a variable line passes through a fixed point (a,b) and meet the coordinate axes in a and b. the locus of the points of the intersection of the lines through a,b parallel coordinate axes is
VRUSHABH , 7 Years ago
Grade 11
1 Answers
Partha Math Expert - askIITians
Last Activity: 7 Years ago
If the line intersects the coordinate axes at the points (h, 0) and (0, k), thenpoints of the intersection of the lines through (h, 0) and (0, k) parallel to coordinate axes is (h,k).
The line can thus be represented by the form:and since it passes through (a, b) we get that.
Thus the locus is given by
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