Correct Answer - Option 4 : 9 / 4
Given:
The lines x = y / 4 + a and y = x / 4 + b intersect each other at the point (1, 2).
Calculation:
The lines intersect each other at the point (1,2)
It's mean x = 1 and y = 2
The lines x = y / 4 + a and y = x / 4 + b
x = y/4 + a
⇒ 1 = 2/4 + a
⇒ a = 1 – 1/2
⇒ a = 1/2
y = x / 4 + b
⇒ 2 = 1/4 + b
⇒ b = 2 – 1/4
⇒ b = 7/4
a + b
⇒ 1/2 + 7/4
⇒ 9/4
∴ The value of a + b is 9/4.
