Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

3D Geometry question

2024 · 31 Jan · Shift 2 · Q34
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /3D Geometry
  5. /2024 · 31 Jan · Shift 2 · Q34

3D Geometry question

2024 · 31 Jan · Shift 2 · Q34

JEE MainMathematics3D GeometryMCQ+4 / −1
Let (α,β,γ)(\alpha, \beta, \gamma)(α,β,γ) be the mirror image of the point (2,3,5)(2,3,5)(2,3,5) in the line x−12=y−23=z−34\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}2x−1​=3y−2​=4z−3​. Then, 2α+3β+4γ2 \alpha+3 \beta+4 \gamma2α+3β+4γ is equal to
  1. A
    32
  2. B
    31
  3. C
    33
  4. D
    34
PreviousNext

More from 3D Geometry

  • The shortest distance, between lines L1​ and L2​, where L1​:2x−1​=−3y+1​=2z+4​ and L2​ is the line, passing through the points A(−4,4,3),B(−1,6,3) and perpendicular to the line −2x−3​=3y​=1z−1​…2024 · MCQ
  • A line passes through A(4,−6,−2) and B(16,−2,4). The point P(a,b,c), where a,b,c are non-negative integers, on the line AB lies at a distance of 21 units, from the point A. The distance between the points P(a,b,c) and Q(4,−12,3)…2024 · Numerical
  • The shortest distance between the lines 1x−5​=2y−2​=−3z−4​ and 1x+3​=4y+5​=−5z−1​ is :2023 · MCQ
  • One vertex of a rectangular parallelopiped is at the origin O and the lengths of its edges along x,y and z axes are 3,4 and 5 units respectively. Let P be the vertex (3,4,5). Then the shortest distance…2023 · MCQ
  • If the lines 2x−1​=−32−y​=αz−3​ and 5x−4​=2y−1​=βz​ intersect, then the magnitude of the minimum value of 8αβ is ​.2023 · Numerical
  • The shortest distance between the lines 4x−4​=5y+2​=3z+3​ and 3x−1​=4y−3​=2z−4​ is :2023 · MCQ
  • The shortest distance between the lines 1x+2​=−2y​=2z−5​ and 1x−4​=2y−1​=0z+3​ is :2023 · MCQ
  • Let a line l pass through the origin and be perpendicular to the lines l1​:r=(^−11^​−7k^)+λ(i^+2^​+3k^),λ∈R and l2​:r=(−^+k^)+μ(2^+2^​+k^),μ∈R…2023 · Numerical