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Joint Entrance Examination
Mathematics
Parabola
Question 40
Question 40 of 198
Medium
NUMERICAL
Let
A
A
A
and
B
B
B
be the two points of intersection of the line
y
+
5
=
0
y+5=0
y
+
5
=
0
and the mirror image of the parabola
y
2
=
4
x
y^2=4 x
y
2
=
4
x
with respect to the line
x
+
y
+
4
=
0
x+y+4=0
x
+
y
+
4
=
0
. If
d
d
d
denotes the distance between
A
A
A
and
B
B
B
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Official solution
=
1
2
×
4
×
5
=
10
=
a
6
=
4
a
+
d
=
14
\begin{gathered} =\frac{1}{2}\times 4\times 5=10=a \\ 6 =4 \\ a+d=14 \end{gathered}
=
2
1
×
4
×
5
=
10
=
a
6
=
4
a
+
d
=
14
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