If the line joining the points (0, 3) and (5, -2) is a tangent to the curve y = c x+1 then the value of c is

JEE Advanced Mathematics question

If the line joining the points and is a tangent to the curve then the value of is

Answer: (C)

The line: slope , so , i.e. . For tangency, must have a repeated root: .

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Question ID VK-109371