Question
Question: The locus of the point of intersection of two tangents to the parabola y<sup>2</sup> = 4ax which mak...
The locus of the point of intersection of two tangents to the parabola y2 = 4ax which make an angle 45o with one another is
A
3(y2- 4ax) = (x+a)2
B
y2 - 4ax = 3(x+a)2
C
y2 - 4ax = (x+a)2
D
y2 - 4ax = 2(x+a)2
Answer
y2 - 4ax = (x+a)2
Explanation
Solution
tanα = x1+aS11
∴ tan450 = x1+ay12−4ax1
∴ The locus of (x1, y1) is y2 – 4ax = (x+a)2.