If y co-ordenate of a particle moving in x-y plane is given as y-sqrt - 60- 9x - 2 -m-s - then graph between y and x is CircleparabolicEllipseStraight line

Question

If y co-ordenate of a particle moving in x-y plane is given as  y-sqrt - 60- 9x - 2 -m-s - then graph between y and x is CircleparabolicEllipseStraight line

Toppr Admin · Accepted Answer

According to question-y-x221A-60-x2212-9x2y2-60-x2212-x2x2-y2-60x2-y2-x221A-60-2This is the equation of circle-The correct option is B-

If $y$ co-ordenate of a particle moving in $x - y$ plane is given as $y = \sqrt{60 - {9 x}^{2} m / s}$ then graph between $y$ and $x$ is
$C i r c l e$
$p a r a b o l i c$
$E l l i p s e$
$S t r a i g h t l i n e$

According to question,
$y = \sqrt{60 - 9 x^{2}}$
$y^{2} = 60 - x^{2}$
$x^{2} + y^{2} = 60$
$x^{2} + y^{2} = (\sqrt{60})^{2}$
This is the equation of circle.
The correct option is B.

If y co-ordenate of a particle moving in x−y plane is given as y=√60−9x2m/s then graph between y and x is CircleparabolicEllipseStraight line

According to question,y=√60−9x2y2=60−x2x2+y2=60x2+y2=(√60)2This is the equation of circle.The correct option is B.

If $y$ co-ordenate of a particle moving in $x - y$ plane is given as $y = \sqrt{60 - {9 x}^{2} m / s}$ then graph between $y$ and $x$ is
$C i r c l e$
$p a r a b o l i c$
$E l l i p s e$
$S t r a i g h t l i n e$

According to question,
$y = \sqrt{60 - 9 x^{2}}$
$y^{2} = 60 - x^{2}$
$x^{2} + y^{2} = 60$
$x^{2} + y^{2} = (\sqrt{60})^{2}$
This is the equation of circle.
The correct option is B.