a variable line passes through a fixed point (a,b)

Question

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

Partha Math Expert - askIITians · Accepted Answer

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: $\frac{x}{h} + \frac{y}{k} = 1$ and since it passes through (a, b) we get that $\frac{a}{h} + \frac{b}{k} = 1$ .

Thus the locus is given by $\frac{a}{x} + \frac{b}{y} = 1$

Analytical Geometry> a variable line passes through a fixed po...

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 , 8 Years ago

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Analytical Geometry> a variable line passes through a fixed po...

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 , 8 Years ago

Partha Math Expert - askIITians

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