To solve the equations of lines, where
Answer to Problem 94E
The intersection of parabola and line depends on the nature of roots of the polynomial of degree 2.
Explanation of Solution
Given information: The equation of parabola is:
Let us the equation of line is:
Concept used: To get the point of intersection of the line and the parabola, substitute
- If the roots of the equation are real and distinct, then Lines intersect at two points.
- If the roots of the equation are real and equal, then Lines intersect at onepoints.
- If the roots of the equation are imaginary, then Lines never intersect.
Calculation:
Put the value
The eq. (1) becomes as:
If
If
If
Hence, the intersection of parabola and line depends on the nature of roots of the polynomial of degree 2.
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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