COMEDK · Maths · 10. Straight Lines
The area of the triangle whose vertices are \((-2, a)(2,-6)\) and \((5,4)\) is 35 sq units then the value of '\(\mathrm{a}\)' is
- A \(\dfrac{128}{3}\)
- B 4
- C \(-\dfrac{23}{3}\)
- D \(\dfrac{53}{3}\)
Answer & Solution
Correct Answer
(B) 4
Step-by-step Solution
Detailed explanation
The area of a triangle with vertices \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\) is given by the formula: Area = \(\dfrac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|\) Substituting the given vertices \((-2, a)\), \((2, -6)\), and \((5, 4)\) and the area 35:…
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