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:

the value of a² + b² = 25

Step-by-step explanation:

squaring both the equations

we have

a²x² + b²y² + 2abxy = 9

b²x² + a²y² - 2abxy = 16

adding both equations

(a² + b²)x² + (a² + b²)y² = 25

given x² + y² = 1

so

(a² + b²) (x² + y²) = 25

thus

a² + b² = 25