Two points A(7, 0, 6) and B(3, 4, 2) lie on a plane P_1 and Plane P_2:2x-5y=15 is perpendicular ...

Find the equation of the plane through the points A(3,4,2) and B(7,0,6) and perpendicular to the plane 2x-5y=15 . Hint: The given plane is 2x-5y+0z=15 .

The line of greatest slope on an inclined plane P_1 is the line in the plane P_1 which is perpendicular to the line of intersection of the plane P_1 and a horizontal plane P_2 . Q. The coordinate of a point on the plane 2x+y-5z=0, 2sqrt(11) unit away from the line of intersection of 2x+y-5z=0 and 4x-3y+7z=0 are

If the point (2 , alpha , beta) lies on the plane which passes through the points (3,4,2) and (7,0,6) and is perpendicular to the plane 2x-5y=15, then 2 alpha - 3 beta is equal to:

Distance between two non - intersecting planes P_(1) and P_(2) is 5 units, where P_(1) is 2x-3y+6z+26=0 and P_(2) is 4x+by+cz+d=0 . The point A(-3, 0,-1) lies between the planes P_(1) and P_(2) , then the value of 3b+4c-5d is equal to

The line of greatest slope on an inclined plane P_1 is that line in the plane which is perpendicular to the line of intersection of plane P_1 and a horiontal plane P_2 . Q. Assuming the plane 4x-3y+7z=0 to be horizontal, the direction cosines of line greatest slope in the plane 2x+y-5z=0 are

Find equation of plane passing through (2,1,0),(4,1,1) and (5,0,1). Find point Q such that its distance from plane is same as distance of point P(2,1,6) from plane and line joining P o* Q is perpendicular to plane.

If P_1" and "P_2 are the lenghts of the perpendicular from the points (2,3,4) and (1,1,4) respectively from the plane 3x-6y+2z+11=0, then P_1" and "P_2 are the roots of the equation

Let P_(1):x +y+2z-4=0 and P_(2): 2x-y+3z+5=0 be the planes. Let A(1, 3, 4) and B(3, 2, 7) be two points in space. The equation of a third plane P_(3) through the line of intersection of P_(1) and P_(2) and parallel to AB is

If the planes 2x-y+lamdaz-5=0 an x+4y+2z-7=0 are perpendicular then lamda=