6. PRIME more creative questions.
i) Find the equation of locus of a point so that ratio of its distance from (2, 1) and
from the point (1, -2) is always 2:3.
ii) Find the equation of locus of a point so that it moves from the circumference of
a circle having equation x2 + y2 = k where one of the point in the circumference
is (-3,0)
iii) If a point (4, 4) lies in the equation of locus y= ax. Find the value of 'a'. Also
prove that another point (16, 8) lies in that locus.
iv) Find the equation of locus of a point P which moves so that it makes right angle
at point 'P' from the fixed points A(-m, 0) and B(m, 0).
v) Find the equation of locus of a point which moves so, that its distance fro (1, -2)
is half of the distance from (2, 1).
Solve all question
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Answer:
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