ht line through the point {x, y) is A{x-x) + B{y-if)^0. ... (1)If this be the normal at {x, y), it is perpendicularto the tangent 2ax - yy + 2ax = 0;and the condition for perpendicularity (§ 25) is2aA-yB = 0. ... (2)Introducing in (1) the relation between A and B 116 Analytical Geometry. giveu by… … Let AP be the parabola y- = 4:ax -, P(x, y*) the pointof contact 5 PT, yy = 2a{x + x), the tangent j PF thefocal distance; P^[ the perpendicular on the directrix.Then the angles FPT, 2IPT are equal. The co-ordinates of T are AT, 0. Introducing thesein the equation of the tangent, 0 = AT+x) or AT=…
Geometry, Analytic
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