Q. 14.4( 81 Votes )

In each of the following, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.

y2 = 12x

Answer :

The given equation is y2 = 12x


Here, the coefficient of x is positive.


Hence, the parabola opens towards the right.


On comparing this equation with y2 = 4ax, we get,


4a = 12


a = 3


Thus,


Co-ordinates of the focus = (a, 0) = (3, 0)


Since, the given equation involves y2, the axis of the parabola is the x-axis.


Equation of directrix, x =-a, then,


x + 3 = 0


Length of latus rectum = 4a = 4 × 3 = 12


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Undersatnd Standard Equation Of EllipseUndersatnd Standard Equation Of EllipseUndersatnd Standard Equation Of Ellipse46 mins
Revise Co-normal points on parabola with questionsRevise Co-normal points on parabola with questionsRevise Co-normal points on parabola with questions44 mins
Properties of normal of parabola | Interactive QuizProperties of normal of parabola | Interactive QuizProperties of normal of parabola | Interactive Quiz46 mins
Properties of tangents to parabola | Interactive Quiz TimeProperties of tangents to parabola | Interactive Quiz TimeProperties of tangents to parabola | Interactive Quiz Time40 mins
Co-normal points on parabolaCo-normal points on parabolaCo-normal points on parabola42 mins
Interactive Quiz on Equation of ParabolaInteractive Quiz on Equation of ParabolaInteractive Quiz on Equation of Parabola41 mins
Lecture on Equation of ParabolaLecture on Equation of ParabolaLecture on Equation of Parabola59 mins
Focal chord of parabolaFocal chord of parabolaFocal chord of parabola29 mins
Practise Questions on Standard Equation of EllipsePractise Questions on Standard Equation of EllipsePractise Questions on Standard Equation of Ellipse42 mins
Equation of normal of parabola | Interactive Quiz TimeEquation of normal of parabola | Interactive Quiz TimeEquation of normal of parabola | Interactive Quiz Time44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses