find the angle subtended by these points P( root 2,root 2) ,Q(- root 2,- root 2) and R (- root 6,root 6)
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Answer:
Byusingdistanceformula
⇒PQ=
0
2
+(2
2
)
2
=2
2
unit
⇒QR=[
(−
6
+
2
)
2
+(
6
+
2
)
2
=
6+2−2
12
+2
12
+6+2
]
⇒QR=
16
=4unit
⇒RP=
(−
6
+
2
)
2
+(
6
−
2
)
⇒RP=
6−2
12
+2+6−2
12
+2
⇒RP=
16−4
12
unit
∴PQ
=QR
=RP
Itisscalenetriangle.
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