The Centroid Of The Triangle Whose Three Sides Are Given By The Combined Equation

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Question

The centroid of the triangle whose three sides are given by the combined equation

None of these

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Solution

Correct option is

The equation of the sides of the triangle are

Let A(x₁, 1), B(x₂, 1) and O(0, 0) be the vertices of the triangle. Then, x₁,x₂ are the roots of the equation

Thus, the coordinates of the centroid are

.

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SIMILAR QUESTIONS

Q1

The equation represents three straight lines passing through the origin such that

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Q2

If the equation represents two pairs of perpendicular lines, then

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Q3

The equation represents three straight lines passing through the origin such that

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Q4

If one of the lines represented by the equation is a bisector of the angle between the linesxy = 0, then λ =

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Q5

If θ is the angle between the straight lines given by the equation , then cosec² θ =

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Q6

The line y = mx bisects the angle between the lines

, if

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Q7

If two pairs of straight lines having equations have one line common then a =

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Q8

The point of intersection of the The Pair of Straight Lines given by

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Q9

The square of the distance between the origin and the point of intersection of the lines given by

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Q10

If first degree terms and constant term are to be removed from the equation , then the origin must be shifted at the point

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