EXERCISE 5.2

. Find the equation of the parabola in each of the cases given below: (i) focus ( , ) and directrix x = − . (ii) passes through ( , and symmetric about y -axis. (iii) vertex( , and focus( , (iv) end points of latus rectum( , and( , ) .

. Find the equation of the ellipse in each of the cases given below: (i) foci ± , e (ii) foci , ± ) and end points of major axis are , ± ) . (iii) length of latus rectum , eccentricity = , centre ( , ) and major axis on x -axis. (iv) length of latus rectum , distance between foci , centre ( , ) and major axis as y - axis.

. Find the equation of the hyperbola in each of the cases given below: (i) foci ± , eccentricity = . (ii) Centre ( , ) , one of the foci ( , ) and corresponding directrix x = . (iii) passing through , − ) and the transverse axis is along the x axis and of length units.