If roots of the quadratic equation a 1 x 2 + b 1 x + c 1 = 0 are II 1 , 1 and those of a…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If roots of the quadratic equation a1x2 + b1x + c1 = 0 are \(\text { II }\)1, \(\beta\)1 and those of a2x2 + b2x + c2 = 0 are \(\text { II }\)2, \(\beta\)2 such that \(\text { II }\)1 \(\text { II }\)2 = 1 = \(\beta\)1 \(\beta\)2 then
- \(\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}\)
- \(\frac{a_{1}}{c_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{a_{2}}\)
- a1a2 = b1b2 = c1c2
- None of the above
Answer
(B) a_ 1 c_ 2 = b_ 1 b_ 2 = c_ 1 a_ 2
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