The equations of the tangents to the circle x^2+y^2=36 which are perpendicular to the line 5x+y-2=0 are

MHT CET 2025 Mathematics question

The equations of the tangents to the circle which are perpendicular to the line are

Answer: (A)

The given line has slope , so a perpendicular line has slope . A tangent of slope to is . With : , i.e. , or

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Question ID VK-102408