The equations of the tangent to the curve x^2+y^2=10, where the tangent is parallel to the line 2x+y-1=0, are

MHT CET 2026 Mathematics question

The equations of the tangent to the curve , where the tangent is parallel to the line , are

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

Answer: (B)

Solution

The curve is a circle with centre and radius . A tangent parallel to has the form (slope ). It touches the circle when the distance from the centre equals the radius:

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Question ID VK-099411