Conic section Maths Class 11
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- 6. What is a circle? A circle is a locus of all the points equidistant from a fixed point to the outer boundary. 6
- 7. Circles in Real Life 7
- 8. x2 y 2 r 2 The Standard Form of a circle with a center at (0,0) and a radius ‘r’ is.... e x a m p l e : - x2 y 2 16 Center(0,0) Radius(4units) 8
- 9. (x-h)2 (y - k ) 2 r 2 The Standard Form of a circle with a center at (h,k) and a radius ‘r’ is.... e x a m p l e : - ( x - 3 ) 2 (y - 3 ) 2 2 Center(3,3) Radius(2units) 9
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- 11. What is a parabola ? A parabola is the set of all points in a plane such that each point in the set is equidistant from a line called the directrix and a fixed point called the focus. 11
- 12. Parabola in real life… 12
- 13. Parabola in real life… Four parabolas are created given the four "legs" of the Eiffiel Tower 13
- 14. The Standard Form of a Parabola that opens to the right and has a vertex at (0,0) is…… y2 4px 14
- 15. The Parabola that opens to the right and has a vertex at (0,0) has the following characteristics…… a. p is the distance from the vertex of the parabola to the focus or directrix b. This makes the coordinates of the focus (p,0) c. This makes the equation of the directrix x = -p d. The makes the axis of symmetry the x-axis (y = 0) 15
- 16. The Standard Form of a Parabola that opens to the left and has a vertex at (0,0) is…… y2 -4px 16
- 17. The Parabola that opens to the left and has a vertex at (0,0) has the following characteristics…… a. p is the distance from the vertex of the parabola to the focus or directrix b. This makes the coordinates of the focus(-p,0) c. This makes the equation of the directrix x = p d. The makes the axis of symmetry the x-axis (y = 0) 17
- 18. The Standard Form of a Parabola that opens to the up and has a vertex at (0,0) is…… x2 4py 18
- 19. The Parabola that opens to up and has a vertex at (0,0) has the following characteristics…… a) p is the distance from the vertex of the parabola to the focus or directrix b) This makes the coordinates of the focus (0,p) c) This makes the equation of the directrix y = -p d) This makes the axis of symmetry the y-axis(x = 0) 19
- 20. The Standard Form of a Parabola that opens to the down and has a vertex at (0,0) is…… x2 -4py 20
- 21. The Parabola that opens to down and has a vertex at (0,0) has the following characteristics…… a. p is the distance from the vertex of the parabola to the focus or directrix b. This makes the coordinates of the focus (0,-p) c. This makes the equation of the directrix y = p d. This makes the axis of symmetry the y-axis(x = 0) 21
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