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The value of k^2 such that the chord xcosa+ ysina-k=0 of x^2+y^2-16=0 may suspend a right angle at the Centre of the circle is

The value of k^2 such that the chord xcosa+ ysina-k=0 of x^2+y^2-16=0 may suspend a right angle at the Centre of the circle is

Grade:11

1 Answers

ARKADEEP DAS
44 Points
5 years ago
now see parkhi
this is acoordinate geometry based on cartesian and parametric forms
now xcosa+xsina=k
squaring we get x^2 +y^2=k^2- 2xy(sin2a/2)
now sin2a=0
so k^2 = 16
 

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