Q. 215.0( 1 Vote )

If p is the lengt

Answer :

Given equation is

Since, p is the length of perpendicular drawn from the origin to the given line

Squaring both the sides, we have


Since, a2, b2 and p2 are in AP

2p2 = a2 + b2


Form eq. (i) and (ii), we get

(a2 + b2)(a2 + b2) = 2(a2b2)

a4 + b4 + a2b2 + a2b2 = 2a2b2

a4 + b4 = 0

Hence Proved

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