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Q.

A straight line meets the coordinate axes in A and B. Find the equation of the straight line, when (p, q) bisects.

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Detailed Solution

 Let a,b be the intercepts of the line xa+yb=1
This line meets x-axis at A(a, 0)
And y-axis at B(0, b)
 Mid point of AB¯ is a2,b2=(p,q)
a=2p, b=2q
Equation of the line is
xa+yb=1 x2p+y2q=1 xp+yq=2

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