Motion in a Plane

JEE Main 2025 (Online) 23rd January Morning ShiftNumericalEasy📈 Topic in 3% papers+4

Ques. 1JEE Main 2025, 23 January (Morning Shift)

Two particles are located at equal distance from origin. The position vectors of those are represented by A=2 i+3n j+2 k and B=2 i-2 j+4p k, respectively. If both the vectors are at right angle to each other, the value of n-1 is .

Answer

Solution

Equal distances: | A|=| B| 9n2=16p2 p= 3n4

Right angle: A B=4-6n+8p=0

p=+ 3n4 gives 4=0 (impossible); p=- 3n4 gives 4-12n=0 n= 13

n-1=3

Answer: 3

Keep practising — Motion in a Plane

Ques. 2JEE Main 2025, 23 January (Evening Shift)

A ball having kinetic energy KE, is projected at an angle of 60 from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?

(KE)2
(KE)8
(KE)4
(KE)16

Ques. 3JEE Main 2025, 22 January (Morning Shift)

A particle is projected at an angle of 30 from horizontal at a speed of 60 m/s. The height traversed by the particle in the first second is h0 and height traversed in the last second, before it reaches the maximum height, is h1. The ratio h0:h1 is . [Take, g=10 m/s2 ]

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