System of Linear Equation

Question: If !!x<0!! !!y>0!! !![x + y +(x/y)]!! !!=!! !!(1/2)!! and !!(x + y)(x/y)!! !!=!! !!(-1/2)!! Then !!x!! and !!y!! !!?!! a)!!|x| »

Evaluate the series

Question: If !!f(x)!! !!=!! !![9^x/(9^x + 3)]!! Then !!f(1/1996) + f(2/1996) + .......+f(1995/1996)!! !!=!! !!?!! !!a)" "996.5!! !!b)" "997.5!! !!c) »

Regular Hexagon

Question: Regular hexagon inscribed in a unit circle !!(A0A1).(A0A2).(A0A4)!! !!=!! !!?!! !!a)" "1!! !!b)" "sqrt(3)!! !!c)" "3!! !!d)" "3Sqrt(3)!! Solution: Since this is a »

Area of a triangle

Question: Area of triangle formed by the line !!x+y!! !!=!! !!3!! and angle bisector of the pair of straight lines !!(x^2 -y^2 + 2y)!! !!=!! !!1! »

Complex though simple.

Question: If !!(i(z^3) + Z^2 - z + i = 0)!!. Then !!mod(z)!! !!=!! !!?!! !!a)" "Rational!! !!b)" "Integer!! !!c)" "None!! Solution !!-1 :!! We can simplify this »

Differential of integration

Question: !!int_(sinx)^1(t^2.f(t))dt!! !!=!! !!(1-sinx)!! for !!x!! !!āˆˆ!! !!(0,pi/2)!! Then !!f(1/sqrt(3))!! !!=!! !!?!! a)!!3!! b)!!sqrt(3)!! c) »