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The equations of AB, BC, AC, the three sides of ΔABC are –x + y –1 = 0, x + y –1 = 0 and x = –4. If (α, 0) and (0, β) lie inside the triangle where α, β ∈ Z, then
  • a)
    α = −3, −2, β ∈ ϕ
  • b)
    α = −3, −2, β = 1
  • c)
    orthocenter of triangle ABC is at (0,1)
  • d)
    The circumcentre of the triangle will lie on the line y = 1
Correct answer is option 'A,C'. Can you explain this answer?
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The equations of AB, BC, AC, the three sides ofΔABC are –x...
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The equations of AB, BC, AC, the three sides ofΔABC are –x...
The triangle ABC, can be found using the coordinates of the three vertices A(x1, y1), B(x2, y2), and C(x3, y3).

1. Equation of AB:
The equation of a line passing through two points (x1, y1) and (x2, y2) is given by:
(y - y1) = m(x - x1), where m is the slope of the line.
The slope of AB can be calculated as: m = (y2 - y1) / (x2 - x1).
Using the point-slope form of a line, the equation of AB is:
(y - y1) = [(y2 - y1) / (x2 - x1)](x - x1).

2. Equation of BC:
Using the same process as above, the equation of BC is:
(y - y2) = [(y3 - y2) / (x3 - x2)](x - x2).

3. Equation of AC:
Similarly, the equation of AC is:
(y - y1) = [(y3 - y1) / (x3 - x1)](x - x1).

These equations represent the three sides of the triangle ABC.
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The equations of AB, BC, AC, the three sides ofΔABC are –x + y –1 = 0, x + y –1 = 0 and x = –4. If (α, 0) and (0,β) lie inside the triangle whereα, β ∈ Z, thena)α = −3, −2, β ∈ ϕb)α = −3, −2, β = 1c)orthocenter of triangle ABC is at (0,1)d)The circumcentre of the triangle will lie on the line y = 1Correct answer is option 'A,C'. Can you explain this answer?
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The equations of AB, BC, AC, the three sides ofΔABC are –x + y –1 = 0, x + y –1 = 0 and x = –4. If (α, 0) and (0,β) lie inside the triangle whereα, β ∈ Z, thena)α = −3, −2, β ∈ ϕb)α = −3, −2, β = 1c)orthocenter of triangle ABC is at (0,1)d)The circumcentre of the triangle will lie on the line y = 1Correct answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The equations of AB, BC, AC, the three sides ofΔABC are –x + y –1 = 0, x + y –1 = 0 and x = –4. If (α, 0) and (0,β) lie inside the triangle whereα, β ∈ Z, thena)α = −3, −2, β ∈ ϕb)α = −3, −2, β = 1c)orthocenter of triangle ABC is at (0,1)d)The circumcentre of the triangle will lie on the line y = 1Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equations of AB, BC, AC, the three sides ofΔABC are –x + y –1 = 0, x + y –1 = 0 and x = –4. If (α, 0) and (0,β) lie inside the triangle whereα, β ∈ Z, thena)α = −3, −2, β ∈ ϕb)α = −3, −2, β = 1c)orthocenter of triangle ABC is at (0,1)d)The circumcentre of the triangle will lie on the line y = 1Correct answer is option 'A,C'. Can you explain this answer?.
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