Definition of conic:
A conic section or conic is the locus of a point, which moves such that its distance from a fixed point is in a constant ratio to its distance from a fixed straight line, not passing through the fixed point.
(i) The fixed point is called as focus.
(ii) The fixed straight line is called as directrix.
(iii) The constant ratio is called the eccentricity of the conic and is represented by e.
(iv) When the eccentricity is unity; that is, e = 1, the conic is called as parabola; when e < 1, the conic is called as ellipse; and when e > 1, the conic is called as hyperbola.
(v) The line of symmetry of conic section is called as axis of it.
(vi) A point of intersection of a conic with its axis is called vertex.
(vii) The chord of a conic which passes through focus and perpendicular to the axis is called as latus rectum.
General equation of conic
Let S (α, β) be the focus and Ax + By + C = 0 be the equation of directrix QN of conic section.
Let P (x, y) be any point on it and let PN⊥QN.
If 'e' be eccentricity of the conic, then by definition,
![555_Definition of conic1.png](https://www.expertsmind.com/CMSImages/555_Definition%20of%20conic1.png)
which on simplification takes the form
|
![160_Definition of conic.png](https://www.expertsmind.com/../CMSImages/160_Definition of conic.png)
|
ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 ......(2)
here a, b, c, f, g and h are constants. (2) being the locus of P, is equation
Email based Definition of conic Assignment Help -Definition of conic Homework Help
We at www.expertsmind.com offer email based Definition of conic assignment help - homework help and projects assistance from k-12 school level to university and college level and engineering and management studies. We provide finest service of Mathematics assignment help and Mathematic homework help. Our experts are helping students in their studies and they offer instantaneous tutoring assistance giving their best practiced knowledge and spreading their world class education services through e-Learning program.
Expertsmind's best education services
- Quality assignment-homework help assistance 24x7 hrs
- Best qualified tutor's network
- Time on delivery
- Quality assurance before delivery
- 100% originality and fresh work