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A line of fixed length  moves so that its ends are alwayes on two fixed perpendicular straight lines, then the locus of a point, which divides this line into portions of lenghts  and  is a/an

a)

Ellipse

b)

Parabola

c)

Straight line

d)

None of these



Question ID - 56010 | SaraNextGen Top Answer

A line of fixed length  moves so that its ends are alwayes on two fixed perpendicular straight lines, then the locus of a point, which divides this line into portions of lenghts  and  is a/an

a)

Ellipse

b)

Parabola

c)

Straight line

d)

None of these

1 Answer
127 votes
Answer Key / Explanation : (a) -

(a)

Let be the line

Let

So that 

If  makes an angle  with -axis and coordinates of  are ,

Then in

In

 Locus of  is

Which is an ellipse

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