Match the following. Equation of the parabola is y2=4ax
Column 1Column 2P) Focal distanceT) Focal chord perpendicular to axisQ) Double ordinateU) A chord perpendicular to axisR) Latus rectumV) Distance of a point on parabola from directrixS) VertexW) Meeting point of axis and parabola
P - V, Q - U, R - T, S - W
P) Focal distance: As the name suggests it is the distance of a point on parabola from the focus. But since the eccentricity of parabola is one, PSPM=e=1⇒ PS=PM or the distance from focus is equal to distance from directrix.
Q) Double ordinate is a chord of parabola perpendicular to axis or in this case x-axis
R) Latus rectum is a chord of the parabola perpendicular to axis and passing through focus. It is the line x = a in this case
S) Vertex of the parabola is the meeting point of axis and parabola. It is origin in this case.