If x 1 , x 2 , x 3 as well as y 1 ,y 2 ,y 3 are in G.P. with the same common ratio, then the points (x 1 ,y 1 ), (x 2 ,y 2 ) and (x 3 ,y 3 )

Lie on a straight line. Explanation: For x 1 , x 2 , x 3 x 2 = x 1 .r x 3 = x 1 .r 2 For y 1 , y 2 , y 3 y 2 = y 1 .r y 3 = y 1 . r 2 given points are (x 1 , y 1 ) (x 2 , y 2 )

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CUET PG 2024 Mathematics PYQ — If x 1 , x 2 , x 3 as well as y 1 ,y 2 ,y 3 are in G.P. with the … | Mathem Solvex

A.
Lie on a straight line.
(Correct Answer)
B.
Lie on an ellipse
C.
Lie on a circle
D.
Are vertices of a triangle

Correct Answer:

Lie on a straight line.

Explanation

For x₁, x₂, x₃

x₂ = x₁.r

x₃ = x₁.r²

For y₁, y₂, y₃

y₂ = y₁.r

y₃ = y₁ . r²

given points are (x₁, y₁)

(x₂, y₂)

CUET PG 2024 — Mathematics PYQ

Choose the correct answer:

Explanation

Explanation