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Real life examples of parabola, Standard forms of Parabola, Definition and geometric proof for parabola, Derivation for equation of parabola, Way to remember all rules of parabolas, Derivation for length of latus rectum of parabola

 NCERT EXERCISE 11.2

In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.

Question 1. $$y^2 = 12x$$
Question 2. $$x^2 = 6y$$
Question 3. $$y^2 = -8x$$
Question 4. $$x^2=-16y$$
Question 5. $$y^2 = 10x$$

Question 6. $$x^2=-9y$$

In each of the Exercises 7 to 12, find the equation of the parabola that satisfies the given conditions:

Question 7. Focus (6,0); directrix x = – 6
Question 8. Focus (0,–3); directrix y = 3
Question 9. Vertex (0, 0); focus (3, 0)
Question 10. Vertex (0, 0); focus (–2, 0)
Question 11. Vertex (0, 0) passing through (2, 3) and axis is along x-axis.