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Lesson Posted on 18/08/2018 Learn Parabola

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)

 

 

 

Parabolay2 = 4ax

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Answered on 09/12/2016 Learn Parabola +2 Class XI-XII Tuition (PUC) Mathematics

What is director circle?

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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Answered on 25/02/2018 Learn Parabola +2 Class XI-XII Tuition (PUC) Mathematics

What is the slope of the tangent?

Salman Ahmad Siddiqui

CSAT Tutor, BPSC DI Tutor (Ex. Drishti IAS Senior Content Writer)

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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Answered on 05/12/2016 Learn Parabola +2 Class XI-XII Tuition (PUC) Mathematics

What is focal chord?

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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Answered on 10/12/2016 Learn Parabola +2 Class XI-XII Tuition (PUC) Mathematics

What do you mean by parabola?

Sri Veera Bhadraswamy

Iitian and masters degree holder in mathematics from IIT(MADRAS)14 YEARS TEACHING EXPERIENCE ln teac

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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Answered on 01/12/2016 Learn Parabola +2 Class XI-XII Tuition (PUC) Mathematics

What do you mean by eccentricity?

Abhilash

Teacher

In mathematics, the eccentricity, denoted e or {\displaystyle \varepsilon } \varepsilon, is a parameter associated with every conic section. It can be thought of as a measure of how much the conic section deviates from being circular. In particular, The eccentricity of a circle is zero. The eccentricity... read more
In mathematics, the eccentricity, denoted e or {\displaystyle \varepsilon } \varepsilon, is a parameter associated with every conic section. It can be thought of as a measure of how much the conic section deviates from being circular. In particular, The eccentricity of a circle is zero. The eccentricity of an ellipse which is not a circle is greater than zero but less than 1. The eccentricity of a parabola is 1. The eccentricity of a hyperbola is greater than 1. The eccentricity of a line is infinite. Furthermore, two conic sections are similar (identically shaped) if and only if they have the same eccentricity. read less
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Answered on 12/12/2016 Learn Parabola +2 Class XI-XII Tuition (PUC) Mathematics

What is the angle between the two tangents?

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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Answered on 09/12/2016 Learn Parabola +2 Class XI-XII Tuition (PUC) Mathematics

What is latus rectum?

Ankit

JEE/Board Maths Tutor

In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum. For example, in parabola: square of y=4ax, the equation of the latus ractum y=a and its length=4a; in ellipse: square of (x/a) + square of (y/b)=1, a>b,... read more
In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum. For example, in parabola: square of y=4ax, the equation of the latus ractum y=a and its length=4a; in ellipse: square of (x/a) + square of (y/b)=1, a>b, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a; in hyperbola: square of (x/a) - square of (y/b)=1, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a; read less
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Answered on 12/12/2016 Learn Parabola +2 Class XI-XII Tuition (PUC) Mathematics

What do you mean by conormal point?

Sanjeev Kumar

Physics and maths ,java,j2ee

Perpendicular to each other.
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Answered on 13/12/2016 Learn Parabola +2 Class XI-XII Tuition (PUC) Mathematics

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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