If x = a + 2b satisfies cubic (a, b∈ R) f (x)= left| {,begin{array}{*{20}{c}}{a - x}&b&

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3 and 4 .Determinants and Matrices

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If $x = a + 2b$ satisfies the cubic $(a, b\in R)$ $f (x)=$ $\left| {\,\begin{array}{*{20}{c}}{a - x}&b&b\\b&{a - x}&b\\b&b&{a - x}\end{array}\,} \right|$ $= 0$, then its other two roots are

Areal and different

Breal and coincident

Cimaginary

Dsuch that one is real and other imaginary

Solution

Other roots are each equal to $(a – b)$

Standard 12

Mathematics

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