NCERT Class XI Mathematics - Conic Sections - Solutions
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Question : 15
Total: 71
Does the point (–2.5, 3.5) lie inside, outside or on the circle x 2 + y 2
Solution:
The equation of given circle is x 2 + y 2
⇒( x – 0 ) 2 + ( y – 0 ) 2 ( 5 ) 2
Comparing it with( x – h ) 2 + ( y – k ) 2 r 2
Now, distance of the point (–2.5, 3.5) from the centre (0, 0)
=√ ( 0 + 2.5 ) 2 + ( 0 − 3.5 ) 2 √ 6.25 + 12.25 √ 18.5
$Thus the point (–2.5, 3.5) lies inside the circle.
⇒
Comparing it with
Now, distance of the point (–2.5, 3.5) from the centre (0, 0)
=
$Thus the point (–2.5, 3.5) lies inside the circle.
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