🛠️ JEE➗ Maths

If \(\alpha ,\beta\) are the roots of \(a{x}^{2}+bx+c=0\) and \(c\text{ }\neq \text{ }0,\) then the value of \(\frac{1}{…

Q1

If \(\alpha ,\beta\) are the roots of \(a{x}^{2}+bx+c=0\) and \(c\text{ }\neq \text{ }0,\) then the value of \(\frac{1}{{\left(a\alpha +b\right)}^{2}}+\frac{1}{{\left(a\beta +b\right)}^{2}}\) in terms of \(a,b,c\) is

a

\(\frac{{b}^{2}−2ac}{ac}\)

b

\(\frac{2ac−{b}^{2}}{ac}\)

c

\(\frac{{b}^{2}−2ac}{{a}^{2}{c}^{2}}\)

d

\(\frac{{b}^{2}}{{a}^{2}c}\)

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