Question -
Answer -
(i) Equal in magnitude andboth positive
Given:
a = b
Let us find theequation of line cutoff intercepts from the axes.
By using the formula,
The equation of theline is x/a + y/b = 1
x/a + y/a = 1
x + y = a
The line passesthrough the point (5, 6)
Hence, the equationsatisfies the points.
5 + 6 = a
a = 11
∴ The equation of theline is x + y = 11
(ii) Equal in magnitude butopposite in sign
Given:
b = -a
Let us find theequation of line cutoff intercepts from the axes.
By using the formula,
The equation of theline is x/a + y/b = 1
x/a + y/-a = 1
x – y = a
The line passesthrough the point (5, 6)
Hence, the equationsatisfies the points.
5 – 6 = a
a = -1
∴ The equation of theline is x – y = -1