The Slope Of The Tangent To The Curve Represented By x = t2 + 3t – 8 And Y = 2t2 – 2t – 5 At The Point M (2, –1) Is

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The slope of the tangent to the curve represented by x = t2 + 3t – 8 and y = 2t2 – 2t – 5 at the point M (2, 1) is


Correct option is


We first determine the value of t corresponding to the given value of x andy. From t2 + 3t – 8 = 2, we get t = 2, –5, and from 2t2 – 2t – 5 = –1, we get t = 2, –1. Hence to the given point there corresponds the value t = 2. Therefore, the slope of the tangent at (2, –1) is   




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