PointHard
Question
The co-ordinates of the vertices P, Q, R & S of square PQRS inscribed in the triangle ABC with vertices A ≡ (0, 0), B (3, 0) & C ≡ (2, 1) given that two of its vertices P, Q are on the side AB are respectively :
Options
A.
B.
C.(1, 0), 
D.
Solution
Let co-ordinates of P are (x1, 0) and side of square is ′a′
∴ Q (x1 + a, 0)
S (x1 , a)
R (x1 + a, a)
Now,
mAS = mAC
⇒
⇒ x1 = 2a ....(1)mBR = mBC
⇒
= - 1 ⇒ x1 + 2a - 3 = 0 ...(2)from (1) & (2) a =
& x1 = 
co-ordinates of P, Q, R, & S can be determined.
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