Q) Show that 𝑓:𝑅→𝑅 defined as 𝑓(𝑥)=𝑥/√(1+𝑥^2 ) is one-one but not onto.

Q) A relation R is defined on Z ,the set of integers, as 𝑅={(𝑥,𝑦):|𝑥−𝑦| is divisible by a

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

NIOS Class 12 Mathematics 311 Important Questions April 2025 50 Marks Topics

New Role, New Beginning, New Chapter❤️

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

🎯 XIIth Math NCERT Ch. Matrices Ex. 3.1 | Full Explanation 💯🔥 | Class 12 Maths