Question

If x = a cos θ and y = b sin θ, then b²x²=a²y² =
(a)a² b²
(b)ab
(c)a⁴ b⁴
(d)a² + b²

Answer 1

Answer:

The value of b²x² + a²y²  is a²b².

Among the given options option (a)  a²b²  is correct.  

Step-by-step explanation:

Given : x = a cos θ and y = b sin θ

On Substituting the values of x and y in the given expression b²x² + a²y²,   b²x² + a²y² = b²(a cos θ)² + a²(b sin θ)²

= b²a²cos²θ + a²b²sin²θ

= a²b²(cos²θ + sin²θ)

= a²b² × 1

[By using the identity , sin² θ + cos² θ = 1]

b²x² + a²y² = a²b²

Hence, the value of b²x² + a²y²  is a²b².

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

if the question is b^2 x^2 + a^2y^2 the ans will be option a