Straight Line and Pair of Straight Lines 1 Question 46

46. If $a, b$ and $c$ are in $AP$, then the straight line $a x+b y+c=0$ will always pass through a fixed point whose coordinates are (…) .

$(1984,2 M)$

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Solution:

  1. Since, $a, b, c$ are in AP.

$$ \therefore \quad 2 b=a+c $$

or $\quad a-2 b+c=0$ which satisfy $a x+b y+c=0$

$\therefore a x+b y+c=0$ always pass through a fixed point $(1,-2)$.



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