If the axes are rotated anticlockwise through an angle 9 0 ∘ , then the equation x 2 = 4 α y is changed to the equation

Question

If the axes are rotated anticlockwise through an angle 9 0 ∘ , then the equation x 2 = 4 α y is changed to the equation, y 2 = 4 a x, x 2 = − 4 a y, y 2 = − 4 a x, x 2 = 4 a y

MARKS App · Accepted Answer

Given, equation of parabola $ x 2 = 4 a y T h e n , im g src = " h ttp s : // c d n − q u es t i o n − p oo l . g e t ma r k s . a pp / p y q / t s e ​ am ce t / A B 2 c M H k M U H wQB 4 Hs P X ​ L bW 3 F I M f Cl 2 x G e T 29 W xx r nn 4. or i g ina l . f u ll s i ze . p n g " > b r > O n ro t a t in g t h e a x es an t i − c l oc k w i se t h ro ug han g l e 90^{\circ} , X − a x i s b eco m es Y − a x i s an d Y − a x i s b eco m es X − a x i s . im g src = " h ttp s : // c d n − q u es t i o n − p oo l . g e t ma r k s . a pp / p y q / t s e ​ am ce t / G c m D V w i Z J wXNG I 2 N D ONq x s N 9 t 0 ZT mb S Y T 6 i d e Q b f u 6 s . or i g ina l . f u ll s i ze . p n g " > b r > T h ere f ore , t h ee q u a t i o n o f n e wp a r ab o l aa f t erro t a t i o ni s y^2=4 a x$.

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