Engineering Board Exam Reviewer · Conic Sections and Transformation of Axes · medium

Through what acute angle must the axes be rotated to eliminate the xy-term of x2-2 3,xy+3y2+4x=0? Give the answer in degrees.

  1. 60°
  2. 15°
  3. 45°
  4. 30°

Answer

D. 30°

Solution

2 =B/A-C=-2 3/1-3= 3 2 =60°, so =30°.

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