A x-b y-c-0 - if b-0- then the line will always be parallel to the -A- x-axisB- y-axisC- z-axis

The correct option is B y axisax + by + c = 0 If nbsp; b = 0 ax + 0× y + c = 0 ax + c = 0 x = c/a The line is parallel to y axis. When the coefficient of ...

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Standard X

Mathematics

Linear Equations in Two Variables

a x+b y+c=0 ;...

Question

ax + by + c = 0; if b = 0, then the line will always be parallel to the .

x-axis

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y-axis

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z-axis

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Solution

The correct option is B y-axis
ax + by + c = 0

If b = 0

$a x + 0 \times y + c = 0$
$⟹ a x + c = 0$
$⟹ x = \frac{- c}{a}$
The line is parallel to y-axis.

When the coefficient of y is equal to 0, the line is always parallel to the y-axis.

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Similar questions

Q. Which of the following is/are true for the eqaution

a x + b y + c = 0

?

(More than one correct answer)

Q. If the parabola

y = (a - b) x^{2} + (b - c) x + (c - a)

touches the x - axis then the line ax + by + c = 0

Q. Which of the following is represented by the equation y = 0?

Q. x = 0 is the equation of
(a) the x-axis
(b) the y-axis
(c) a line parallel to the x-axis
(d) a line parallel to the y-axis

Q. The straight line

\frac{x - 3}{3} = \frac{y - 2}{1} = \frac{z - 1}{0}

is
(a) parallel to x-axis
(b) parallel to y-axis
(c) parallel to z-axis
(d) perpendicular to z-axis

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ax + by + c = 0; if b = 0, then the line will always be parallel to the .

The correct option is B y-axisax + by + c = 0 If b = 0 ax+0×y+c=0 ⟹ax+c=0 ⟹x=−ca The line is parallel to y-axis. When the coefficient of y is equal to 0, the line is always parallel to the y-axis.

The correct option is B y-axis
ax + by + c = 0

If b = 0

$a x + 0 \times y + c = 0$
$⟹ a x + c = 0$
$⟹ x = \frac{- c}{a}$
The line is parallel to y-axis.

When the coefficient of y is equal to 0, the line is always parallel to the y-axis.