The tangent line at (2, 4) to the curve y = x3−3x+2 meets the x-axis at

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(2, 0)

72,0

119,0

149,0

answer is D.

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Detailed Solution

dydx=3x2-3=3x2-1dydxx=2=3(4-1)=9Equation of tangent at (2, 4) isY – 4 = 9(X – 2)This meets x-axis if Y = 0 ⇒ -49=X-2 ⇒ X=2-49=149

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