Question

Two particles start moving in the XY-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 −x2+bx+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 CM is 2 times of the square of the perpendicular distance of the point C from the line MN.
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:

-1.

Step-by-step explanation:

two particles start moving in XY plane