Question

The product of the perpendiculars from (f,-g) to the pair of straight lines hxy+gx+fy+c=0 is​

Answer 1

Answer:

The given equation hxy+gx+fy+c=0 will represent pair of straight line,

If   ∣∣∣∣∣∣∣∣∣∣∣02h2−g2h02−f2−g2−fc∣∣∣∣∣∣∣∣∣∣∣=0

Expand along R1

We get,

0.[0−2f2]−2h[2hc−4gf]−2g[4−fh−0]=0

0−2h

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