(B) line equally inclined to both axes makes an angle of $45^{\circ}$ or $135^{\circ}$ with the positive $x$-axis.Therefore,the slope $m = \tan(45^{\c

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(B) line equally inclined to both axes makes an angle of $45^{\circ}$ or $135^{\circ}$ with the positive $x$-axis.Therefore,the slope $m = \tan(45^{\circ}) = 1$ or $m = \tan(135^{\circ}) = -1$.The equations of such lines are $y = x$ and $y = -x$.Thus,there are $2$ such straight lines.

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

Medium

The number of straight lines which are equally inclined to both the axes is

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

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Class 11 Questions

Class 11

Mathematics Questions

Chapter

Straight Line

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Slope of line, Equation of line in different forms

If $u = a_1x + b_1y + c_1 = 0$,$v = a_2x + b_2y + c_2 = 0$ and $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$,then the curve $u + kv = 0$ is

Medium

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Find the equation of the line passing through the point $(-2, 3)$ with a slope of $-4$.

Easy

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If the line $2x + 3y = 5$ and $y = mx + c$ are parallel,then:

Medium

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Find the equation of the line passing through the point $(1, 2)$ and perpendicular to the line $y = 3x - 1$.

MediumKCET 2017

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Reduce the following equation into intercept form and find its intercepts on the axes: $3x + 2y - 12 = 0$.

Easy

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The number of straight lines which are equally inclined to both the axes is

Similar Questions

If $u = a_1x + b_1y + c_1 = 0$,$v = a_2x + b_2y + c_2 = 0$ and $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$,then the curve $u + kv = 0$ is

Find the equation of the line passing through the point $(-2, 3)$ with a slope of $-4$.

If the line $2x + 3y = 5$ and $y = mx + c$ are parallel,then:

Find the equation of the line passing through the point $(1, 2)$ and perpendicular to the line $y = 3x - 1$.

Reduce the following equation into intercept form and find its intercepts on the axes: $3x + 2y - 12 = 0$.

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