Question

if (x-4, 15)=(2, 16-y) then the value of x² + y². give correct answer with steps ​

Answer 1

hope this answer helps you

Answer 2

Explanation:

Given :-

(x-4, 15)=(2, 16-y)

To find :-

Find the value of x^2 + y^2 ?

Solution :-

Given that

(x-4, 15)=(2, 16-y)

On Comparing both sides then

x-4 = 2 and 15 = 16-y

=> x - 4 = 2

=> x = 2+4

=> x = 6

and

16-y = 15

=> 16 = 15+y

=> 16-15 = y

=> 1 = y

=> y = 1

Therefore, x = 6

On squaring both sides then

=> x ^2 = 6^2 = 6×6 = 36

y = 1

On squaring both sides then

y^2 = 1^2 = 1×1 = 1

Now

x^2 + y^2

=> 36 + 1

=> 37

Answer:-

The value of x^2 + y^2 for the given problem is 37

Used Concept:-

If (a,b)=(x,y)=>a = x and b= y

If two points are equal then both abscissae are equal and both ordinates are equal.