The line y = x + 1 is a tangent to the curve y² = 4x at the point:
The line y = x + 1 is a tangent to the curve y² = 4x at the point:
- A. (1, 2)
- B. (2, 1)
- C. (1, -2)
- D. (-1, 2)
Answer: A) (1, 2)
Explanation: Slope of line y = x + 1 is 1. For curve y² = 4x, dy/dx = 2/y. Setting 2/y = 1 gives y = 2. Putting y = 2 in y² = 4x gives 4 = 4x, so x = 1. Point is (1, 2).
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