(B) The general equation of a straight line is given by $ax + by + c = 0$. However,this can be rewritten as $y = mx + c$ (slope-intercept form) or $\f

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(B) The general equation of a straight line is given by $ax + by + c = 0$. However,this can be rewritten as $y = mx + c$ (slope-intercept form) or $\frac{x}{a} + \frac{y}{b} = 1$ (intercept form). In all these standard forms,there are exactly $2$ independent constants (parameters) that define the line. Therefore,$2$ geometrical parameters are required to specify a straight line.

Class 11 Mathematics Straight Lines Slope of line, Equation of line in different forms

Medium

For specifying a straight line,how many geometrical parameters should be known?

A
$1$
B
$2$
C
$4$
D
$3$

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Class 11

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Straight Lines

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Slope of line, Equation of line in different forms

The equation of the line whose slope is $3$ and which cuts off an intercept of $3$ from the positive $x$-axis is

Easy

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The equation of a line passing through $(p \cos \alpha, p \sin \alpha)$ and making an angle $(90^\circ + \alpha)$ with the positive direction of the $X$-axis is:

MediumMHT CET 2021

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The equation of a line perpendicular to $x = c$ is

Medium

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The number of lines passing through $A(3, 4)$ such that the sum of their non-zero intercepts is zero is:

DifficultMHT CET 2026

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Match the items given in List-$I$ to the items given in List-$II$.
List-$I$ List-$II$
$A$. Line passing through $(-4, 3)$ and having intercepts in the ratio $5:3$ $1$. $2x - 5y + 4 = 0$
$B$. Line passing through $P(2, -5)$ such that $P$ bisects the part intercepted between the axes $2$. $3x + 5y = 3$
$C$. Line parallel to $2x - 3y + 5 = 0$ with $x$-intercept $\frac{2}{5}$ is $3$. $10x - 15y + 4 = 0$
$D$. Line perpendicular to $5x + 2y + 7 = 0$ with $y$-intercept $\frac{4}{5}$ is $4$. $10x - 15y = 4$
$5$. $5x - 2y - 20 = 0$

EasyTS EAMCET 2021

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List-$I$	List-$II$
$A$. Line passing through $(-4, 3)$ and having intercepts in the ratio $5:3$	$1$. $2x - 5y + 4 = 0$
$B$. Line passing through $P(2, -5)$ such that $P$ bisects the part intercepted between the axes	$2$. $3x + 5y = 3$
$C$. Line parallel to $2x - 3y + 5 = 0$ with $x$-intercept $\frac{2}{5}$ is	$3$. $10x - 15y + 4 = 0$
$D$. Line perpendicular to $5x + 2y + 7 = 0$ with $y$-intercept $\frac{4}{5}$ is	$4$. $10x - 15y = 4$
	$5$. $5x - 2y - 20 = 0$

For specifying a straight line,how many geometrical parameters should be known?

Similar Questions

The equation of the line whose slope is $3$ and which cuts off an intercept of $3$ from the positive $x$-axis is

The equation of a line passing through $(p \cos \alpha, p \sin \alpha)$ and making an angle $(90^\circ + \alpha)$ with the positive direction of the $X$-axis is:

The equation of a line perpendicular to $x = c$ is

The number of lines passing through $A(3, 4)$ such that the sum of their non-zero intercepts is zero is:

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