class 12 | Chapter 8 | Expected 5 marks | exercise and examples #class12 #exam

Q) Determine if the line 𝑟 =(𝑖 +𝑗 −𝑘 )+𝜆(3𝑖 −𝑗 ) and 𝑟 =(4𝑖 −𝑘 )+𝜇(2𝑖 ˆ+3𝑘 ˆ) interse

Q) Find the image A^′ of the point A(2,1,2) in the line 𝑙:r =4i +2j +2k +𝜆(i −j −k ). Also, find

Q) If the direction cosines of a line are 𝜆,𝜆,𝜆, then 𝜆 is #threedimensionalgeometry

Q) If the direction cosines of a line are 𝜆,𝜆,𝜆, then 𝜆 is #threedimensionalgeometry

📢 New Syllabus Class 12 2026-27 😱 | Class 12 Maths New Updated Syllabus 🔥 2026-27 |

Q) The line x=1+5μ , 𝑦=−5+ 𝜇, 𝑧=−6− 3𝜇 𝑝𝑎𝑠𝑠𝑒𝑠 𝑡ℎrough which of the following point ?

Q) Find the distance of the point P(2,4,−1) from the line (𝑥+5)/1=(𝑦+3)/4=(𝑧−6)/(−9).

Q) The line x=1+5μ , 𝑦=−5+ 𝜇, 𝑧=−6− 3𝜇 𝑝𝑎𝑠𝑠𝑒𝑠 𝑡ℎrough which of the following point ?

Q) Let the position vectors of the points A,B and C be 3i −j −2k , 𝑖 +2𝑗 −𝑘 and 𝑖 +5𝑗 +3𝑘