Question

x varies y²and y=2a when x=a ; find relation between x and y​

Answer 1

Answer:

hope this helps.........

Step-by-step explanation:

x ∝ y2and y = 2a when x = a, then show that y2 = 4ax .

Solution : x ∝ y2

⇒ x = ky2 ——————-( 1 )

where k is variation constant .

when x = a and y 2a, then from equation ( 1 ),

a = k ( 2a )2

⇒ a = k × 4a2

⇒ 1 = k ( 4a )

⇒ k = 1 / ( 4a )

putting the value of k = 1 / ( 4a ) in equation ( 1 ), we get,

x = ky2

⇒ x = { 1 / ( 4a ) } y2

∴ y2 = 4ax ( showed )

Answer 2

Please reffer to the attachment.