If a plane meets the equations axes at `A ,Ba n dC` such that the centroid of the triangle is `(1,2,4),` then find the equation of the plane.

The equation of zx plane is

A plane meets the coordinates axes at L, M, N respectively, such that the centroid of the triangle LMN is (1,-2,3) . Find the equation of the plane.

A plane meets the coordinates axes in A, B, C such that the centroid of the triangle ABC is the point (a,a,a) .Then the equation of the plane is x+y+z=p , where p is ___

A plane meets the coordinates axes respectively at A, B and C such that the centroid of the triangle ABC is ( 3, 3, 3) . If the equation of the plane is x+y+z=p. Then p is equal to

A plane meets the coordinate axes at P, Q, R such that the centroid of the triangle PQR ar (a, b, c). If the equation of the plane is (x)/(a)+(y)/(b)+(z)/(c )=m , then the value of m is -

If a plane meets the coordinate axes at A, B, C such that the centroid of the triangle ABC is the point (1,r,r^(2)) , then show that the equation of the plane is r^(2)x+ry+z=3r^(2) .

The equation of yz-plane is _

The equation of zx - plane is _

The foot of the perpendicular drawn from the origin to a plane is (1,2,-3)dot Find the equation of the plane. or If O is the origin and the coordinates of P is (1,2,-3), then find the equation of the plane passing through P and perpendicular to O Pdot

The vector equation of yz-plane is -