ਇੱਕ ਬਿੰਦੂ P(0,-1,-3) ਦਿੱਤਾ ਗਿਆ ਹੈ ਅਤੇ ਪਲੇਨ 3x-y+4z-2=0 ਵਿੱਚ P ਦਾ ਚਿੱਤਰ Q ਹੈ। ਬਿੰਦੂ R ਹੈ (3,-1,-2) ...

Given a point P(0,-1,-3) and the image of P in the plane 3-y+4z-2=0 is Q. Point R is (3,-1,-2) find the area of /_PQR

If Q(0, -1, -3) is the image of the point P in the plane 3x-y+4z=2 and R is the point (3, -1, -2), then the area (in sq units) of DeltaPQR is

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 =0 . If the plane is perpendicular to the plane 3x - y - 2z - 4 = 0 , then the value of p is equal to

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 = 0 If the plane is perpendicular to the plane , 3x - y - 2z - 4 = 0 then the value of p is equal to

Consider the planes p _(1) : 2x + y+ z+4=0 p _(2) :y -z+4 =0 and p _(3) : 3x+ 2y +z+8=0 Let L_(1),I _(2), I_(3) be the lines of intersection of the planes P_(2)and P_(3), P_(3) and P _(1),P_(1) and P _(2) respectively. Then:

If [ [a + 1, a + 2, a + p],[ a + 2, a + 3, a + q],[ a + 3, a + 4, a + r] ] = 0 , then p , q , r are in : [ (1) A P (2) GP (3) H P (4) none

{:(2x + 3y = 9),((p + q)x + (2p - q)y = 3(p + q+ 1)):}

Let P_(1) : 2x + y + z + 1 = 0 P_(2) : 2x - y + z + 3 = 0 and P_(3) : 2x + 3y + z + 5 = 0 be three planes, then the distance of the line of intersection of planes P_(1) = 0 and P_(2) = 0 from the plane P_(3) = 0 is