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in Mathematics by (69.5k points)

Consider a circle x2 + y2 = 4 and a point P(4, 2). θ denotes the angle enclosed by the tangents from P on the circle and A, B are the points of contact of the tangents from P on the circle.

 The intercept made by a tangent on the x-axis is

(A) 9/4

(B) 10/4

(C) 11/4

(D) 12/2

1 Answer

+1 vote
by (74.3k points)
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Best answer

Correct option (B) 10/4

Explanation:

The tangents are y = 2 & 4x – 3y – 10 = 0

∴ Intercepts made on x axis by 2nd tangent 

= 10/4 = 5/2

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