Pratikriya
← Back to practice

JEE Advance 2025 Paper 1

JEE Advance · 2025

94 questions · One at a time

Answers and solutions are AI-generated — please cross-check with your study materials.

View question paper
View all
5
MCQ4 marks

Let L1L_1   be the line of intersection of the planes 2x+3y+z=42x + 3y + z = 4   and x+2y+z=5x + 2y + z = 5  . Let L2L_2   be the line passing through the point P(2,−1,3)P(2, -1, 3)   and parallel to L1L_1  . Let MM   denote the plane 2x+y−2z=62x + y - 2z = 6  . Suppose L2L_2   meets MM   at QQ  . Let RR   be the foot of the perpendicular from PP   to MM  . Then which of the following is TRUE?

  • A.The length of the line segment PQ is 939\sqrt{3}Correct
  • B.The length of the line segment QR is 15
  • C.The area of ΔPQR\Delta PQR   is 32234\frac{3}{2}\sqrt{234}Correct
  • D.The acute angle between PQ and PR is cos⁡−1(1/23)\cos^{-1}(1/2\sqrt{3})
5 of 94
Browse more practice