The d.r. of normal to the plane through (1, 0, 0), (0, 1, 0) which makes an angle π/4 with plane x + y = 3 are

The dr. of normal to the plane through (1,0,0), (0,1,0) which makes an angle pi/4 with plane , x+y=3 are

The direction ratios of a normal to the plane through (1,0,0)a n d(0,1,0) , which makes and angle of pi/4 with the plane x+y=3, are a. <<1,sqrt(2),1 >> b. <<1,1,sqrt(2)>> c. <<1,1,2>> d. << sqrt(2),1,1>>

The direction ratios of normal of a plane passing through two points (0,1, 0) & (0, 0, 1) and makes an angle pi/4 with the plane y-z-5=0 are (A) (2,-sqrt2,sqrt2) (B) (sqrt2,-1,1) (C) (sqrt2,1,1) (D) (2,sqrt2,1)

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0a n d x+y+z+4=0 is/are a. y=0 b. x=0 c. x+y=0 d. x+z=0

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0a n dx+y=z+4=0 is/are a. y=0 b. x=0 c. x+y=0 d. x+z=0

A plane passes through the point (0,-1,0) and (0,0,1) and makes an angle of (pi)/(4) with the plane y-z=0 then the point which satisfies the desired plane is

The equation of the plane through the point (1,2,3) and parallel to the plane x+2y+5z=0 is

Find an equation for the plane through P_(0)=(1, 0, 1) and passing through the line of intersection of the planes x +y - 2z = 1 and x + 3y - z = 4 .

Find the equation of the sphere which passes through (1,0,0),(0,1,0) and (0,0,1) and whose centre lies on the plane 3x-y+z=2.

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