Answer :
(i)
This statement is false
A chord intersect the circle in two points.
OB & OC are radius of circle
But they don't intersect the circle at two points
Hence OB & OC are not the Chord of a circle.
(ii)
The given statement is false
Here AB is a chord as it intersect the circle at two points,
But it does not pass through center O.
So, center of circle does not bisect each chord of the circle.
(iii) This statement is true
Equation of ellipse is
putting a = b
⇒ x2 + y2 = b2
which is the equation of circle.
So, circle is the particular case of ellipse.
(iv) x>y
Multiplying – 1 both sides
(– 1)x<(– 1)y
⇒ – x < – y
If – 1 is multiplied to both L.H.S & R.H.S, sign of inequality changes.
This is the rule of inequality
Hence the given statement is true.
(v) cannot be written in the form of p/q
Hence is irrational.
Hence the given statement is false.
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