AP EAMCET · Maths · Straight Lines
Suppose that the three points \(A, B\) and \(C\) in the plane are such that their \(x\)-coordinates as well as \(y\)-coordinates are in GP with the same common ratio. Then, the points \(A, B\) and \(C\)
- A constitute a right angled triangle
- B form an isosceles triangle
- C lie on a straight line
- D form an equilateral triangle
Answer & Solution
Correct Answer
(C) lie on a straight line
Step-by-step Solution
Detailed explanation
Let the coordinate \(A\left(x_1, y_1\right), B\left(x_2, y_2\right)\) and \(C\left(x_3, y_3\right)\). According to question, \(x\) - coordinate as well as \(y\) coordinates are in GP. Let \(x_1=a, x_2=a r\) and \(x_3=a r^2\), \(y_1=b, y_2=b r\) and \(y_3=b r^2\) Now,…
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