Question

pls ans this step by step​

Answer 1

Answer

Option (c) is correct

The value of xy = √(ab)

x = - (√a )

y = -(√b)

Solution

Given the equations are

(√a)x - (√b)y = b - a _______(1)

(√b)x - (√a)y = 0 __________(2)

Adding (1) and (2) we have

⇒(√a)x - (√b)y + (√b)x - (√a)y =b - a

⇒ x(√a + √b)-y(√a + √b)=(√b)²-(√a)²

⇒(x - y)(√a + √b)=(√b + √a)(√b - √a)

⇒x - y = √b - √a _________(3)

Substracting 2 from 1 we have

⇒(√a)x - (√b)y - (√b)x + (√a)y =b - a

⇒√a(x + y) - √b(x + y) = (√b)²-(√a)²

⇒(x + y)(√a - √b)= (√b - √a)(√b +√a)

⇒ x + y = -(√b + √a)

⇒ x + y = -√b - √a __________(4)

Adding equation (3) and (4)

⇒ x - y + x + y = √b - √a - √b - √a

⇒ 2x = -2√a

⇒x = - √a

Putting the value of x in (4) we have

-√a + y = -√b -√a

⇒y = -√b

Thus the value of xy is

⇒xy = (-√a)×(-√b)

⇒xy = √(ab)

Answer 2

Answer:

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