Put the last two terms of each of the following expressions in the parentheses preceded by a minus sign: `2x+3y-4z+7` (ii) `3a-2b-7c-4d` `7x y-4y z+3z x-5`

Place the last two terms in each of the following expressions in parentheses preceded by a '-^(prime) sign: 3a-2b+4c-5 (ii) 7a+3b+2c+4

Place the last two terms in each of the following expressions in parentheses preceded by a '-^(prime) sign: 9a+5x y-7x^2+8y-6 y+z+x^2-y^2-a^2

Show that each of the following pairs of planes are at right angles: i) 3x+4y-5z=7 and 2x+6y+6z+7=0 ii) x-2y+4z=10 and 18x+17y+4z=49

Write all the terms of each of the following algebraic expressions: 3x^(5)+5y^(4)-7x^(2)y+79y^(3)-2z^(3)+7x^(3)y-3xyz

Add the following: x-3y-2z (ii) 4a b-5b c+7c a

Write the numerical coefficient of each terms in the following algebraic expressions: (i) 4x^2y-3/2x y+5/2x y^2 (ii) -5/3x^2y+7/4x y z+3

Solve the following equations, using inverse of a matrix : {:(3x+4y+7z=4),(2x-y+3z=-3),(x+2y-3z=8):}

Show that each of the following systems of linear equations is consistent and also find their solutions: 6x+4y=2 9x+6y=3 2x+3y=5 6x+9y=15 5x+3y+7z=4 3x+26 y+2z=9 7x+2y+10 z=5 x-y+z=3 2x+y-z=2 -x-2y+2z=1 x+y+z=6 x+2y+3z=14 x+4y+7z=30 2x+2y-2z=1 4x+4y-z=2 6x+6y+2z=3

Show that the following system of equation is consistent.2x-y+3z=5,3x+2y-z=7,4x+5y-5z=0

The equation of the plane passing through the line of intersection of the planes x + y + 2z = 1,2x + 3y + 4z = 7, and perpendicular to the plane x - 5y + 3z = 5 is given by: