15 Ifa
Question
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15 Ifa
JEE/Engineering Exams
Maths
Solution
117
Rating
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( (a-b)^{2} x^{2}+2(a+b-2 c) x+1=0 ) disciménant [ begin{aligned} D &=frac{b^{2}-4 a c}{4(a+b-2 c)^{2}-4(a-b)^{2}} &=4(a+b-2 c+a-b)(a+b-2 c-a+b) &=4(2 a-2 c)(2 b-2 c) &=16(a-c)(b-c) end{aligned} ] ( because quad a0 ) ( Rightarrow(a-c)(b-c)<0 ) ( Rightarrow D<0 ) imaginary roots.

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