Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Q201 Markscollinearity

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Question 20 (Vector Algebra)

Assertion A. Points A=(6,−7,0), B=(16,−19,−4), C=(1,−1,2) are collinear. Reason R. Three points are collinear when C is the midpoint of AB.

✅ Step-by-Step Solution

Final Answer: Both statements are true but R does not correctly explain A.
  1. AB=(10,−12,−4) and AC=(−5,6,2)=−AB/2, so A is true. The midpoint criterion is sufficient, hence R is true, but C is not the midpoint of AB and this reason does not explain this instance.

Master Chapter 10: Vector Algebra

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Vector Algebra.
📘 Chapter Notes & All Exercises 🚀 Open in Interactive Workspace →
← Previous Question
Assertion A. On the set of all books in a school library, let R…
Next Question →
For x>0, solve x[[2x,2],[3,x]]+2[[8,5x],[4,0]]=2[[x²+8,24],[10,8]].

All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38

Related Questions in Vector Algebra

Class 12 Vector Algebra · Mcq Single Correct
Find |a × b|² + (a · b)².
Class 12 Vector Algebra · Mcq Single Correct
Find the area of triangle OAB, where OA = (1,2,3) and OB = (−3,−2,1).
Class 12 Vector Algebra · Mcq Single Correct
For nonzero vectors a,b with angle θ ∈ [0,π], when is a · b ≥ 0?
Class 12 Vector Algebra · Mcq Single Correct
For a vector a, find (a · i)i + (a · j)j + (a · k)k.
Class 12 Vector Algebra · Mcq Single Correct
Which vector has magnitude 9 and the same direction as (1,−2,2)?
Class 12 Vector Algebra · Mcq Single Correct
Find the position vector dividing the segment from 2a − 3b to a + b internally in the ratio…