Vidyalelo
Aptitude · Q26

Coordinate Geometry

Competitive Exams · Aptitude · question 26

Q26

What is the equation of the line whose y-intercept is - 3/4 and making an angle of 45° with the positive x-axis?

What is the equation of the line whose y-intercept is  and making an angle of 45° with the positive x-axis?
A.
4x - 4y = 3
Answer
B.
4x - 4y = -3
C.
3x - 3y = 4
D.
3x - 3y = -4

Answer: Option A

Solution

Answer: Option A
Solution:
Standard equation of the line y = mx + c
∴ m = tanθ = tan45° (θ = 45°)
Given
m = 1
∴ c =
New required equation of the line ⇒ y = mx + c
⇒ y = 1 × x
⇒ 4y = 4x - 3
⇒ 4x - 4y = 3