To choose: The incorrect option from the following options.
A. 0
B. 1
C. 2
D. 3
E. 5
The incorrect option is (e).
Given Information:
The statement is “the number of solution of a system of two equations in two variables, whose graphs are a circle and a parabola.”
Explanation:
Consider the given information,
Try to imagine all possible systems consisting of a circle and a parabola and the respective possible points of intersection.
As shown in the graph, the circle is kept in a fixed position as the parabola moves, indicating the possible circle−parabola configuration within the system.
So there is no solution, so the option (a) is correct.
And,
So there is 1 solution, so the option (b) is correct.
And,
So there is 2 solution, so the option (c) is correct.
And,
So there is 3 solution, so the option (d) is correct.
And,
So there is 4 solution, which is the maximum number of solution for the given condition. So, the option (e) is incorrect.
Therefore, the required option is (e).
Chapter 7 Solutions
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