The centroid and a vertex of an equilateral triangle are (1,1) and (1,2) respectively. Another vertex of the triangle can be

JEE Advanced Mathematics question

The centroid and a vertex of an equilateral triangle are and respectively. Another vertex of the triangle can be

(A)Correct
(B)
(C)Correct
(D)none of these

Answer: (A),(C)

Solution

Let , ; . In an equilateral triangle the median AD is also the altitude, and , so and (continuing along ). The median length is . BC passes through D perpendicular to AD (vertical), so BC is . In

See the full step-by-step solution

Create a free account to read the complete working (3 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-108838