Lesson Posted 2 days ago Parabola

Raj Kumar

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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 ax^{2} + 2hxy + by^{2} + 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-y_{0})^{2} = (x-x_{0}), which has its vertex at (x_{0}, y_{0}).** **

The general equation of parabola with vertex at (0, 0) is given by y^{2} = 4ax, and it opens rightwards.

The parabolax^{2} = 4ay opens upwards.

The equation y^{2} = 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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Comments Answered on 09/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Parabola

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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Answers 9 Comments Answered on 25 Feb CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Parabola

Salman Ahmad Siddiqui

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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Answers 6 Comments Answered on 05/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Parabola

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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Answers 5 Comments Answered on 10/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Parabola

Sri Veera Bhadraswamy iit madras

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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Answers 3 Comments Asked on 14/11/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Parabola

Answers 4

Answered on 12/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Parabola

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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Answers 4 Comments Answered on 09/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Parabola

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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Answers 2 Comments Answered on 12/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Parabola

What do you mean by conormal point?

Sanjeev Kumar

Physics and maths ,java,j2ee

Perpendicular to each other.

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Answers 2 Comments Answered on 13/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Parabola

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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