JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

Let ; ; be three points where ; and are each in GP with the same common ratio. Then are

Answer: (B)

Solution

Let the common ratio be . Then , and similarly for and , so

= , , , = , , = r , = , , = .

So all three points lie on the line through the origin in the direction . Explicitly,

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Question ID VK-109826