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

2021 · 25 Feb · Shift 1 · Q33
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /3D Geometry
  5. /2021 · 25 Feb · Shift 1 · Q33

3D Geometry question

2021 · 25 Feb · Shift 1 · Q33

JEE MainMathematics3D GeometryMCQ+4 / −1
Let α\alphaα be the angle between the lines whose direction cosines satisfy the equations l + m −-− n = 0 and l2 + m2 −-− n2 = 0. Then the value of sin4 α\alphaα + cos4 α\alphaα is :
  1. A
    38{{3 \over 8}}83​
  2. B
    34{{3 \over 4}}43​
  3. C
    12{{1 \over 2}}21​
  4. D
    58{{5 \over 8}}85​
PreviousNext

More from 3D Geometry

  • A line 'l' passing through origin is perpendicular to the lines l1​:r=(3+t)i+(−1+2t)j​+(4+2t)kl2​:r=(3+2s)i+(3+2s)j​+(2+s)k…2021 · Numerical
  • The angle between the straight lines, whose direction cosines are given by the equations 2l + 2m − n = 0 and mn + nl + lm = 0, is :2021 · MCQ
  • If (a, b, c) is the image of the point (1, 2, -3) in the line 2x+1​=−2y−3​=−1z​, then a + b + c is :2020 · MCQ
  • If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing through (α, 7, 1) is (35​,37​,317​), then α is equal to ​.2020 · Numerical
  • The shortest distance between the lines 3x−3​=−1y−8​=1z−3​ and −3x+3​=2y+7​=4z−6​ is :2020 · MCQ
  • The projection of the line segment joining the points (1, –1, 3) and (2, –4, 11) on the line joining the points (–1, 2, 3) and (3, –2, 10) is ​.2020 · Numerical
  • The length of the perpendicular from the point (2, –1, 4) on the straight line, 10x+3​= −7y−2​=1z​ is :2019 · MCQ
  • If a point R(4, y, z) lies on the line segment joining the points P(2, –3, 4) and Q(8, 0, 10), then the distance of R from the origin is :2019 · MCQ