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Coordinate Calculation and Equation Analysis

Determine XY-coordinates after axis rotation, use discriminant to identify equation type, and eliminate xy-term through axis rotation.

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Coordinate Calculation and Equation Analysis

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  1. 1. 2. 3. Determine the XY - coordinates of the point {image} if the coordinate axes are rotated through the angle {image} Choose the answer from the following : • {image} • {image} • {image}

  2. Use the discriminant to determine whether the graph of the equation {image} is a parabola, an ellipse, or a hyperbola. Choose the answer from the following : • hyperbola • ellipse • parabola

  3. 1. 2. 3. Use a rotation of axes to eliminate the xy-term in the equation x2 + 2xy + y2 + 5 x - 5 y = 0 Choose the answer from the following : • {image} • {image} • {image}

  4. 1. 2. 3. Use a rotation of axes to eliminate the xy-term in the equation {image} Choose the answer from the following : • {image} • {image} • {image}

  5. 1. 2. 3. 4. Use a rotation of axes to eliminate the xy-term in the equation {image} Choose the answer from the following • {image} • {image} • {image} • {image}

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