First slide

Equation of line in Straight lines

Question

If $a \neq b, b \neq c$ , if $a x + b y + c = 0$ , $b x + c y + a = 0$ and $c x + a y + b = 0$ are concurrent. The the value of $2^{a^{2} b^{- 1} c^{- 1}} 2^{b^{2} c^{- 1} a^{- 1}} 2^{c^{2} a^{- 1} b^{- 1}}$

Moderate

A

2
B

4
C

6
D

8

Solution

$a + b + c = 0; a^{3} + b^{3} + c^{3} = 3 a b c$

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