NIMCET 2021 Question Paper with solutions

Question : 24 of 120

Marks: +1, -0

The lines

p x+q y=1

and

q x+p y

are respectively the sides

A B, A C

of the triangle

A B C

and the base

B C

is bisected at

(p, q)

. Equation of the median of the triangle through the vertex

A

Solution:

Line

A B: p x+q y=1

A C: q x+p y=1

\∴ A({1}/{p+q}, {1}/{p+q})

D(p, q)

no eq. of line passing through

A \& D

(y-q)={1-p q-q^{2}}/{1-p q-p^{2}}(x-p)

\∴(2 p q-1)(p x+q y-1)-(p^{2}

+q^{2}-1)(q x+p y-1)=0

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