Saved Bookmarks
| 1. |
A point `P(x , y)`moves in the xy-plane such that `x=acos^2theta`and `y=2asintheta,`where `theta`is a parameter. The locus of the point `P`is a/ancircle(b) aellipseunbounded parabola (d) part of the parabolaA. circleB. ellipseC. unbounded parabolaD. part of the parabola |
|
Answer» Correct Answer - D (4) Eliminating `theta` from the given equations, we get `y^(2)=-4a(x-a)` which is a parabola but `0lecos^(2)thetale1` `or" "0lexlea` `and" "-1lesinthetale1` `or" "-2aleyle2a` Hence, the locus of point P is not whole parabola, but it is a part of the parabola. |
|