Which phrase does not have the same meaning as -3/w
1 answer:
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The equation of the pair of lines perpendicular to the lines given equation is .
Solution:
Given equation is .
Let and
be the slopes of the given lines.
Sum of the roots =
– – – – – (1)
Product of the roots =
– – – – – (2)
The required lines are perpendicular to these lines.
Slopes of the required lines are
Required lines also passes through the origin,
therefore their y-intercepts are 0.
Hence their equations are:
Do cross multiplication, we get
Add x on both sides of the equation, we get
Therefore, the joint equation of the line is
Substitute (1) and (2), we get
To make the denominator same, multiply and divide first term by b.
Do cross multiplication, we get
Hence equation of the pair of lines perpendicular to the lines given equation is .