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d. - A right – angled trianled ABC is inscribed in parabola y² = 4x, where A is the vertex of the parabola and /BAC = π/2. If AB = √√5, then find the area of ▲ ABC. b. AP is perpendicular to PB, where A is the vertex of the parabola y² = 4xand P is on the parabola. B is on the axis of the parabola. Then find the locus of the centroid of A PAB.

d. - A right – angled trianled ABC is inscribed in parabola y² = 4x, where A is the vertex of the parabola and /BAC = π/2. If AB = √√5, then find the area of ▲ ABC. b. AP is perpendicular to PB, where A is the vertex of the parabola y² = 4xand P is on the parabola. B is on the axis of the parabola. Then find the locus of the centroid of A PAB.

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 right – angled trianled ABC is inscribed in parabola y² = 4x, where A is the vertex of the parabola and /BAC = π/2. If AB = √5, then find the area of A ABC. b. AP is perpendicular to PB, where A is the vertex of the parabola y² = 4xand P is on the parabola. B is on the axis of the parabola. Then find the locus of the centroid of A PAB.
Transcribed Image Text:a. A right – angled trianled ABC is inscribed in parabola y² = 4x, where A is the vertex of the parabola and /BAC = π/2. If AB = √5, then find the area of A ABC. b. AP is perpendicular to PB, where A is the vertex of the parabola y² = 4xand P is on the parabola. B is on the axis of the parabola. Then find the locus of the centroid of A PAB.
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