Question -
Answer -
Given:
Intercepts cut off onthe coordinate axes by the line ax + by +8 = 0 …… (i)
And are equal inlength but opposite in sign to those cut off by the line
2x – 3y +6 = 0 ……(ii)
We know that, theslope of two lines is equal
The slope of theline (i) is –a/b
The slope of theline (ii) is 2/3
So let us equate,
-a/b = 2/3
a = -2b/3
The length of theperpendicular from the origin to the line (i) is
By using the formula,
The length of theperpendicular from the origin to the line (ii) is
By using the formula,
It is given that, d1 =d2
b = 4
So, a = -2b/3
= -8/3
∴ The value of a is-8/3 and b is 4.