UP TGT Mathematics Calculus Differentiation Test Series - Part 2

At what points on the curve y = x³ is the slope of the tangent equal to the y-coordinate?

Type: MCQ • Marks: 1
At what points on the curve y = x³ is the slope of the tangent equal to the y-coordinate?
Options
A. (1, 1)
B. (0, 0)
C. (0,0) and (3,27)
D. (2, 8)
Explanation
Set 3x² = x³ => x²(x - 3) = 0 => x = 0 or x = 3. Corresponding points are (0,0) and (3, 27).
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