The equation of tangents to the circle x^2 + y^2 = 4 which are parallel to x - 2y + 3 = 0 are

MHT CET 2022 Mathematics question

The equation of tangents to the circle which are parallel to are

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

A line parallel to has the form . It is tangent to the circle of centre and radius when the perpendicular distance from the centre equals the radius: $ = 2 ⇒ |k| = 25 ⇒ k =

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Question ID VK-094041