Concept explainers
To find: whether graph of equation is symmetric with respect to x-axis, y-axis, the line
Answer to Problem 1MCQ
The graph of equation is symmetric to all i.e. x-axis, y-axis, the line
Explanation of Solution
Given information:
Calculation:
Put
If the solution of equation is same as that of any other case, then their graphs are symmetric.
Let’s check whether the given cases are symmetric with the given equation or not by substituting replacing
Check symmetry with | Symmetric with graph equation (Yes/No) | ||
x-axis | Yes | ||
y-axis | Yes | ||
Yes | |||
Yes |
Let’s check whether the graph is symmetric to origin or not. First convert the equation in
Compare the values of
Since,
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