If Y is equal to 4 x then it meets at _____
Answers
Answered by
0
Answer:
Let the given equation of parabola is
y
2
=4ax
Let the normal at P(at
1
2
,2at
1
) meets the parabola again at Q(at
2
2
,2at
2
).
Equation of normal at P is given by,
y=−t
1
x+2at
1
+at
1
3
Equation of normal at Q is given by,
y=−t
2
x+2at
2
+at
2
3
So, tanα=−t
1
and tanβ=−t
2
Also, t
2
=−t
1
−
t
1
2
⇒t
1
t
2
+t
1
2
=−2
⇒tanαtanβ+tan
2
α=−2
Step-by-step explanation:
Similar questions