The value of p + q = 20 if the given equation of lines px = 12 and 2x + qy = 10 intersects at (1, 1).
According to the given question.
We have equation of lines
px = 12
and 2x + qy = 10
Since, both the lines are intersecting at (1, 1).So it must satisfy the given equation.
Susbstitute x = 1 and y = 1 in px = 12 and 2x + qy = 10.
⇒ p(1) = 12 and 2(1) + q(1) = 10
⇒ p = 12 and 2 + q = 10
⇒ p = 12 and q = 10 -2
⇒ p = 12 and q = 8
Therefore,
p + q = 12 + 8 = 20
Hence, the value of p + q = 20 if the given equation of lines px = 12 and 2x + qy = 10 intersects at (1, 1).
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