Recently Active Mathematics Questions

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Five pirates and a monkey are shipwrecked on an island. The pirates have collected a pile of coconuts which they plan to divide equally among themselves the next morning. Not trusting the others, one pirate wakes up during th ...

the transformed eqn of 3x2+3y2+2xy=2 when the co ordinate axes are rotated through an angle of 45 a)x2+2y2=1 b)2x2+y2=1 c)x2+y2=1 d)x2+3y2=1 actually i don t know the basic approach to such sum .so plzz explain ...

Q A=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+................+\frac{1}{\sqrt{10000}} Then find [A] where [] represents GINT ...

If f(x)=\frac{xln(1+sinx)}{ln(1+sin^{2}x)},x\neq 0 = 0, x = 0 Then the function (A) has an irremovable discontinuity at x = 0 (B) has a removable discontinuity at x = 0 (C) is continuous but not differentiable at x = 0 (D) is ...

does the auxillary circle of ellipse is for specific ellipse or it can be the auxillary circle for more than one ellipse ...

let f(x) be a polynomial of degree 5 and with leading coefficient 2004 . suppose further , that f(1)= 1,f(2)=3,f(3)=5,f(4)=7 ,f(9)=9. then the value of f(6) is: a.120351 b.240591 c.100881 d.240491 i know we have 5 unknowns an ...

What is the remainder when 82n-(62)2n+1 is divided by 9 I got the answer as 7(just substituted ) Is it rite?? ...

ques 1. Number of points where y=log(ax2+2b|x|+c) x2 is not defined where b2=ac and b<0 and c>1 are? ques 2. If f(x)=2x+|x|, g(x)=1/3(2x-|x|) and h(x)=f(g(x)), then the domain of sin-1(h(h(h(........h(h(x).....))) is? ( ...

If β is a root of the eqn--- zn + 2zn-1 +3zn-2+18n + 12=0 which lies inside the circle |z|<=1 . Then 3|β| > a.2 b.1 c.3 d.0 ...

Found somewhere.. very good problem, check how trivially you can give answer..... Is there an infinite matrix Amn such that limn→∞ amn=0 for every m and limm→∞ amn=1 for every n ? ...

Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. the values of m and n respectively are_____________ ? show me the sol ...

100 - 100 --------------- = ??? 100-100 any studs trying dis sum??plz think hatke!!!! ...

\frac{x^{4}}{(x-1) (x+1)^{2}} = (x-1)+ \frac{2x^{2}-1}{(x-1)(x+1)^{2}} [3] please show the divison process .. when num was divided by denom.. got the 2nd step.. pls show step wise how it occured ...

ok lets have sum fun in number thoery with some questions. here is first one 1] let x and y be positive integers such that xy divides x^{2}+y^{2}+1 . show that \frac{x^{2}+y^{2}+1}{xy}=3 ...

Find the number of quadratic polynomials ax^2+bx+c which satisfy the following simultaneously: (a) a,b,c are distinct; (b) a,b,c\in \left\{ 1,2,3,4.............. 2009\right\} ; (c) (x+1) divides ax^2+bx+c ...

Find all positive integral solutions (a,b,c) to the equation (a+1)(b+1)(c+1)=2(abc + 1) ...

a survey shows that 63% indians like cheese and 76% like apples.% of people who like both is a)39 b)63 c)[39,63] d)none ...

a particle has 2 velocities of eqaul magnitude inclined to ecah othr at an angle @ if one of them is halved the angle betwn d othr and the original resultant velocity is bisected by d new resulatnt then @ is ??? ...

show that the least perimeter of an isosceles triangle in which a circle of radius 'r' can be inscribed is 6√3r...???? ...

If a, b, c are in A.P. p, q, r are in H.P. and ap, bq, cr are in G.P. then(p/r)+(r/p) is equal to (A) (a/c)+(c/a) (B) (a/c)-(c/a) (C) (b/q)+(q/b) (D) (b/q)-(q/b) ...

If f(x) = sin2x + sin2 (x+Î /3) + cosx . cos (x + Î /3) and g(5/4) = 1 , then: a. f(Î /12) = 5/4 b. gof (Î /10) = 1 c. gof is a constant function d. fog is a constant function ...

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u = √a2cos2@ +b2sin2@ + √a2sin2@ +b2cos2@ then the difference b/w max and min values of u2is ? ...

If a,b,c are in G.P with common ration r,the sum of the ordinates of the points of intersection of line ax+by+c=0 and the curve x+2y2=0 is (a)-r2/2 (b)-r/2 (c)r/2 (d)r2/2 ...

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let p be a statement '' x is an irrational number '' q be a statement '' y is a trancedental number'' and r be the statement '' x is rational iff y is trancedental number assertion : r is equivalent to either p or q reason :r ...

a pile of n pebbles is placed in a vertical coloumn. this configuration is modified according to the following rules. a pebble can be moved if it is at the top of the coloumn which contains atleast 2 more pebbles than the col ...

normal to a curve at x,y meets y=0 at a point if the distance of this point from origin is double the x coordinate of point then curve is? ...

in expansion of 1/(1-ax)(1-bx) = a0 + a1x +... an then wat is an? ...