Question

if point p has coordinates (cos a,sin a) find the distance of op where o is the origin.​

Answer 1

Let, x=acosθ and y=bsinθ

Therefore,

=>

a

x

=cosθ ....(1)

and

b

y

=sinθ....(2)

On squaring and adding both the equation ,

we get,

(

a

x

)

2

+(

b

y

)

2

=cos

2

θ+sin

2

θ

=> (

a

x

)

2

+(

b

y

)

2

=1,

which is an ellipse.

Answer 2

Answer:

A manufacturer lists the price of his goods at $ 2400 per article. The

wholesaler gets a discount of 25% on the goods from the manufacturer. The

retailers are allowed a discount of 15% on the listed price by the wholesaler.

The prescribed rate of sales tax at all stages is 8%. A consumer buys an

article from the retailer at the listed price. Find the VATs paid by the

wholesaler and the retailer.