If the line a x - by - c - 0 is such that a - 0 and b- c - 0- then the lines is perpendicular to -

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Byju's Answer

Standard XII

Mathematics

Condition for Two Lines to Be Perpendicular

If the line a...

Question

If the line a $x + b y + c = 0$ is such that $a = 0$ and $b$ , $c$ $\neq$ 0, then the lines is perpendicular to ?

x

-axis

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y

-axis

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x = y = 1

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x = y

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Solution

The correct option is C $y$ -axis
Given line
$a x + b y + c = 0$ but $a = 0$
$b y + c = 0$
Equation of line perpendicular to above line be
$b x + λ = 0$
$x = - \frac{λ}{b}$
In the option only $y - a x i s : x = 0$ is same to required equation
Hence option B is correct

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If the line ax+by+c=0 is such that a=0 and b, c ≠ 0, then the lines is perpendicular to ?

The correct option is C y-axisGiven lineax+by+c=0 but a=0by+c=0Equation of line perpendicular to above line be bx+λ=0x=−λbIn the option only y−axis:x=0 is same to required equation Hence option B is correct

If the line a $x + b y + c = 0$ is such that $a = 0$ and $b$ , $c$ $\neq$ 0, then the lines is perpendicular to ?

The correct option is C $y$ -axis
Given line
$a x + b y + c = 0$ but $a = 0$
$b y + c = 0$
Equation of line perpendicular to above line be
$b x + λ = 0$
$x = - \frac{λ}{b}$
In the option only $y - a x i s : x = 0$ is same to required equation
Hence option B is correct