Recently Active Mathematics Questions

∫(sin8x - cos8x)/(1-2sin2xcos2x) ...

Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find E(X). ...

∫1/(x2(x4+1)) ...

probablity misc exercise q11..... in a game a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown.a man decides to throw a die thrice but to quit as soon as he gets a six.Find expected ...

very small doubt from ncert its from misc exercis last question Q number of binary operations on set {a,b} is?????? ...

Show that the semi vertical angle of a right circular cone of given surface area and maximimum volume is sin-1(1/3) Pls give the shortest method..It is there in RD, but i think it is tooooooo long...I need EXPERT'S Help... ...

Q1. 0∫10 [ (x2+2)/(x2+1) ] dx = (A) 0 (B) 2 (C) 5 (D) none of these ( [.] denotes G.I.F. ) ...

f(x)=x2 -2x-a2 +1 g(x)=x2 -(a2 +a+1)x+a2 +a Q1. The number of values of a for which f(x)=0 and g(x)=0 have exactly one common root. Q2. The range of a for which the bigger root of g(x)=0 is greater than the bigger root of f(x ...

1. if a and b are integers and x2 + ax + b =0 has discriminant as a perfect square then prove that its roots are integers. SOLUTION IS : roots are { - a± √ ( a2 -4b)} / 2 if a2 -4b = 4m , then a will be even and roots will ...

why f(x) a quadratic func depoends on sign of " a" in a2+bx+c =0 means like if a>0 f(x) >0 .. nd wen a<0 f(x) <0 i mean why does it npot depend on b,c ?? even after finding out da roots of the EQ am not getting an ...

There are 15 tickets numbered from 1 to 15 . Find the number ways in which 3 units having 5,3 and 2 tickets with consecutive numbers can be selected distributed amongst 3 children. ...

In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown.The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wi ...

With usual rotation, in any ΔABC which of the following is/are true...? a) Ex radius opposite to B, altitude through A, Ex radius opposite to C are in H.P. b) If the sines of angles A,B,C are in A.P. then the altitudes of th ...

find the area under the curve and make the graph of it also Q For t>0, find the minimum value of 01∫ x |e-x2-t|dx ...

point "A" lies on d curve y=e-x2and has d coordinates{x,e-x2} wer x>0.point B has d coordinates{x,0}.if O iz d origin then the max area of triangle AOB is a)1/√2e b)1/√4e c)1/√e d)1/√8e ...

∫√x /√x3+a3 ...

A technique of solving diffential equations deals with the Laplace Transformations of a function. Let ƒ(t) be a function of 't' defined for all +ve values of t , then 0∫∞ e - st ƒ(t) dt ; is called the Laplace transform ...

∫ f(x)/x3-1 where f(x) is a polynomial of degree 2 in x such that f(0)=f(1)=3f(2)=-3 ...

evaluate a,b,c,d if lim x→∞ (√x4+ax3+3x2+bx+2)-(√x4+2x3-cx2+3x-d=4 ...

If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual enteries of the determinant are chosen independently, eac ...

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Board questions..(so pls i need detailed answers.. we cant use graphs in boards for explanations) 1. If f(x) = e1/x, x≠0. and 1 if x=0. Find whether f is contiuous at x=0. 2. f(x) = (x-1) tan Πx/2, if x≠1 and k if x=1. F ...

if 1>=a>=b>=c>=0 & λ is a real root of the equation x3+ax2+bx+c =0 then max. value of modulus λ is ? a)1 b)1.5 c)2 d)0.5 ...

Given a,b,c>0, find all real solutions to the equation: \sqrt{a+bx} + \sqrt{b+cx} + \sqrt {c+ax} = \sqrt{b-ax} + \sqrt{c-bx} + \sqrt{a-cx} ...

1 ) If each element of a second order determinant is either zero or one,what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently,ea ...

f(x)=[x] ,x≥0 f(x)=K+[x] ,x<0, {[.] is the greatest integer function......} is continuous at x=0, and one root of ax^{2} +bx+c=0 exceeds the other by K,....then b^2-4ac =? a) a b)b c)a^2 d)b^2 ...

Well what sort of function can be this which satisfy the function rule as f(x+y)=f(x)+f(y)? I mean which function can it be? ...

if modulus of z-i is less than 1 then the value of modulus of z+12-6i is less than a)14 b) 2 c) 28 d) none. plz show that how to do it??? ...

Q1... Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is tan-1( 2 ). Q2... . Show that semi-vertical angle of right circular cone of given surface area and maximum volume is sin-1 ...

In triangle ABC , AD is the altitude from A on BC , if angle B =45 degrees and c>b and AD = abc/(2(c^2-b^2)) , then angle A = 1. 30 2 .45 3 .60 4 .75 ...