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Question

Mathematics Question on Properties of Determinants

If for some c<0c < 0, the quadratic equation, 2cx22(2c1)x+3c2=02cx^{2}-2\left(2c-1\right)x+3c^{2}=0 has two distinct real roots, 1a\frac{1}{a} and 1b,\frac{1}{b}, then the value of the determinant. 1+a11 11+b1 111+c\begin{vmatrix}1+a&1&1\\\ 1&1+b&1\\\ 1&1&1+c\end{vmatrix} is :

A

43\frac{4}{3}

B

00

C

11

D

22

Answer

22

Explanation

Solution

Answer (d) 22