find the locus of a point whose distance from the point 1, 2 is equal to its distance from the axis of y
find the locus of a point whose distance from the point 1, 2 is equal to its distance from the axis of y
Kamal Desai , 7 Years ago
Grade 11
Analytical Geometry> find the locus of a point whose distance ...
1 AnswersArun
Last Activity: 7 Years ago
Dear kamal
Let the point (x, y)
Now
Its distance from y -axis = x
Hence
On squaring both the sides
x² +1 -2x + y² + 4 -4y = x²
y² -4y +4 = 2x-1
(y-2)² = 4*(1/2) (x -1/2)
It is a parabola
Regards
Arun (askIITians forum expert)
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