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Soni Sowal

· started a discussion

· 1 Months ago

solution (Question: 198236.0 )

give solution

Question:
If the angle between two radii of a circle is 130º, then the angle between the tangents at the ends of the radii is –
Options:
A) 65º
B) 50º
C) 40º
D) 70º
Solution:
Ans: (b)



Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Already solution has been given.

Alternate solution:

O is the centre of the circle.

Given, <POQ = 130º

PT and QT are tangents drawn from external point T to the circle

<OPT = <OQT = 90º [ Radius is perpendicular to the tangent at point of contact]

In quadrilateral OPTQ,

<PTQ + <OPT + <OQT + <POQ = 360º

=> <PTQ + 90º + 90º + 130º = 360º

=> <PTQ = 360º – 310º = 50º

Thus, the angle between the tangents is 50º.

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