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Ques1) The eqn of tangen to the curve y = cos(x+y) where -2pie ≤ x ≤ 2 pie, that are parallel to the line x+2y = 0 (a) x+2y = pie/2 and x+2y = -3 pie/2 (b) x+2y = pie/2 and x+2y = 3 pie/2 (c) x+2y = 0 and x+2y = pie (d) n ...

∫ dx / (x + √x2-1)2 = ? ( here its a whole square root) ...

The nth therm of a sequence in given by nn/n! .... Show that this sequence converges and find it's limit... ...

This thread dedicated to some good conversions in organic chemistry...Hoping for healthy debate Q1 *Image* ...

In right angled triangle ABC,right angled at B,s-a=3 and s-c=2. Find values of a and c ...

Let k=1 ,then find value of 2sin2k + 4sin4k + 6sin6k +... + 180sin180k ...

This question is given in arihant... Prove that the min value of the expression x2+3y2+2xy-6x-3y is -11 Any hints on how to solve this ? ...

Here in this site is there any place where we can find tricks to solve questions ...

If xi>0 for 1≤i≤n and x1+x2+....+xn=π ,then find greatest value of sinx1+sinx2+.......+sinxn ...

What is the minimum distance between circle x2+y2=9 and curve 2x2+10y2+6xy=1? ...

( 1+i )n + ( 1- i )n ...

can anyone give me account of what happens when a body is passed through a tunnel dug through a earth when it is a diameter and a chord........ ...

*Image* ...

A: Aldehydes and ketone give nucleophilic addition reactions with carbon,oxygen,nitrogen and sulphur nucleophiles R: Sulphite ion is ambident nucleophile ...

Two n digit integers are said to be equivalent if one is a permutation of the other. for eg. 10075 and 01057 are equivalent. Find the number of 5 digit integers such that no two are equivalent ...

1) Show that the least value of 2 log 100 a - log a 0.0001, for a > 0 is 4. 2) If the equation x 4-4x 3+ax 2+bx+1=0 has four positive roots, then show that a=6 and b=-4 3) If S = a 1+a 2+a 3+..........+an then show that s/ ...

Q.1) prove : (n+1 / 2)n ≥ n! Q.2) prove : 2n + x Cn .2n-x Cn ≤ (2nCn)2 Q.3) If s be the sum of n +ve unequal quantities a,b,c,..... then prove that : s/s-a + s/s-b + s/s-c +...... > n2 / n2-1 ...

Find the coefficient of x50 in (1+x)+2(1+x)2+3(1+x)3+....+1000(1+x)1000 ...

1) If the equation x 4-4x 3+ax 2+bx+1=0 has four positive roots, then show that a=6 and b=-4 2) If S = a 1+a 2+a 3+..........+an then show that s/(s-a1) + s/(s-a2) +s/(s-a3) + ...............+ s/(s-a n) > n2 /( n-1). 3) If ...

If m is a prime number,and a,b ,two numbers less than m prove that am-2+am-3b+am-4b2+...bm-2 is a multiple of m ...

1) Find the values of a for which the eqn 3x4 + 4x3 -12x2 + a = 0 are real and distinct. 2) If f ' (sinx) < 0 and f '' (sinx) > 0 for x belonging to R, then find the intervals of monotonicity of the function g(x) = f(si ...

If x2+y2-14x-6y-6=0 ,then find maximum possible value of 3x+4y ...

The article is written by me on my blog http://entrance-corner.blogspot.com/ http://entrance-corner.blogspot.com/2009/08/never-lose-hope.html Do comment there.... cheers ...

an aldoheptose has x stereoisomers and a ketoheptose ha y Find x/y the answer is not 2/1 ...

Find the number of distinct solutions of equation sin5θcos3θ=sin9θcos7θ, θ ε [0,π/2] ...

The molecules that will have dipole moment are: (a)2,2-dimethylpropane (b)trans-2-pentene (c)cis-3-hexene (d)2,2,3,3-tetramethylbutane ...

If in ΔABC ,cosA+2cosB+cosC=2 then prove that a,b,c are in AP ...

Pick up the molecule which has zero dipole moment- (a)NH3 (b)H2O (c)BCl3 (d)SO2 ...

I'm a IX student. Will please tell me that though Hydrogen has a great similarity with the properties of elements of the Halogen Group, why is it placed in the Ist group of the Periodic table? ...

Bond angle is minimum for: (a)H2O (b)H2S (c)H2Se (d)H2Te ...