Straight Line Question 69

Question: If $ x_1,x_2,x_3,\text{and }y_1,y_2,y_3 $ are both in G.P. with the same common ratio, then the points $ (x_1,y_1), $ $ (x_2,y_2) $ and $ (x_3,y_3) $ [AIEEE 2003]

Options:

A)Lie on a straight line

B)Lie on an ellipse

C)Lie on a circle

D)Are vertices of a triangle

Show Answer

Answer:

Correct Answer: A

Solution:

  • Taking co-ordinates as $ ( \frac{x}{r},\frac{y}{r} ) $ ; $ (x,y)and(xr,yr) $ Above co-ordinates satisfy the relation $ y=mx $ , so lie on a straight line.