Question
ABC is an equilateral triangle and AD is the altitude on BC. If the coordinates of A are (1, 2) and that of D are (-2, 6), then what is the equation of BC?
This question was previously asked in
NDA 2 2025 GAT Question Paper (14-Sep-2025)
The correct answer is
3x + 4y - 18 = 0
Using the formula for the equation of the line through two points, the equation of line BC is 3x + 4y - 18 = 0.
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Important Questions from Equation in a Line
- What are the direction ratios of the line?
- What is the point of intersection of L and P?
- What is the equation to the straight line passing through the point \((-\sin\theta, \cos\theta)\) and perpendicular to the line \(x\cos\theta + y\sin\theta = 9\)?
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