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

2022 · 26 Jul · Shift 1 · Q45
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /3D Geometry
  5. /2022 · 26 Jul · Shift 1 · Q45

3D Geometry question

2022 · 26 Jul · Shift 1 · Q45

JEE MainMathematics3D GeometryNumerical+4 / −1
Let Q\mathrm{Q}Q and R\mathrm{R}R be two points on the line x+12=y+23=z−12\frac{x+1}{2}=\frac{y+2}{3}=\frac{z-1}{2}2x+1​=3y+2​=2z−1​ at a distance 26\sqrt{26}26​ from the point P(4,2,7)P(4,2,7)P(4,2,7). Then the square of the area of the triangle PQRP Q RPQR is ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from 3D Geometry

  • If the two lines l1​:3x−2​=−2y+1​,z=2 and l2​:1x−1​=α2y+3​=2z+5​ are perpendicular, then an angle between the lines l2 and l3​:31−x​=−42y−1​=4z​…2022 · MCQ
  • Let a=i+j​+2k, b=2i−3j​+k and c=i−j​+k be three given vectors. Let v…2022 · MCQ
  • If the length of the perpendicular drawn from the point P(a,4,2), a >0 on the line 2x+1​=3y−3​=−1z−1​ is 26​ units and Q(α1​,α2​,α3​) is the image of the…2022 · MCQ
  • If two straight lines whose direction cosines are given by the relations l+m−n=0, 3l2+m2+cnl=0 are parallel, then the positive value of c is :2022 · MCQ
  • The shortest distance between the lines 2x−3​=3y−2​=−1z−1​ and 2x+3​=1y−6​=3z−5​, is :2022 · MCQ
  • Let P(−2,−1,1) and Q(1756​,1743​,17111​) be the vertices of the rhombus PRQS. If the direction ratios of the diagonal RS are α,−1,β, where both α and β…2022 · Numerical
  • Let the image of the point P(1, 2, 3) in the line L:3x−6​=2y−1​=3z−2​ be Q. Let R (α, β, γ) be a point that divides internally the line segment PQ in the ratio 1 : 3. Then the…2022 · Numerical
  • Consider a triangle ABC whose vertices are A(0, α, α), B(α, 0, α) and C(α, α, 0), α> 0. Let D be a point moving on the line x + z − 3 = 0 = y and G be the centroid of Δ ABC. If…2022 · Numerical