Q. 165.0( 2 Votes )

# A straight line moves so that the sum of the reciprocals of its intercepts made on axes is constant. Show that the line passes through a fixed point.

Answer :

Intercepts form of a straight line is

where a and b are the intercepts on the axes

Given that:

this shows that the line is passing through the fixed point (k, k)

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PREVIOUSIn what direction should a line be drawn through the point (1, 2) so that its point of intersection with the line x + y = 4 is at a distance from the given point.NEXTFind the equation of the line which passes through the point (– 4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point.

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