Question

The equation of straight line passing through the
origin is -
a) y = 2 b)x= y + 3
c)y=mx d) ax + by + c = 0​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The equation of straight line passing through the origin is

a) y = 2

b)x= y + 3

c) y = mx

d) ax + by + c = 0

EVALUATION

The general equation of any line is

$\sf{ax + by + c = 0 \: \: ......(1)}$

Since the line passes through the point (0,0)

$\sf{a.0 + b.0 + c = 0}$

$\implies \sf{ \sf{ c = 0}}$

So the Equation (1) becomes

$\sf{ax + by = 0}$

Which can be rewritten as below

$\sf{ by = - ax}$

$\displaystyle \sf{ \implies \: y = - \frac{a}{b} x}$

$\displaystyle \sf{ \implies \: y = m x} \: \: \: where \: \: m = - \frac{a}{b}$

Hence the correct option is

$\sf{(c) \: \: \: y = mx}$

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