7 The end points of the latusrectum of a parabolaare (7, 5) and (7, 3)

1.	7 The end points of the latusrectum of a parabolaare (7, 5) and (7, 3), then possible coordinates ofits vertex are13(13241515242
Answer» Length of latus rectum is = 4a => (7,5) -(7,3) = 4a=> 4a = √(7-7)²+(5-3)² = 2=> a = 2/4 = 1/2 now focus will be have y coordinate as mid point of (7,5) and (7,3) = (7,4) and x coordinate of vertex is "a" distance from focus so, the x coordinates are = 7±1/2 = 13/2 and 15/2 so, possible points are (13/2, 4) and (15/2,4) option A and D

7 The end points of the latusrectum of a parabolaare (7, 5) and (7, 3), then possible coordinates ofits vertex are13(13241515242

Answer»

Length of latus rectum is = 4a

=> (7,5) -(7,3) = 4a=> 4a = √(7-7)²+(5-3)² = 2=> a = 2/4 = 1/2

now focus will be have y coordinate as mid point of (7,5) and (7,3) = (7,4)

and x coordinate of vertex is "a" distance from focus

so, the x coordinates are = 7±1/2 = 13/2 and 15/2

so, possible points are (13/2, 4) and (15/2,4)

option A and D