Equations of the lines which makes an angle of 45- with y axis and passing through the point 2-3 is

Clearly, 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 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XIII

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

x - 2 y + 4 = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x + y - 5 = 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 x + y - 7 = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is 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 $y - 3 = \pm (x - 2)$
$\Rightarrow x - y + 1 = 0 or x + y - 5 = 0$

Suggest Corrections

Similar questions

Q. Equations of the line(s) which makes an angle of

45^{\circ}

with

y

axis and passing through the point

(2, 3)

Q. Find the equation of the line through

(2, 3)

and making an angle

30^{\circ}

with the y-axis

Find the equation of a line which makes an angle of 135 $^{\circ}$ with the x-axis and passes through the point (3, 5)

Q. The equation of a straight line which passes through the point

(2, 1)

and makes an angle of

π / 4

with

x - a x i s

Q. The equation of the straight line, which passes through the point

(2, 4)

and makes an angle

θ

with positive

x

axis where

cos θ = - \frac{1}{3}

Join BYJU'S Learning Program

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

The correct option is 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 option is 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 $y - 3 = \pm (x - 2)$
$\Rightarrow x - y + 1 = 0 or x + y - 5 = 0$