Solved: To transform the equation Ax2 + Bxy + Cy2 + Dx +

Chapter 10, Problem 5

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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 _______.

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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:

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