8. If P = {x:x<5 and x e W} and Q = {x:x2 < 20 and x € W), check whether P and Q are equal
or equivalent.
and B
x. g. zł. Is B > A or A 5B? Give reasons
Answers
Answered by
1
Answer:
P and Q are equal because in both set we have same elements they are {0,1,2,3,4}.
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Answer:
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If the distance of P(x,y) f...
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Asked on October 15, 2019 by
Tusharika Mathane
If the distance of P(x,y) from A(5,1) and B(-1,5) are equal, then prove that 3x = 2y.
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ANSWER
A(5,1)≡(x
1
,y
1
)
B(−1,5)≡(x
2
,y
2
)
P≡(x,y)
PA=PB ....(given)
∴ By distance formula
(x−x
1
)
2
+(y−y
1
)
2
we have,
⇒(x−5)
2
+(y−1)
2
=(x+1)
2
+(y−5)2
⇒x
2
−10x+25+y
2
−2y+1=x
2
+2x+1+y
2
−10y+25
∴−2y+10y=2x+10x
∴8y=12y
2y=3x. [henceproved]
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