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Mathematics
Problem
Let the tangent to the parabola
S
:
y
2
=
2
x
S: y^2 = 2x
S
:
y
2
=
2
x
at the point
P
(
2
,
2
)
P(2, 2)
P
(
2
,
2
)
meet the x-axis at
Q
Q
Q
and normal at it meet the parabola
S
S
S
at the point
R
R
R
. Then the area (in sq. units) of the triangle
P
Q
R
PQR
P
QR
is equal to: (1)
25
2
\frac{25}{2}
2
25
(2)
35
2
\frac{35}{2}
2
35
(3)
15
2
\frac{15}{2}
2
15
(4) 25
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