मान लीजिए ` 2x + py + 6z= 8 , x+ 2y + qz = 5` तथा` x+ y + 3z = 4 ` समीकरण निकाय है ।
समीकरण का अद्वितीय हल होगा , यदि

solve x + 2y + 3z = 8 2x + y + z = 8 x + y + 2z = 6 .

Add 2x - 3y + z , 5y - x + 7z and 3x - y - 6z.

Consider three planes, 2x+py+6z=8,x+2y+qz=5 and x+y+3z=4 .

Add: 5x - 8y + 2z, 3z - 4y - 2x, 6y - z - x and 3x - 2z - 3y

Find the angle between the planes : (i) 3 x - 6y - 2z = 7 " " 2x + y - 2z = 5 (ii) 4 x + 8y + z = 8 " " and y + z = 4 (iii) 2 x - y + z =6 " " and x + y + 2z = 7 .

Consider three planes 2x + py + 6z = 8 ,8x + 2y + qz = 5 and x + y + 3z =4 Three planes intersect at a point if

If x - 2y = 3 and xy = 5, find the value of x^2-4y^2 . यदि x - 2y = 3 तथा xy = 5 है, तो x^2-4y^2 का मान क्या होगा ?

If x + y = 52 and x - y = 20, then find the value of x : y. यदि x + y = 52 तथा x - y = 20 है, तो x : y का मान कितना है?