Question

LIST-$I$ LIST- $II$
$A)$ The locus of the parabola $1)$ a point $(a\cos \theta ,a\sin \theta )$
$B)$ The locus of the ellipse $2)$ a point $(a{t}^2,2at)$
$C)$ The locus of the circle $3)$ a point $(a\cos \theta ,b\sin \theta )$

• A. $A-3,B-1,C-2.$
• B. $A-2,B-3,C-1.$
• C. $A-1,B-2,C-3.$
• D. $A-2,B-4,C-1.$

Answer 1

The correct option is B $A-2,B-3,C-1.$

Locus of the circle is $(acos\theta ,asin\theta )$
Locus of the parabola is $(a{t}^2,2at)$
Locus of the ellipse is $(acos\theta ,bsin\theta )$

Hence, option B is correct.