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(a) A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis. (b) Find the eccentricity of an ellipse- x² y² + q² = 1 whose latus rectum is half of its major axis. 6²

(a) A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis. (b) Find the eccentricity of an ellipse- x² y² + q² = 1 whose latus rectum is half of its major axis. 6²

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis. (b) Find the eccentricity of an ellipse- x² y² + q² = 1 whose latus rectum is half of its major axis. 6²
Transcribed Image Text:(a) A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis. (b) Find the eccentricity of an ellipse- x² y² + q² = 1 whose latus rectum is half of its major axis. 6²
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