LL' is the latus rectum of a parabola, y 2 = 4ax, a > 0. Find the co-ordinates of points L and L'. - Wired Faculty

Binomial Theorem

Question

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

Solution

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' be $space space left parenthesis straight alpha comma space minus straight beta right parenthesis$ 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).

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Binomial Theorem

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

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For Daily Free Study Material Join wiredfaculty

Binomial Theorem

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

Some More Questions From Binomial Theorem Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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