Question

If ax+by=3,bx-ay=4 and x square+y square=1,then the value of a square+b square is​

Answer 1

Answer:

a² + b² = 25

Step-by-step explanation:

ax + by = 3 _____(equation 1)

take a square both side

a²x² + b²y² + 2abxy = 9

bx - ay = 4 _____(equation 2)

take square both side

b²x² + a²y² - 2abxy = 16

add equation (1) and (2)

x²(a²+b²) + y²(a²+b²) = 25

from question

x² + y² = 1

so

a² + b² = 25

Are you satisfied with my answer