Statement I: General form (here and are the parameters and ) always represents a straight line. Statement II: A line , is such that the algebraic sum of the perpendiculars on it, from a number of points , is zero, then the line always passes through

Question

Consider the following Statements

Statement I: General form $a x + b y + c = 0$ (here $a, b$ and $c$ are the parameters and $a, b, c \in R$ ) always represents a straight line.

Statement II: A line $a x + b y + 1 = 0$ , is such that the algebraic sum of the perpendiculars on it, from a number of points $(x_{i}, y_{i}),$ $(i = 1, 2, \dots, n)$ , is zero, then the line always passes through a fixed point $(\bar{x}, \bar{y})$ where $\bar{x} = \frac{\sum x_{i}}{n}$ and $\bar{y} = \frac{\sum y_{i}}{n}$

Smart Achievers · Accepted Answer

(2)

$S_{1} : a = b = c = 0 Then it is not linear$

$S_{2} is obviously True$

Solution

1 Only Statement I is true

2 Only Statement II is true

3 Both Statement I and II are True

4 Both Statement I and II are false

Ans.
(2)

$S_{1} : a = b = c = 0 Then it is not linear$

$S_{2} is obviously True$

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