Mathematics
Assertion (A): From a point P, 10 cm away from the centre of a circle, a tangent PT of length 8 cm is drawn, then the radius of the circle is 5 cm.
Reason (R): In a circle, radius through the point of contact is perpendicular to the tangent.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Circles
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Answer
In a circle, radius through the point of contact is perpendicular to the tangent.
In right angled triangle OPT,
OP2 = OT2 + PT2
102 = OT2 + 82
OT2 = 100 - 64
OT2 = 36
OT = 6 cm.
Assertion (A) is false.
In a circle, the radius through the point of contact is perpendicular to the tangent is true.
Reason (R) is true.
A is false, R is true
Hence, option 2 is the correct option.
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