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

2012 · Shift 2 · Q23
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Mathematics
  4. /3D Geometry
  5. /2012 · Shift 2 · Q23

3D Geometry question

2012 · Shift 2 · Q23

JEE AdvancedMathematics3D GeometryMCQ+4 / −1
The equation of a plane passing through the line of intersection of the planes x+2y+3z=2x+2y+3z=2x+2y+3z=2 and x−y+z=3x-y+z=3x−y+z=3 and at a distance 23{2 \over {\sqrt 3 }}3​2​ from the point (3,1,−1)(3, 1, -1)(3,1,−1) is
  1. A
    5x−11y+z=175x-11y+z=175x−11y+z=17
  2. B
    2x+y=32−1\sqrt 2 x + y = 3\sqrt 2 - 12​x+y=32​−1
  3. C
    x+y+z=3x + y + z = \sqrt 3x+y+z=3​
  4. D
    x−2y=1−2x - \sqrt 2 y = 1 - \sqrt 2x−2​y=1−2​
PreviousNext

More from 3D Geometry

  • If the distance between the plane Ax−2y+z=d and the plane containing the lines 2x−1​=3y−2​=4z−3​ and 3x−2​=4y−3​=5z−4​ is 6​, then ∣d∣…2010 · Numerical
  • Equation of the plane containing the straight line 2x​=3y​=4z​ and perpendicular to the plane containing the straight lines 3x​=4y​=2z​ and 4x​=2y​=3z​…2010 · MCQ
  • Match the statement in Column-I with the values in Column-II Column-I (A) A line from the origin meets the lines 1x−2​=−2y−1​=1z+1​ and 2x−38​​=−1y+3​=1z−1​…2010 · MCQ
  • If the distance of the point P(1,−2,1) from the plane x+2y−2z=α, where α>0, is 5, then the foot of the perpendicular from P to the planes is2010 · MCQ
  • Let P(3,2,6) be a point in space and Q be a point on the line r=(i−j​+2k)+μ(−3i+j​+5k) Then the value of μ for which the…2009 · MCQ
  • A line with positive direction cosines passes through the point P(2, − 1, 2) and makes equal angles with the coordinate axes. The line meets the plane 2x+y+z=9 at point Q. The length of the line segment PQ equals2009 · MCQ
  • Consider three planes P1​:x−y+z=1P2​:x+y−z=1P3​:x−3y+3z=2 Let L1​,L2​,L3​ be the lines of intersection of the planes P2​ and P3​,P3​ and P1​,P1​ and P2​, respectively. STATEMENT - 1Z:…2008 · MCQ
  • Consider the lines, L1​:3x+1​=1y+2​=2z+1​L2​:1x−2​=2y−2​=3z−3​The distance of the point (1,1,1) from the plane passing through the point (−1,−2,−1)…2008 · MCQ