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*Image* Find the mistake.... ...
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Here are the problems of RMO 2011 *Image* Source: Mathlinks. ro ...
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A particle is suspended vertically from a point O by an inextensible massless string of length L. A vertical line AB is at a distance L/8 from O as shown in figure. The object is given a horizontal velocity u. At some point , ...
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1.Let a1=b1=1, a2=2, b2=3, an+1=an+bn, bn+1=2an+bn, then: A> bn2=2an2+1, if nis odd. B> bn2=2an2-1, if n is odd. C> limn->∞ bn/an= 2 -1 D> limn->∞ bn/an= 2 (Multiple correct) ...
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Find all primes p and q such that p2+ 7pq + q2 is square of an integer. (dbt) ...
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Find all primes p and q such that p2+ 7pq + q2 is square of an integer. (dbt) ...
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1. if a1 , a2 , a3 ... a7 are seven not necessarily distinct real numbers such that 1<ai<13 , prove that we can construct a triangle with its sides with length ai 2 If Nn denote the nth son square integer so that N1=2 , ...
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1. if a1 , a2 , a3 ... a7 are seven not necessarily distinct real numbers such that 1<ai<13 , prove that we can construct a triangle with its sides with length ai 2 If Nn denote the nth son square integer so that N1=2 , ...
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Calculate the value of " L " as depicted below - *Image* Hint : - It is not as big as looks . ...
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$To solve the equation:\\\\ $\mathbf{2^{2x+2}-\frac{1}{2}.2^{x^2}+2x=x^2-3}$\\\\ Ans::\Leftrightarrow$\mathbf{x=3,x=-1}$ ...
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plzz explain how to do this comprehension( JEE 2010) quesn no. 42 , 43 and 44... http://jee.iitd.ac.in/QP_M1_ANS.pdf ...
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1.N is a 50 digit no.All the digits except the 26th from the right are 1.If N is divisible by 13 then the unknown digit is? ...
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if (9,23) and (49,53) are the 2 focii of an ellipse. and x- axis is tangent to it.then find the length of major axis.?? ...
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Three sound waves of equal amplitudes have frequencies (v -1), v, (v + 1). They superpose to give beats. What is the number of beats produced per second?? Please give detailed explanation. ...
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Let Xn be the n-th non square positive integer. Thus X1=2 , X2=3 , X3=5 , X4=6 , etc. For a positive number x, denote integer closest to it by <x> , if x = m + 0.5 where m is an integer then define <x> by m , for ...
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Let A={1, 2, 3, ..., n} Find the number of functions f : A → A having the property that f(f(x)) = f(x). P.S. Edited a bit. ...
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15 ml of a gaseous hydrocarbon was required for combustion in 357 ml of air ( 21% of O2 by volume ) . If the gaseous products occupied 327 ml (at NTP) what is the formula of the hydrocarbon )... Ans c3h8 ...
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*Image* A disc of mass M and radius R is lying on a smooth horizontal surface.A particle of mass M moving horizontally with a velocity V collides with the disc at B and sticks to it.Speed of point A on the disc just after imp ...
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prove that xyz >(y+z-x)(z+x-y)(x+y-z) i have found one solution but i am sure a better is existing in someones brain :) ...
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Q1. Remainder when the number 111....1 (123 ones) is divided by 271 is Q2. The period of the function such that f(x-1) + f(x+1) = 2 f(x) is Q3. Let S=\sum_{k=1}^{80}{\frac{1}{\sqrt{k}}} . Then [S] equals where [] is GINT Q4. ...
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prove that xyz >(y+z-x)(z+x-y)(x+y-z) i have found one solution but i am sure a better is existing in someones brain :) ...
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