Question

Two particles start moving in the
X
Y
-plane from
M
to
N
. A particle detector is kept at the location
C
. The detector gives a signal if a particle touches the
X
−
axis and detects the distance of the particle from the location
C
. The particle
A
follows a downward facing parabolic path represented by
−
x
2
+
b
x
+
c
with a vertex
P
, where
b
,
c
are integers. The second particle
B
moves along a linear path.
The position of the detector is such that the square of the magnitude of
C
M
is 2 times of the square of the perpendicular distance of the point
C
from the line
M
N
.
If the minimum distance from the point
C
along the
X
-axis where particle A can be detected by the detector is
k
unit, then find the value of
k
.

Answer 1

Answer:

B

Step-by-step explanation: