Straight Line and Pair of Straight Lines 1 Question 59
59. line cuts the -axis at and the -axis at . variable line is drawn perpendicular to cutting the -axis in and the -axis in . If and inters at , find the locus of .
(1990, 4M)
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Solution:
- The equation of the line
is
Equation of line perpendicular to
It meets
The equations of lines
Let
Then,
and
Hence, the locus of a point is