5.1/2 of 20 is equal to
(a) 10
(b) 20
(c) 40
(d) 22
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1/2 of 20 is equal to (a) 10.
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Answered by
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Correct option is
(3,−1)
equation of tangent to the
circle x
2
+y
2
=5 at (x
1
,y
1
)
will be xx
1
+yy
1
=5
x×1+y(−2)=5
x−2y=5 or x=(2y+5)
now this is tangent at
circle x
2
+y
2
−8x+6y+20=0
or (2y+5)
2
+y
2
−8(2y+5)+6y+20=0
or 4y
2
+20y+25+y
2
−16y−40+6y+20=0
or 5y
2
+10y+5=0
or y
2
+2y+1=0
(y+1)
2
=0
y=−1
∴x=2(−1)+5=3
∴ point at which tangent
is (3,-1)
⋆ wrong option
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