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Byju's Answer
Standard IX
Mathematics
Locating a Point in Cartesian Plane
If x=5+35-3 a...
Question
If
x
=
5
+
3
5
-
3
and
y
=
5
-
3
5
+
3
, find the value of (x
2
+ y
2
).
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Solution
x
=
5
+
3
5
-
3
and
y
=
5
-
3
5
+
3
x
2
=
5
+
3
5
-
3
2
=
5
+
3
+
2
15
5
+
3
-
2
15
=
8
+
2
15
8
-
2
15
y
2
=
5
-
3
5
+
3
2
=
5
+
3
-
2
15
5
+
3
+
2
15
=
8
-
2
15
8
+
2
15
Now
,
x
2
+
y
2
=
8
+
2
15
8
-
2
15
+
8
-
2
15
8
+
2
15
=
8
+
2
15
2
+
8
-
2
15
2
8
-
2
15
8
+
2
15
=
8
2
+
2
15
2
+
2
×
8
×
2
15
+
8
2
+
2
15
2
-
2
×
8
×
2
15
8
2
-
2
15
2
=
64
+
60
+
32
15
+
64
+
60
-
32
15
64
-
60
=
248
4
=
62
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1
Similar questions
Q.
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or
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√
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and
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Q.
If
x
=
5
+
3
5
-
3
and
y
=
5
-
3
5
+
3
, then x + y +xy=
(a) 9
(b) 5
(c) 17
(d) 7
