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while solving a question i got stuck here..!! (a0xn + a1x(n-1) + a2x(n-2) + ............... + an)(a0/xn + a1/x(n-1) + a2/x(n-2) + ............... + an) = (a0xn + a1x(n-1) + a2x(n-2) + ............... + an) + (a0/xn + a1/x(n-1 ...
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here is an excellent puzzle. a class contains 30 students.15 of them having red cap and rest having blue cap.no one knows what cap he has but can see other's.they don't talk between themselves.the teacher came & asked the stu ...
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Let AN be any line drawn through A in a Triangle ABC. Let BM, CN perpendiculars are drawn from B and C to AN and let D be the mid-point of BC, prove that MD = ND. ...
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Consider a n*n chessboard. A person moves along the lines of the chessboard such that the sum in the y axis is greater than or equal to the sum in the x axis. Find the number of ways of going from one corner to the other corn ...
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The value of lim (n -> ∞) [sum (r varies 1 to n) {1/2r}], where [.] -> G.I.F is ................ ...
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\hspace{-16}$If $\bf{p(x)}$ is a Quadratic Polynomial with Real Coeff. satisfying\\\\ $\bf{x^2-2x+2\leq p(x)\leq 2x^2-4x+3\;\forall x\in \mathbb{R}}$ and $\bf{p(11)=181}$\\\\ Then $\bf{p(2012)=}$ ...
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How many ways can you put 10 sweets into 3 bags so that each bag contains an odd number of sweets? ...
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1)A positive integer n is called “FLIPPANT†if n does not end in 0 (when written indecimal notation) and, moreover, n and the number obtained by reversing the digits of n are both divisible by 7. How many FLIPPANT integer ...
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1)A positive integer n is called “FLIPPANT†if n does not end in 0 (when written indecimal notation) and, moreover, n and the number obtained by reversing the digits of n are both divisible by 7. How many FLIPPANT integer ...
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If z=(3+7i)(p+iq) where p,q E I-{0}' is purely imaginary ,then minimum value of |z^2| is? Ans 3364 please explain how you have solved it ...
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If z=(3+7i)(p+iq) where p,q E I-{0}' is purely imaginary ,then minimum value of |z^2| is? Ans 3364 please explain how you have solved it ...
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\hspace{-16}$4 balls are to be selected from a group of 11 bolls. 5 of them are of type A,\\\\ 2 of them are type B, 2 are of type R, one of type K and one of type D.\\\\ Q.In how many ways we can arrange 4 balls out of these ...
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If z=(3+7i)(p+iq) where p,q E I-{0}' is purely imaginary ,then minimum value of |z^2| is? Ans 3364 please explain how you have solved it ...
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\hspace{-16}$For a $\mathbb{C}$omplex no. $\bf{z}$ find Area enclosed by the curve\\\\ $\bf{\mid z \mid+\mid z-1 \mid+\mid z-2 \mid+\mid z-3 \mid = 4}$ ...
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\hspace{-16}$If $\bf{p(x)}$ is a Quadratic Polynomial with Real Coeff. satisfying\\\\ $\bf{x^2-2x+2\leq p(x)\leq 2x^2-4x+3\;\forall x\in \mathbb{R}}$ and $\bf{p(11)=181}$\\\\ Then $\bf{p(2012)=}$ ...
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\hspace{-16}$The Set of Real no.$\bf{x}$ for which $\bf{\frac{1}{x-2012}+\frac{1}{x-2013}+\frac{1}{x-2014}\geq 1}$ is \\\\ The Union of the form $\bf{a<x\leq b}$.\; Then What is the Length of Sum of\\\\ that Interval. ...
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Let a1,a2,a3......,a10 be a permutation of the set {1,2,3......,10} such that the sequence ai decreases first and then increases like 8,6,4,1,2,3,5,7,9,10.If N is the number of such permutations,then the sum of digits of N is ...
