Let a and b be any two numbers satisfying Then, the foot of perpendicular from the origin on the variable line, , lies on :
a hyperbola with each semi-axis =
a hyperbola with each semi-axis = 2.
a circle of radius = 2
a circle of radius =
As we learnt in
Equation of a line perpendicular to a given line -
is the line perpendicular to .
- wherein
is some other constant than.
Equation of line perpendicular to AB
ax - by = 0
Foot of perpendicular is
and ax - by = 0
Also,
Circle of radius is 2.
Option 1)
a hyperbola with each semi-axis =
This is incorrect option
Option 2)
a hyperbola with each semi-axis = 2.
This is incorrect option
Option 3)
a circle of radius = 2
This is correct option
Option 4)
a circle of radius =
This is incorrect option
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