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INET || Elementary Mathematics || Geometry || Locus || Quiz 2020

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Question 1

Let ABC be a triangle in which Let L be the locus of points X inside or on the triangle such that Which of the following statements are correct?
1) L is straight line passing through A and in-centre of triangle ABC is on L.
2) L is straight line passing through A and orthocentre of triangle ABC is a point on L.
3) L is straight line passing through A
and centroid of triangle ABC is a point on L.

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Question 2

The differential equation of the family of circles passing through the origin and having centres on the x-axis is

Question 3

If the coordinate of a variable point P  where  is a variable quantity.Then find locus of P.

Question 4

Find locus of a point which moves in a plane such that its distance from (2,3) and ( 4,5 ) is equal.

Question 5

Let A and B be two points. What is the locus of the point P such that angle APB = 900?
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Apr 16CDS & Defence