IIT JEE mathematics questions

Which Types Mathematics Subject Questions asking in joint entrance exam of Indian Institute of technology please tell me abut this because I want to do participate in the joint entrance exam of this institute so ask you about this

[Saksham]

Here I am giving you questions of the Mathematics of joint entrance exam of Indian Institute of technology as below:-

1. The point P is the intersection of the straight line joining the points Q(2,3,5) and R(1, -1, 4) with the plane5x - 4y - z = 1. If S is the foot of the perpendicular drawn from the point T(2, 1,4) to QR, then the length of the line segment PS is
(A)1 by Root 2
(B) 2
(C) Root 2
(D) 2 Root 2

To get more questions you can see given below attachment:-