A. Equation of the line passing through the point (1, 2, 3) and parallel to the vector 3i^+2j^−2k^ is 3x−1=2y−2=−2y−3.
B. Equation of line passing through (1, 2, 3) and parallel to the line given by 3x+3=54−y=6z+8 is 3x−1=5y−2=6z+3.
C. Equation of line passing through the origin and (5, -2, 3) is 5x=−2y=3z.
D. Equation of plane passing through the point (1, 2, 3) and perpendicular to the line with direction ratio's 2, 3, -1 is 2(x−1)+3(y−2)−1(z−3)=0.
E. Equation of plane with intercepts 2, 3 and 4 on x, y and z-axis respectively is 2x+3y+4z=1.
Choose the correct answer from the options given below:
Held on 25 May 2023 · Verified 13 Jul 2026.
A, E only
A, C, D only
C, D, E only
E only
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