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  • If and  <img alt="y_1, y_2, y_3" src="https://entrancecorner.oncodecogs.com/gif.latex?y_

If x_1, x_2, x_3 and  y_1, y_2, y_3 are both in G.P. with the same common ratio, then the point \left(x_1, y_1\right),\left(x_2, y_2\right)$ and $\left(x_3, y_3\right)

Option: 1

Lie on a straight line

 


Option: 2

Lie on an ellipse


Option: 3

Lie on a circle


Option: 4

Are vertices of a triangle


Answers (1)

best_answer

Taking co-ordinates as \left(\frac{x}{r}, \frac{y}{r}\right),(x, y) and \left(x_r, y_r\right). Above co-ordinates satisfy the relation y=m x,

\therefore  the three points lie on a straight line.

Posted by

Rakesh

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