CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Q242 Marksvector_lengths
CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Question 24 (Vector Algebra)
Show that A=(3,1,0), B=(5,6,−3), C=(0,4,0) form an isosceles triangle.
✅ Step-by-Step Solution
Final Answer: AB=BC=√38 and CA=√18.
- Compute AB=(2,5,−3), BC=(−5,−2,3), and CA=(3,−3,0).
- Their squared lengths are 38,38 and 18. The vectors AB and BC are not parallel.
- The two equal sides give a nondegenerate isosceles triangle.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Compute AB=(2,5,−3), BC=(−5,−2,3), and CA=(3,−3,0).
- [1 mark] Their squared lengths are 38,38 and 18. The vectors AB and BC are not parallel.
- [0.5 marks] The two equal sides give a nondegenerate isosceles triangle.
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