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If a) x1 + x2 + ...................+x1007 =(2014)2 b) x1 /(x1 +1)=x2 /(x2 +3)=.....................=x1007 /(x1007 +2013) then x253 =? ...
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viii) f( x) =((2x-1)/(x-1)) ...
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There are three coplanar parallel lines.If any p points are taken on each of the line,the maximum number of triangles with vertices at these points is a.3p2(p-1) b.3p2(p-1)+1 c.p2(4p-3) d.None of these ...
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Among KO2, AlO2-, BaO2 and NO2+, unpaired electron is present in NO2+ and BaO2 KO2 and AlO2- KO2 only BaO2 only ...
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f(x)=mod(x-1)-[x] evaluate limit x→ 1 ...
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f(x+y)=f(x)+f(y) f(x)is a)even or b)odd function please show the working ...
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There are three coplanar parallel lines.If any p points are taken on each of the line,the maximum number of triangles with vertices at these points is a.3p2(p-1) b.3p2(p-1)+1 c.p2(4p-3) d.None of these ...
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If f :N→N such that f(f(x))=3x; Then find f(2013) ...
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Lim Sin.Log x2 x→0 Find the value using L hospital rule. ...
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Lim Sin.Log x2 x→0 Find the value using L hospital rule. ...
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*Image* What's the difference between (c) and (d)? ...
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A charged drop of oil of radius 2.76μm and density 920kg/m3 is held stationary in a vertically downward electric field of 1.65*106N/C.(i).Find the magnitude and sign of the charge on the drop.(ii) If the drop captures two el ...
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If cos(α-β)+cos(β-γ)+cos(γ-α)= -3/2 , then p.t. → cosα +cosβ +cosγ =sinα +sinβ +sinγ =0 . ...
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A carrom board (having dimension 4ft * 4ft) has the queen at the centre. The striker hits the queen,which moves to the front edge,rebounds and finally enters the hole behind the striking line. Find the displacement of the que ...
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Out of (2n+1) tickets numbered consecutively, three are drawn at random. the chance that the numbers on them are in A.P is (a) n2/4n2-1 (b) 2n/4n2-1 (c) 3n/4n2-1 (d) 4n/4n2-1 ...
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If two opposite vertices of square are (3,4) and (1,-1) then the other two vertices are ? ...
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∫ cos 5x+ cos 4x/1-2cos3x ...
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A flight of stairs has 10 steps. A person can go up the steps one at a time, two at a time, or any combination of 1's and 2's. Find the total number of ways in which the person can go up the stairs. ...
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If a, b, c are the sides of triangle ABC satisfying log(1+c/a) + log a – log b = log 2. Also a(1 – x2) + 2bx + c(1 + x2) = 0 has two equal roots. Find the value of sin A + sin B + sin C. ...
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For x ε (0, π/2) and sin x = 1/3, if \sum_{n=0}^{\infty }\frac{sin(nx)}{3^{n}}=\frac{a+b\sqrt{b}}{c} then find the value of (a + b + c), where a, b, c are positive integers. ...
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If the sum of the roots of the equation 2333x-2+2111x+1=2222x+2+1 is expressed in the form a/b find a + b, where a/b is in its lowest form. ...
