AP EAMCET · Maths · Straight Lines
If \(x_1, x_2, x_3\) as well as \(y_1, y_2, y_3\) are in geometric progression with the same common ratio, then the points \(\left(x_1, y_1\right)\), \(\left(x_2, y_2\right),\left(x_3, y_3\right)\) are
- A vertices of an equilateral triangle
- B vertices of a right angled triangle
- C vertices of a right angled isosceles triangle
- D collinear
Answer & Solution
Correct Answer
(D) collinear
Step-by-step Solution
Detailed explanation
It is given that \(x_1, x_2, x_3\) and \(y_1, y_2, y_3\) are in GP with the same common ratio. Let \(r\) be the common ratio. \(\therefore \quad x_1=x_1, x_2=x r \text { and } x_3=x r^2\) Similarly, \(y_1=y, y_2=y r\) and \(y_3=y r^2\)…
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