Circle And System Of Circles Question 58

Question: The condition that the line $ x\cos \alpha +y\sin \alpha =p $ may touch the circle $ x^{2}+y^{2}=a^{2} $ is

[AMU 1999]

Options:

20

30

40

50

Show Answer

Answer:

Correct Answer: C

Solution:

Length of tangent = $ \sqrt{3^{2}+{{(-4)}^{2}}-4,(3),-6,(-4)+3} $

$ =\sqrt{40} $

$ \therefore $ Square of length of tangent $ =40 $ .



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