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Q.

Ellipses are described with line segment AB as the fixed major axes. The locus of an end of a latusrectum is

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a

Ellipse

b

Hyperbola

c

Straight line

d

Parabola

answer is B.

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Detailed Solution

 Let (x,y)=ae,b2ay=a21−e2a⇒y=a1−x2a2⇒x2=a(a−y) which is parabola
 

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Ellipses are described with line segment AB as the fixed major axes. The locus of an end of a latusrectum is