Equations of the lines which makes an angle of 45- with y axis and passing through the point 2-3 is A- x-y-1-0B- x-2 y-4-0C- x-y-5-0D- 2 x-y-7-0

The correct options are A x y+1=0 C x+y 5=0Clearly, required line makes an angle 45^∘ with x axis and another possibility is 135^∘. ∴ Slope, m=±1 Required line ...

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Standard XII

Mathematics

Angle between Two Lines

Equations of ...

Question

Equations of the line(s) which makes an angle of $45^{\circ}$ with $y$ axis and passing through the point $(2, 3)$ is

x - y + 1 = 0

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x - 2 y + 4 = 0

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x + y - 5 = 0

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2 x + y - 7 = 0

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Solution

The correct options are
A $x - y + 1 = 0$
C $x + y - 5 = 0$
Clearly, required line makes an angle $45^{\circ}$ with $x$ -axis and another possibility is $135^{\circ} .$

$∴$ Slope, $m = \pm 1$
Required line $y - 3 = \pm (x - 2)$
$\Rightarrow x - y + 1 = 0 or x + y - 5 = 0$

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Equations of the line(s) which makes an angle of 45∘ with y axis and passing through the point (2,3) is

The correct options are A x−y+1=0 C x+y−5=0Clearly, required line makes an angle 45∘ with x-axis and another possibility is 135∘. ∴ Slope, m=±1 Required line y−3=±(x−2) ⇒ x−y+1=0 or x+y−5=0

Equations of the line(s) which makes an angle of $45^{\circ}$ with $y$ axis and passing through the point $(2, 3)$ is

The correct options are
A $x - y + 1 = 0$
C $x + y - 5 = 0$
Clearly, required line makes an angle $45^{\circ}$ with $x$ -axis and another possibility is $135^{\circ} .$

$∴$ Slope, $m = \pm 1$
Required line $y - 3 = \pm (x - 2)$
$\Rightarrow x - y + 1 = 0 or x + y - 5 = 0$