If the distance of the point `P(1,-2,1)` from the plane `x+2y-2z=alpha,w h e r ealpha>0,i s5,` then the foot of the perpendicular from `P` to the plane is a. `(8/3,4/3,-7/3)` b. `(4/3,-4/3,1/3)` c. `(1/3,2/3,(10)/3)` d. `(2/3,-1/3,-5/3)`

The distance of the point (1, -2, 4) from the plane passing through the point (1, 2, 2) and perpendicular to the planes x-y + 2z =3 and 2x -2y +z + 12 =0 , is-

Find the distance of the point (0,-3,-2) from the plane x+2y-z =1 measured parallel to the line (x+1)/2=(y+1)/2=z/3

Find the distance of the z-axis from the image of the point M(2-3,3) in the plane x-2y-z+1=0.

Find the coordinates of the foot of the perpendicular drawn from point A(1,0,3) to the join of points B(4,7,1)a n d C(3,5,3)dot

The length of the perpendicular drawn from (1,2,3) to the line (x-6)/3=(y-7)/2=(z-7)/(-2) is a. 4 b. 5 c. 6 d. 7

Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(y-3)=1/3(z-2) measured parallel to the plane 3x+2y-2z+15=0.

the image of the point (-1,3,4) in the plane x-2y=0 a. (-(17)/(3),(19)/(3),4) b. (15,11,4) c. (-(17)/(3),(19)/(3),1) d. ((9)/(5),-(13)/(5),4)

The coordinates of the foot of the perpendicular drawn from the point A(2, 4, -1) on the line (x+5)/(1)=(y+3)/(4)=(z-6)/(-9) are -

Find the distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/(12) and plane x-y+z=5.

Let P=0 be the equation of a plane passing through the line of intersection of the planes 2x-y=0a n d3z-y=0 and perpendicular to the plane 4x+5y-3z=8. Then the points which lie on the plane P=0 is/are a. (0,9,17) b. (1//7,21//9) c. (1,3,-4) d. (1//2,1,1//3)