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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 34E
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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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