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

2025 · 2 Apr · Shift 2 · Q33
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /3D Geometry
  5. /2025 · 2 Apr · Shift 2 · Q33

3D Geometry question

2025 · 2 Apr · Shift 2 · Q33

JEE MainMathematics3D GeometryMCQ+4 / −1
If the image of the point P(1,0,3)\mathrm{P}(1,0,3)P(1,0,3) in the line joining the points A(4,7,1)\mathrm{A}(4,7,1)A(4,7,1) and B(3,5,3)\mathrm{B}(3,5,3)B(3,5,3) is Q(α,β,γ)Q(\alpha, \beta, \gamma)Q(α,β,γ), then α+β+γ\alpha+\beta+\gammaα+β+γ is equal to :
  1. A
    463\frac{46}{3}346​
  2. B
    18
  3. C
    13
  4. D
    473\frac{47}{3}347​
PreviousNext

More from 3D Geometry

  • The line L1​ is parallel to the vector a=−3i^+2j^​+4k^ and passes through the point (7,6,2) and the line L2​ is parallel to the vector b=2i^+j^​+3k^…2025 · MCQ
  • Let a line passing through the point (4,1,0) intersect the line L1​:2x−1​=3y−2​=4z−3​ at the point A(α,β,γ) and the line L2​:x−6=y=−z+4 at the point B(a,b,c). Then ​1αa​0βb​1γc​​…2025 · MCQ
  • Line L1​ passes through the point (1,2,3) and is parallel to z-axis. Line L2​ passes through the point (λ,5,6) and is parallel to y-axis. Let for λ=λ1​,λ2​,λ2​<λ1​, the shortest…2025 · MCQ
  • Each of the angles β and γ that a given line makes with the positive y- and z-axes, respectively, is half of the angle that this line makes with the positive x-axes. Then the sum of all possible values of the angle β…2025 · MCQ
  • The distance of the point (7,10,11) from the line 1x−4​=0y−4​=3z−2​ along the line 2x−9​=3y−13​=6z−17​ is2025 · MCQ
  • Let the shortest distance between the lines 3x−3​=−1y−α​=1z−3​ and −3x+3​=2y+7​=4z−β​ be 330​. Then the positive value of 5α+β is2025 · MCQ
  • Let A and B be two distinct points on the line L:3x−6​=2y−7​=−2z−7​. Both A and B are at a distance 217​ from the foot of perpendicular drawn from the point (1,2,3) on the line L. If O is…2025 · MCQ
  • Let A be the point of intersection of the lines L1​:1x−7​=0y−5​=−1z−3​ and L2​:3x−1​=4y+3​=5z+7​. Let B and C be the points on the lines L1​ and L2​…2025 · MCQ