Recently Active Mathematics Questions

The probability that a man aged x years will die in a year is p. The probability that out of n men M1, M2, M3, . . . . . . , Mn each aged x years, M will die and be the first to die is a. 1/n2 b. 1-(1-p)n c. 1/n2[1-(1-p)n] d. ...

pls solve it *Image* ...

If f(x)=(x-α)n.g(x) then we always have f(α)=f'(α)=f"(α)=...=fn-1(α) where f(x) and g(x) are polynomial functions.Provided that f(x) has rational coefficients Q1 If f(x) is of deg 4 and touches x axis at ( 3 ,0).Find sum ...

(1) Lim \frac{n}{10^{n+1}}= n-->∞ ...

Q1. The value of ^{100}C_{0}\; ^{200}C_{100} - ^{100}C_{1}\; ^{199}C_{100} + ^{100}C_{2}\; ^{198}C_{100}-^{100}C_{3}\; ^{197}C_{100}+.......+^{100}C_{100}\; ^{100}C_{100} Q2. If \left|az+b\bar{z}+c \right| = \alpha \left|a \r ...

(1) The No. of (+ve) Integral solution of the equation 7x^{2}-2xy+3y^{2}=27 ans = 1 ,2 0, None. I am very sorry for posting wrong question in my previous post. ...

find the conjugate hyperbola of xy-2x-4y+4=0 ...

Q1. 18tan^{16}\frac{\pi }{18} - 816tan^{14}\frac{\pi }{18} + ... - 816tan^{2}\frac{\pi }{18} = _____ Q2. If ABC is a triangle and cot(A/2), cot(B/2), cot(C/2) are in GP, then minimum value of cot(B/2) is _________ Q3. Prove t ...

All the above questions of circles are of Bansal Class assignments. ...

please prove these identities : $ \sin (\frac{\pi}{2m})\sin (\frac{2\pi}{2m})\sin (\frac{3\pi}{2m})\dots\sin (\frac{(m-1)\pi}{2m}) =\frac{\sqrt{m}}{2^{m-1}} $ \sin (\frac{\pi}{4m})\sin (\frac{3\pi}{4m})\sin (\frac{5\pi}{4m})\ ...

In the xy plane the length of the shortest path from (0,0) to (12,16) that does not go inside the circle (x-6)2+(y-8)2=25 is : A) 10√3 B) 10√5 C) 10√3 + 5π/3 D) 10 + 5π Ans: C ...

x2+y2=1....is a circle.. so, y2=1-x2...is a circle.. implies.., y=± 1-x2 ... so what is the graph of y=± 1-x2 (sin x) please help...also point out wether or not the doubt makes any sense... ...

A piece of cheese is located at (12,10) in a co-ordinate plane. A mouse is at (4,-2) and is running up the line y= -5x + 18. At the point (a,b) the mouse starts getting farther from the cheese rather than closer to it. The va ...

The locus of the mid-points of the chords of the circle x2+y2-ax-by=0 which subtend a right angle at (a/2 , b/2) is _____________ . Ans : x2+y2-ax-by+ a2+b2/8 =0 ...

Let f(X) = ∫01 |t - x| tdt. 1) Number of common tangent to curve x2 + y2 = 4 and f(x) (A) 1 (B) 2 (c) 4 (D) infinite ...

Find the value of - *Image* btw...why is latex not working ? ...

(1) find all real values of x,y and z in x^{2}-\left|x \right|=\left|yz \right| .......(1) y^{2}-\left|y \right|=\left|zx \right| ........(2) z^{2}-\left|z \right|=\left|xy \right| ........(3) bhatt sir how can i solve these ...

IF a team of 11 players is to b selected from 8 batsmen..6 bowlers..2 wktkipers..4 all ruonders... 1>NO.of selections wen atmost 1 each of wktkipers n alrnder play? 2>NO.of selections wen 2 particular batsmen dont play ...

a good question for jee aspirants new to this forum...... *Image* suppose an insect (without wings) has to crawl from vertex A to vertex B of the cube of side a shown in the figure then find the minimum distance that the inse ...

Find the number of solutions of the system of equations : {x}+y+[z] = 2.3, [y]+{z}+x = 4.5, {y}+[x]+z=6.2 where {} and [] denote the fractional and greatest integer function respectively. Also find the solutions ...

\int_{0}^{[x]/3}{2^{\left\{3x \right\}}}dx where {} represents fractional part ...

1. if DA=a, AB=b and CB=ka where k>0 and X,Y are the mid pts of DB and AC respt. such that |a|=17 and |XY|=4 then k is a)8/17 b)9/17 c)25/17 d)4/17 2. ax(bxc), b(cxa), cx(axb) are a)linearly dependent b)equal c)parallel d) ...

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Let I= ∫p/20 sinx/x dx then I lies in the interval a) (0,1) b) [0,1] c) [0, 3/2 ] d) [1,2) ...

1) let polynomials A(x),B(x),C(x),if dey exist satisfy for all x *Image* find polynomials A(x),B(x),C(x) 2) Find all (x,y) such that *Image* . ...

Let first line be x = y = z, second line be x=y/2=z/3 and third line is passing through (1, 1, 1). Area of triangle formed by these three lines is √6 unit, and point of intersection of third line with second line is (a, b, ...

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1) Let f(x+y)= f(x).f(y) for all x & y. Given that f(3)=3 & f'(0)= 11.Then f'(3)= ? A) 22 B) 44 C) 33 D) None Assertion-Reason Type - 2) I- The sum or difference of two discontinuos functions may be continuous at a point. II- ...

1> S=1/12+1/22+1/32.......upto ∞ S1=1/12+1/32+1/52.....upto ∞ S2=1-1/22+1/32-1/42......upto ∞ then the value of 486 S1/S2 solution required ...

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