`14(3y-5z)^(3)+7(3y-5z)^(2)`

Factors of (2x - 3y) ^(3) + ( 3y - 5z) ^(3) + ( 5z - 2x) ^(3) are:

The equation of the plane which passes through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2), and (x-3)/(1)=(y-1)/(2)=(z-2)/(3) and at greatest distance from point (0,0,0) is a.4x+3y+5z=25 b.4x+3y=5z=50c3x+4y+5z=49d.x+7y-5z=2

The value of p so that the lines (1-x)/(3) = (7y - 14)/(2p) = (z -3)/(2) and (7-7 x)/(3p) = (y-5)/(1) = (6 -z)/(5) are at right angles are

If the lines (1 -x )/(3) = ( 7y - 14)/(2 lamda) = (z - 3)/(2) "and" (7 - 7x)/(3lamda) = (y - 5)/(1) = ( 6 - z ) /(5) are at right angle, then the value of lamda is

Fiind m, if the lines (1-x)/(3)= ( 7y-14)/(2m ) = (z-3) /(2) and ( 7-7x)/(3m) = (y-5)/(1) = (6-z)/(5) are at right angles.

Let the equations of two planes be P_1: 2x-y+z=2 and P_2: x+2y-z=3 Equation of the plane which passes through the point (-1,3,2) and is perpendicular to each of the plane P_1 and P_2 is (A) x-3y-5z+20=0 (B) x+3y+5z-18=0 (C) x-3y-5z=0 (D) x+3y-5z=0

If, 2^(x+y-2z)=8^(8z-5-y), 5^(4y-6z)= 25^(y+z), 3^(4x-3z)=9^(x+z) then the value of 2x+3y+5z is: यदि 2^(x+y-2z)=8^(8z-5-y), 5^(4y-6z)= 25^(y+z), 3^(4x-3z)=9^(x+z) है, तो 2x+3y+5z का मान क्या होगा ?