Home
Class 12
MATHS
If x1, x2, x3 are the roots of the equat...

If `x_1, x_2, x_3` are the roots of the equation `x^3-3px^2 + 3qx - 1 = 0` then find the centroid of the `triangle` the co-ordinates of whose vertices are `(x_1, 1/x_1), (x_2, 1/x_2) and (x_3, 1/x_3).`

Promotional Banner

Similar Questions

Explore conceptually related problems

If x_(1),x_(2),x_(3) are the roots of the equation x^(3)-3px^(2)+3qx-1=0 then find the centroid of the /_ the co-ordinates of whose vertices are (x_(1),(1)/(x_(1))),(x_(2),(1)/(x_(2))) and (x_(3),(1)/(x_(3)))

If x_(1),x_(2),x_(3) are the roots of the equation x^(3)-3px^(2)+3qx-1=0 then find the centroid of the co-ordinates of whose vertices are (x_(1),(1)/(x_(1)))(x_(2),(1)/(x_(2))) and (x_(3),(1)/(x_(3)))

Find the coordinates of the centroid of the triangle whose vertices are (x_1,y_1,z_1) , (x_2,y_2,z_2) and (x_3,y_3,z_3) .

Write the coordinate of the centroid of the triangle whose vertices are (x_1,y_1,z_1) , (x_2,y_2,z_2) and (x_3,y_3,z_3)

Find the co-ordinates of the centroid of the triangle whose vertices are (x_(1),y_(1),z_(1)), (x_(2),y_(1),z_(2)) and (x_(3),y_(3),z_(3)) .

Find the coordinates of the centroid fof the triangle whose vertices are (x_(1),y_(1),z_(1)),(x_(2),y_(2),z_(2)) and (x_(3),y_(3),z_(3))

Find the coordinates of the centroid fof the triangle whose vertices are (x_(1),y_(1),z_(1)),(x_(2),y_(2),z_(2)) and (x_(3),y_(3),z_(3))

Find the coordinates of the centroid fof the triangle whose vertices are (x_(1),y_(1),z_(1)),(x_(2),y_(2),z_(2)) and (x_(3),y_(3),z_(3))

Find the coordinates of the centroid of the triangle whose vertices are (x_(1),y_(1),z_(1)),(x_(2),y_(2),z_(2))and(x_(3),y_(3),z_(3)) .

Theorem : The area of a triangle the coordinates of whose vertices are (x_1;y_1);(x_2;y_2)and (x_3;y_3) is 1/2|(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|