Exercise 12.1 Class 9 | Class 9 Maths Exercise 12.1 Ncert / Cbse class 9 Maths Ex-12.1

Exercise 12.1 Full Solution || Chapter 12 Class 9 Maths || New Book PCTB 2025

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 shortest distance between the lines given by(𝑟 =(4𝑖 −𝑗 +2𝑘 )+𝜆(𝑖 +2𝑗 −3𝑘 )

Q) Find the angle between the two lines whose equations are 2𝑥=3𝑦=−𝑧 and 6𝑥=−𝑦=−4𝑧.

Q) Verify that lines given by 𝑟 =(1−𝜆)𝑖 +(𝜆−2)𝑗 +(3−2𝜆)𝑘and 𝑟 =(𝜇+1)𝑖 +(2𝜇−1) 𝑗 −(2𝜇+1

Q) Find the angle between the two lines whose equations are 2𝑥=3𝑦=−𝑧 and 6𝑥=−𝑦=−4𝑧.

class9 math important questions 2026

math 9th important sawal #class9thmaths 9वीं के सवाल

3 Mark - Important Question!

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