MCQ
If A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, then:
- A$ (\text{A}\times\text{B}) ∩ (\text{B}\times\text{C})$
- B$ {(1, 4)} {(3, 4)}$
- C$ {(1, 4), (3, 4)}$
- D$\text{ None of these }$
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Two vertices of a triangle are (-2, -1) and (3, 2) and third vertex lies on the line x + y = 5. If the area of the triangle is 4 square units, then the third vertex is:
0
$\frac{1}{2}$
$\cot\frac{\theta}{2}$
$\frac{1}{2}\cot\frac{\theta}{2}$