Equation of line passing through a x 1- y 1 and b x 2- y 2 can be given as y - y 2- y 1- y 2- x 1- x 2 x - x 2B- y - y 1- y 2- y 1- x 2- x 1 x - x 1 y - y 1- y 2- y 1- x 2- x 1 x - x 2D- Both a and b

The correct option is D Both (a) and (b)Equation of line passing through a (x_1,y_1) and nbsp;b (x_2,y_2) in two point form can be given as (y y_2)=(y_1 y_2) ...

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Standard XII

Physics

Introduction

Equation of l...

Question

Equation of line passing through $a (x_{1}, y_{1})$ and $b (x_{2}, y_{2})$ can be given as

(y - y_{2}) = \frac{(y_{1} - y_{2})}{(x_{1} - x_{2})} (x - x_{2})

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(y - y_{1}) = \frac{(y_{2} - y_{1})}{(x_{2} - x_{1})} (x - x_{1})

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(y - y_{1}) = \frac{(y_{2} - y_{1})}{(x_{2} - x_{1})} (x - x_{2})

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Both (a) and (b)

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Solution

The correct option is D $Both (a) and (b)$
Equation of line passing through $a (x_{1}, y_{1})$ and $b (x_{2}, y_{2})$ in two point form can be given as
$(y - y_{2}) = \frac{(y_{1} - y_{2})}{(x_{1} - x_{2})} (x - x_{2})$
OR
$(y - y_{1}) = \frac{(y_{2} - y_{1})}{(x_{2} - x_{1})} (x - x_{1})$

Both represent the same line.

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Equation of line passing through a (x1,y1) and b (x2,y2) can be given as

The correct option is D Both (a) and (b) Equation of line passing through a (x1,y1) and b (x2,y2) in two point form can be given as (y−y2)=(y1−y2)(x1−x2)(x−x2) OR (y−y1)=(y2−y1)(x2−x1)(x−x1) Both represent the same line.

Equation of line passing through $a (x_{1}, y_{1})$ and $b (x_{2}, y_{2})$ can be given as