LL is the latus rectum of a parabola, y2 = 4ax, a > 0. Find the co-ordinates of points L and L . - Zigya
Advertisement

LL' is the latus rectum of a parabola, y2 = 4ax, a > 0. Find the co-ordinates of points L and L'.


Equation of parabola is y2 = 4ax.
rightwards double arrow   The focus is at S (a, 0).
∴     OS = a
Let coordinates of point L be left parenthesis straight alpha comma space straight beta right parenthesis and of L' bespace space left parenthesis straight alpha comma space minus straight beta right parenthesis with straight beta greater than 0
∴            straight beta squared equals 4 straight a left parenthesis straight a right parenthesis space equals space 4 straight a squared space rightwards double arrow space straight beta space equals space 2 straight a
∴            Coordinates of L are (a, 2a) and of L' are (a, -2a).
                                    

94 Views

Advertisement

Conic Section

Hope you found this question and answer to be good. Find many more questions on Conic Section with answers for your assignments and practice.

Mathematics

Browse through more topics from Mathematics for questions and snapshot.