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NCERT Exemplar Solutions Class 9 Mathematics Solutions for Circles - Exercise 10.2 in Chapter 10 - Circles
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Through three collinear points a circle can be drawn.
Answer:
False
Justification:
A circle through two points cannot pass through a point which is collinear to these two points.
Hence, the given statement is false.
Video transcript
"hello student
and welcome on a lead or doubt solving
session again
and in today's doubt solving session we
are going to discuss
one more problem related to geometry
all right okay so i will quickly read
the problem first
the statement is given here right
through
three collinear points a circle can be
drawn
right there is a statement and we need
to check
whether this statement is correct or not
all right okay so by just reading the
statement we can just conclude that okay
this statement
is wrong right or it is a false
statement right because circle
can be passed through the okay two
collinear collinear point but it cannot
pass through the
three collinear points right okay
let's understand this with some okay
what i will do to understand
this in a better manner okay i will draw
a circle
right so i will draw a circle quickly
okay i have drawn the circle right okay
now what i will do i will draw one more
line here
all right
okay all right now what i will do i will
just specify the point okay
this is point a
okay this is point b right
and on this line okay i will locate okay
the third point anyway right
okay what i will do i will okay just
look at at the center
right this is point c so now if you
carefully observe that
the circle is passing through point a
and b right
the circle is
passing through
okay point a point
a and point
b right but it does not pause from the
point c right
though c is the center of the circle but
the circle is not
passing from point c right okay that
means
the circles can be passed through the
two collinear points
but it cannot be passed from the third
linear points
all right that's why this statement is
false
all right okay so that's all about
today's session
hope you like this video if you have any
doubt please do comment below
and please subscribe to this channel bye
"
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