If x1- x2- x3 as well as y1- y2- y3 are in G-P- with the same common ratio- then the points Ax1- y1- Bx2- y2 and Cx3- y3A- are vertices of a triangleB- lie on a circleC- lie on a straight lineD- lie on an ellipse

The correct option is C lie on a straight line ...

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Byju's Answer

Standard XII

Mathematics

Vertices of Hyperbola

If x1, x2, x3...

Question

If x₁, x₂, x₃ as well as y₁, y₂, y₃ are in G.P. with the same common ratio, then the points A(x₁, y₁), B(x₂, y₂) and C(x₃, y₃)

lie on a straight line

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lie on an ellipse

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lie on a circle

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are vertices of a triangle

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Solution

The correct option is A lie on a straight line

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If x1, x2, x3 as well as y1, y2, y3 are in G.P. with the same common ratio, then the points A(x1, y1), B(x2, y2) and C(x3, y3)

The correct option is A lie on a straight line

If x₁, x₂, x₃ as well as y₁, y₂, y₃ are in G.P. with the same common ratio, then the points A(x₁, y₁), B(x₂, y₂) and C(x₃, y₃)