Math, asked by sonujolly1539, 11 months ago

A x + b y equal to 3, b x minus y equal to 4 and x square + y square is equal to 1 then find the value of a square + b square

Answers

Answered by priyanshusingh1388
5

Answer:

answer is, 25

Step-by-step explanation:

Given that, x

2

+y

2

=1

ax+by=3....(1)

bx−ay=4....(2)

On squaring and adding equation (1) and (2),

(ax+by)

2

+(bx−ay)

2

=(3)

2

=(4)

2

a

2

x

2

+b

2

y

2

+2axby+b

2

x

2

+a

2

y

2

−2abxy=9+16

x

2

(a

2

+b

2

)+y

2

(a

2

+b

2

)=25

(x

2

+y

2

)(a

2

+b

2

)=25

1×(a

2

+b

2

)=25

a

2

+b

2

=25.

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Answered by Anonymous
9

Step-by-step explanation:

answer is 25

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