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Solved: To transform the equation Ax2 + Bxy + Cy2 + Dx +
Chapter 10, Problem 5(choose chapter or problem)
QUESTION:
To transform the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, B 0 into one in x and y without an xy@term, rotate the axes through an acute angle u that satisfies the equation _______.
Questions & Answers
QUESTION:
To transform the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, B 0 into one in x and y without an xy@term, rotate the axes through an acute angle u that satisfies the equation _______.
ANSWER:Step 1 of 2
The second-degree equation is.
We rotate the axes through an angle. In terms of rotatingsystem, the general second-degree equation can be written as:
On expanding and simplifying the above equation, we get: