Question

If the points \((1,1)\), \((-1,-1)\) are the vertices of a triangle, then this triangle is:

• A. right angled
• B. isosceles
• C. equilateral
• D. None of these

Hint:

A triangle always requires textbfthree distinct non-collinear points. With fewer than three points, classification of a triangle is not possible.

Answer 1

The Correct Option is D

Step 1: Recall the basic requirement to form a triangle. To form a triangle in coordinate geometry, three non-collinear points are required. Step 2: Analyze the given data. Only two points are provided: \[ (1,1) \quad \text{and} \quad (-1,-1) \] Step 3: Check feasibility. With only two points:

A line segment can be formed
A triangle cannot be formed
No information about a third vertex is given. Step 4: Final conclusion. Since a triangle cannot be formed with only two vertices, none of the given properties apply. \[ \boxed{\text{None of these}} \]