Which point does not lie on the circle centered at (3, 2) with radius 5?
1 answer:
The complete question in the attached figure
we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where
(h,k) is the center
and
r is the radius
so
(x-h)²+(y-k)²=r²------> (x-3)²+(y-2)²=5²
case A) point (0,6)
for x=0 and y=6
(0-3)²+(6-2)²=5²------> 9+16=5²-----> 25=25
<span>the point lie on the circle
</span>case B) point (3,-3)
for x=3 and y=-3
(3-3)²+(-3-2)²=5²------> 0+25=5²-----> 25=25
the point lie on the circle
case C) point (-2,2)
for x=-2 and y=2
(-2-3)²+(2-2)²=5²------> 25+0=5²-----> 25=25
the point lie on the circle
case D) point (3,0)
for x=3 and y=0
(3-3)²+(0-2)²=5²------> 0+4=5²-----> 4 is not 25
the point not lie on the circle
the answer is
point (3,0) not lie on the circle
we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where
(h,k) is the center
and
r is the radius
so
(x-h)²+(y-k)²=r²------> (x-3)²+(y-2)²=5²
case A) point (0,6)
for x=0 and y=6
(0-3)²+(6-2)²=5²------> 9+16=5²-----> 25=25
<span>the point lie on the circle
</span>case B) point (3,-3)
for x=3 and y=-3
(3-3)²+(-3-2)²=5²------> 0+25=5²-----> 25=25
the point lie on the circle
case C) point (-2,2)
for x=-2 and y=2
(-2-3)²+(2-2)²=5²------> 25+0=5²-----> 25=25
the point lie on the circle
case D) point (3,0)
for x=3 and y=0
(3-3)²+(0-2)²=5²------> 0+4=5²-----> 4 is not 25
the point not lie on the circle
the answer is
point (3,0) not lie on the circle
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Answer: b. Only statement (ii) is correct.
Step-by-step explanation:
The given five-number summary of the ages of passengers on a cruise ship is listed below.
Min 1 20 Median 29
38 Max 80
Inter-quartile range =
- According to the 1.5(IQR) criterion for outliers : An data value is an outlier if it lies below
or above
.
Here ,
Since the minimum value> ( ∵ 1 > -7)
It means there is no value below , so there is no low -outlier.
⇒ Statement (i) "here is at least one passenger whose age is a low outlier. " is false.
But the maximum value > (∵ 85 > 65)
It means there are values above .
⇒Statement (ii) "There is at least one passenger whose age is a high outlier" is true.
Hence, the correct answer is b. Only statement (ii) is correct.