The equation of the line passing through the point (1, 2)

Question:

The equation of the line passing through the point (1, 2) and perpendicular to the line x + y + 1 = 0 is
A. y – x + 1 = 0
B. y – x – 1 = 0
C. y – x + 2 = 0
D. y – x – 2 = 0

Solution:

B. y – x – 1 = 0

Explanation:

Given that line passing through the point (1, 2)

And perpendicular to the line x + y + 1 = 0

Let the equation of line ‘L’ is

x – y + k = 0 … (i)

Since, L is passing through the point (1, 2)

∴ 1 – 2 + k = 0

⇒ k = 1

Putting the value of k in equation (i), we get

x – y + 1 = 0

Or y – x – 1 = 0

Hence, the correct option is (b)

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now