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Lesson Posted on 18 Aug Parabola

Raj Kumar

I am Six Sigma Black belt trained from American Society of Quality I am 2011 pass out in B.tech from...

The general equation of a conic is ax2 + 2hxy + by2 + 2gx + 2fy +c =0. Here if e =1 where e is eccentricity and D≠ 0, then it represents a parabola The general equation of parabola is (y-y0)2 = (x-x0), which has its vertex at (x0, y0). The general equation of parabola with vertex at (0, 0) is... read more

The general equation of a conic is ax2 + 2hxy + by2 + 2gx + 2fy +c =0.

Here if e =1 where e is eccentricity  and D≠ 0, then it represents a parabola

The general equation of parabola is (y-y0)2 = (x-x0), which has its vertex at (x0, y0).

The general equation of parabola with vertex at (0, 0) is given by y2 = 4ax, and it opens rightwards.

The parabolax2 = 4ay  opens upwards.

The equation y2 = 4ax is  considered to be the standard equation of the parabola for which the various components are

Vertex at (0,0)

Directrix is x+a = 0

Axis is y = 0

Focus is (a, 0)

Length of latus rectum = 4a

Ends of latus rectum are L (a, 2a) and L’(a, -2a)

The parabola y = a(x – h)2 + k has its vertex at (h, k)

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RAJESH N.

Home Tutor

A circle consisting of all points where two perpendicular tangent lines to the ellipse cross each other.
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Expert Tutor

slope=tanθ=(y“-y’)/(x“-x’)=measure of inclination of the line with the positive x-axis. where (x’,y’) and (x“,y“) are the coordinate of any two points on the line.
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Rahul Saxena

If a line be drawn through the focus and parallel to the directrix, it will intersect the parabola at two points that lie a distance 2 p from the focus. The line segment connecting these two points is called the focal chord.
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Mathematician

sp/pm=1 or e=1 where, sp is the distance between focal and any point on the curve and pm is the distance of the point p from directrix.
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Sanjeev Kumar

Physics and maths ,java,j2ee

(m1-m2)/(1+m1m2). Where m1 and m2 are the slope of the tangents.
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What is the equation of parabola if the focus (-a, 0) and the directrix is x = a?

Ankit

JEE/Board Maths Tutor

Square of y = -4ax.
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What do you mean by conormal point?

Sanjeev Kumar

Physics and maths ,java,j2ee

Perpendicular to each other.
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Find the equation of the chord of a parabola with respect to the point (x, y)?

Rajneesh Kumar

Teacher

y*y = 4ax.
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