Area of a triangle whose vertices contain a parameter equals a given value
This type of question, asked 2 times: 2021 Paper 21, 14 Jun 2022. All 2 questions below, oldest first.
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Question 1
2021 Paper 21
69
Let A(a,0),B(b,2b+1) and C(0,b),b=0,∣b∣=1, be points such that the area of triangle ABC is 1 sq. unit, then the sum of all possible values of a is :
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Question 2
14 Jun 2022
160
Let the area of the triangle with vertices A(1,α), B(α,0) and C(0,α) be 4 sq. units. If the point (α,−α),(−α,α) and (α2,β) are collinear, then β is equal to
