Question

If2×4^a-3=16^a÷8^1-a

`.`
2×4^a-3= 16^a÷8^1-a
​

Answer 1

Correct option is

B

10

Given2

2x−y

=32

⇒2

2x−y

=2

5

⇒2x−y=5−−−−(1)

Again2

x+y

=16

⇒2

x+y

=2

4

⇒x+y=4−−−−(2)

Adding(1)and(2)weget

3x=9

⇒x=3

Substitutingx=3in(2)weget

y=1.

∴x

2

+y

2

=3

2

+1

2

=10(Ans)