Bissoy.com
Doctors Medicines MCQs Q&A

If focus of parabola is F (2, 5) and equation of directrix is x + y=2, then find the equation of parabola.

If focus of parabola is F (2, 5) and equation of directrix is x + y=2, then find the equation of parabola. Correct Answer x2+y2+2xy-4x-16y+54=0

We know, if P is a point on parabola, M is foot of perpendicular drawn from point P to directrix of parabola and F is focus of parabola then PF=PM (x-2)2+(y-5)2 = (|x+y-2|/√2)2 x2+y2+2xy-4x-16y+54=0.

Related Questions

Steps are given to find focus for a parabola. Arrange the steps. i. Draw a perpendicular bisector EF to BP, Intersecting the axis at a point F. ii. Then F is the focus of parabola. iii. Mark any point P on the parabola and draw a perpendicular PA to the axis. iv. Mark a point B on the on the axis such that BV = VA (V is vertex of parabol
Steps are given to locate the directrix of hyperbola when axis and foci are given. Arrange the steps. i. Draw a line joining A with the other Focus F. ii. Draw the bisector of angle FAF1, cutting the axis at a point B. iii. Perpendicular to axis at B gives directrix. iv. From the first focus F1 draw a perpendicular to touch hyperbola at A.
Steps are given to find the axis of a parabola. Arrange the steps. i. Draw a perpendicular GH to EF which cuts parabola. ii. Draw AB and CD parallel chords to given parabola at some distance apart from each other. iii. The perpendicular bisector of GH gives axis of that parabola. iv. Draw a line EF joining the midpoints lo AB and CD.
If the equation of parabola is 3y2 = 8x then which of the following statements is/are true: Equation of directrix is: 3x + 2 = 0 Equation of axis is: y = 0 Equation of latus rectum is: 3x - 2 = 0
The equation of the directrix line is X=-a, and the focus point is at (a,0), then where is the vertex of the parabola?
Given below are four statements- (p) The second principal focus of a lens is the position of the object, real or virtual whose image is at infinity. (q) The second principal focus of a lens is the position of the image, real or virtual whose object is at infinity. (r) The first principal focus of a lens is the position of the object, real or virtual whose image is at infinity. (s) The first principal focus of a lens is the position of the image, real or virtual whose object is at infinity.  Examine the above statements and find which among then are correct. 
If (4, 0) is the vertex and the y-axis is the directrix of a parabola, then where is its focus?
Find the equation of directrix of parabola y2=100x.
Find the equation of directrix of parabola y2=-100x.
Find the equation of directrix of parabola x2=100y.