2008 + 2008/2009 B) 2007 + 2008/2009 C) 2008 + 2007/2009 D) 2008 + 2007/2008 ...

For f continuous on \mathbb{R} , find the limit: \lim_{h\to 0}\dfrac{1}{h}\int_a^b \big(f(x+h)-f(x)\big) \mathrm{d}x Remember, f has been said only to be continuous and not differentiable. (rajat, dipanjan, metal: wait for at ...

1. FIND ALL VAlUES OF m for which mx2 + (m-3)x + 1 <0 for atleast one positive real x ...

Q1 \lim_{x\rightarrow 1}\frac{x^{x}-1}{xlogx}-\lim_{x\rightarrow 0}\frac{log(1-3x)}{x} ...

1.) there are four machines and it is known that exactly two of them are faulty. they are tested , one by one , in a random order till both the faulty machines are identified. then the probability that only two tests are need ...

Let ABCD be a square of side of length 2 units . C2 is the circle through vertices A,B,C,D and C1 is the circle touching all the sides of the square ABCD . L is a line through A then 1) If P is a point on C1 And Q is another ...

Q1 FInd number of values of z for which ez=0 Q2 Number of values of z for which sinz=0 Q3 Number of values of z for which cosz=0 Q4 What is solution set of sin(iy)=0 ...

Inscribed in a circle of radius R is square,a circle is inscribed in the square,a new square in the circle and so on for n times.... Q1 Sum of areas of all circles Q2Limit of sum of areas of all squares as n→∞ Q3The limit ...

In how many wayscan the letters of the word PERMUTATIONS be arranged if there are always 4 letters between P and S ? ...

If \alpha =e^{2i\pi/11 } and f(x)=5+\sum_{K=1}^{60}{A_K{x^{K}}} then find value of 100\sum_{r=0}^{10}{f(\alpha ^{r}x}) ...

lim ax+bx+cx 2/x x→0 ______ 3 ...

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Can someone please give me the important properties of limits??? ...

if x+Ay=1 and x=a(≠1) are the equations of the hypotenuse and a side of a right angled isosceles triangle then the value of A is a)+1 or-1 b)+aor-a c)+1/a or -1/a d)+2or-2 ...

i think previous question on this date was bit toughh so giving a simpler one lim n.sin 1. sin2 . sin3. sin4 . sin5............... sin n n→∞ ...

If inside a big circle exactly 24 small circles each of radius 2 can be drawn in such a way that each small circle touches the big circle and also touch both its adjacent small circles. Then the radius of the big circle is... ...

What is (-1)2/3? ...

Let 2x^2+y^2-3xy=0 be the eqn of a pair of tangents from the origin to a circle of radius 3 ,with centre in first quadrant,find the distance from O to the pt of contacts ...

For the circle x^2+y^2=r^2 ,find value of r for which area enclosed by tangents from P(6,8) and its chord of contact is maximum ANS : 5 units ...

These are all Kaymant (Anant) Sir's questions Q. Suppose f(x) be a real valued function defined for all x≥1 satisfying f(1) = 1 and f ' (x) = 1/[x2 + f(x)2] Prove that the limit of f(x) as x goes to infinity exists and is l ...

Let\ f:R^{+}\rightarrow R\ be\ a\ strictly\ increasing\ function\ such\ that\ f(x)>-\frac{1}{x}\forallx>0\\ And\ also\ f(x).f\left(f(x)+\frac{1}{x}\right)=1\\ \\ Match\ the\ following:\\ \\ f(1)=\\ f_{max}x\ in\ [1,2]=\ ...

BINOMIAL THEOREM : *Image* ANS : (2mn -1)/2nm(2^n - 1) ...

1) A ray of light is coming along the line y = b from the positive direction of x axis and strikes a concave mirror whose intersection with xy plane is a parabola y2 = 4ax . If a and b are positive, then the equation of the r ...

THIS IS IN REFERENCE WITH http://targetiit.com/iit_jee_forum/posts/help_3741.html AND MANY SIMILAR POSTS LAST TWO DIGITS OF 3100 3100 = (310)10 = ((32)5)10 (32)5 = 9x9x9x9x9 = 729x9x9// WE TAKE ONLY LAST 2 DIGITS OF 729 // AN ...

C1 andC2 aretwo concentric circles the radius of C2 being twice of C1 from a point P on C2, tangents PA andPB are drawn to C1. Prove that the centroid of the triangle PAB lies on C1 ...

Let C1 and C2 be two cirlces with C2 lying inside C1. A circle C lying inside C1touces C1 internally and C2 externally. Identify the locus of the center of C ...