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Mathematics Preparation for Engineering Entrance

Shared from JEE Main Mock - 1 on Jul 24, 2020 7:32 AM

The triangle formed by the tangent to the curve f(x) = x2 + bx - b at the point (1, 1) and the coordinate axes lies in the first quadrant. If its area is 2, then the value of b is

 
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First of all, How is (1,1) lying on the curve?