Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The area of a triangle is 5. If two of its vertices are (2, 1), (3, –2) and the third vertex lies on the line y = x + 3, then the third vertex is-
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let the third vertex be (h, k)
Since it lies on the line y = x + 3.
∴ k = h + 3 ....... (i)
Also area of triangle is s
∴ 
[2 (–2 – k) + 3 (k – 1) + h (1 + 2)] = ± 5
⇒ k + 3h – 7 = ± 10 ....... (ii)
Solving (i) & (ii) we get
h = 
, 
and k = 
, 
∴ third vertex is either 
or 
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