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If  and  are the vertices of a triangle whose area is ‘k’ square units, then  is

  1. 32 k2
  2. 16 k2
  3. 64 k2
  4. 48 k2

Answer (Detailed Solution Below)

Option 3 : 64 k2
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Detailed Solution

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Concept:

If  and  are the vertices of a triangle then, 

Area = 

Properties of Determinants

 

Calculations:

If  and  are the vertices of a triangle then,

Area = 

Given: the area is ‘k’ square units

⇒ k = 

⇒ 

Now,  

= 

= 

= 16.(2k)(2k)

= 64k2

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