Flag Analytical Geometry> a variable line passes through a fixed po...
question mark

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
anser 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:\frac{x}{h} + \frac{y}{k} = 1and 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

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...