Question

The area of a triangle is 5 sq. units. Two of its vertices are (2,1) and (3,-2). The third vertex lies on \( y = x + 3 \). The coordinates of the third vertex can be

• A. \( \left(-\frac{3}{2},-\frac{3}{2}\right) \)
• B. \( \left(\frac{3}{4},-\frac{3}{2}\right) \)
• C. \( \left(\frac{7}{2},\frac{13}{2}\right) \)
• D. \( \left(-\frac{1}{4},\frac{11}{4}\right) \)
• E. \( \left(\frac{3}{2},\frac{3}{2}\right) \)

Hint:

Always substitute line equation first to reduce variables before applying area formula.

Answer 1

The Correct Option is D