True or False :
The equation `x = x_0` represents a plane parallel to the YZ-plane.

True or false: The differential equation (d^2x)/(dy^2)=0 represents a family of straight line.

True or false The line x=y=z lies in the plane x-2y+z-1=0.

Find the equation of the plane through the point (1,4,-2) and parallel to the plane 2x-y+3z+7=0 .

True or False statements: Tangent to the curve y = x^2 at x = 0 is parallel to the x-axis.

True or false The projection of the point (alpha,beta,gamma) on the XOY plane is (0,0,gamma)

Find the equation of the plane passing through (a, b, c) and parallel to the plane vecr cdot(hati + hatj + hatk) = 2

Write the vector equations of the plane throught the point (a,b,c) and parallel to the plane vecr.(hati+hatj+hatk)=2 .

Find the equation of the plane passing through origin and parallel to the plane x+3y-2z+7=0 .

Find the equation of plane passing through the point (1,4,-2) and parallel to the plane 2x-y+3z=0