Question
Question: The locus of the mid points of the chords of the parabola y<sup>2</sup> = 4ax which passes through ...
The locus of the mid points of the chords of the parabola
y2 = 4ax which passes through a given point (a, b)
A
y (y – b) = 2a (x – a)
B
y – b = a (x – a)
C
y – b = 2a (x – a)
D
None of these
Answer
y (y – b) = 2a (x – a)
Explanation
Solution
Equation of the chord whose midpoint is (h, k)
K (y – k) = 2a (x – h)