Answer :
Given:
Intercepts cut off on the coordinate axes by the line ax + by +8 = 0 ……(i)
And are equal in length but opposite in sign to those cut off by the line
2x – 3y +6 = 0 ……(ii)
Explanation:
The slope of two lines are equal
The slope of the line (i) is
The slope of the line (ii) is
a
The length of the perpendicular from the origin to the line (i) is
The formula used: d
d1=
d1=
The length of the perpendicular from the origin to the line (ii) is
The formula used: d
d2=
Given: d1= d2
⇒ b = 4
Hence the value of a and b is
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