If the distinct points on the curve y = 2{x^4} + 7{x^3} + 3x - 5 a | Filo
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Class 11

Math

Algebra

Sequences and Series

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If the distinct points on the curve  are collinear, then find the arithmatic mean of x-coordinates of the aforesaid points

Solution:
Given ; Four distinct points on the curve.
are collinear
Let all points are on y = mx + c (That is general from of linear equation
so, 
Let that equation have four roots p,q,r & s
And we know sum of roots in bi-quadratic equation
Then,
And
Arithmetic mean
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