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Class 10 › Mathematics › Coordinate Geometry
CBSE2026Class Class 10 · Mathematics2 Marks · Short✅ Verified
If A(a, 0), B(1, 1) and C(0, b) form a triangle, right angled at B when joined, then establish a relation between a and b.
✅ Answer & Solution
Since right angle is at B: $\vec{BA}\cdot\vec{BC}=0$. $\vec{BA}=(a-1,-1)$, $\vec{BC}=(-1,b-1)$.
$$(a-1)(-1)+(-1)(b-1)=0 \Rightarrow -(a-1)-(b-1)=0 \Rightarrow a+b=2$$
