SA3 marksYear: 2025MediumCBSE Class 10
coordinate-geometryright-triangledistance-formula
Question
P(x,y), Q(−2,−3) and R(2,3) are the vertices of a right triangle PQR right angled at P. Find the relationship between x and y. Hence, find all possible values of x for which y=2.
Solution
1
In △PQR, ∠P=90°.
PQ2+PR2=QR2
(x+2)2+(y+3)2+(x−2)2+(y−3)2=42+62
+1 mark3
For y=2: x2=9⇒x=±3.
+1 mark