For which values of does the line meet the parabola in two distinct points?
Answer and explanation
Correct answer: B. All real
- Step 1: Equating gives , that is . Step 2. Its discriminant is , which is positive for every real , so there are always two distinct intersections. **Answer: all real . Why not the others:** the sign of the slope is irrelevant, the discriminant has not because the constant term is , and a horizontal line is only one case among many.
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