Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation
The roots of a quadratic equation a x^2+b x+c=0 are =z^2+z^4+ . .+z^ 2 n and =z+z^3+ .+z^ 2 n-1 where z=e^ i ( 2 2 n+1 ) , n z⁺ then
Options
- A+ =1
- B=1
- Cequation can be written as x^2+x+ 1 4 ^2 ( 2 n+1 )=0
- D+ =-1
Correct answer
D. + =-1
Step-by-step solution
aligned & S= + =-1 & P= =z^3 ( z^ 2 n -1 z^2-1 )^2= z (z+1)^2 = 1 z+ 1 z +2 = 1 4 ^2 ( 2 n+1 ) aligned