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
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
9
Step-by-step explanation:
answer is 25
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