समतलो 2x-2y+z+9=0 और 5x+3y-4z-6=0 के बीच का कोण ज्ञात कीजिये

x+2y+z=4 -x+y+z=0 x-3y+z=4

यदि (x/3+1,y-2/3) = (5/3,1/3) हो, तो x और y का माना ज्ञात , कीजिये।

If x+y = 4, xy = 2, y+z = 5, yz = 3, z+x = 6 and zx = 4, then find the value of x^3+y^3+z^3-3xyz यदि x+y = 4, xy = 2, y+z = 5, yz = 3, z+x = 6 और zx = 4 है, तो x^3+y^3+z^3-3xyz का मान ज्ञात करें

In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them : (a) 7x + 5y + 6z + 30 = 0 and 3x - y - 10 z + 4 = 0 (b) 2x + y + 3z -2 = 0 and x - 2y + 5 = 0 (c) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z - 1 = 0 (d) 2x - y + 4z + 5 = 0 and 2x - y + 3z + 3 = 0 (e) 4 x + 8y + z = 0 and y + z - 4 = 0

Rs 6,300 is divided between X, Y, Z, such that X : Y=7:5 and Y : Z =4: 3. Find the share of Y. 6300 रुपये को X, Y और Z के बीच इस प्रकार विभाजित किया जाता है कि X:Y =7:5 तथा Y:Z = 4:3 है। Y का हिस्सा ज्ञात कीजिए।

The lines x + y + z - 3 = 0 = 2x - y + 5z - 6 and x - y - z + 1 = 0 = 2x + 3y + 7z - k are coplanar then k equals

In the following determine whether the given planes are parallel or perpendicular and in case they are neither, find the angles between them : (i) 7x + 5y + 6z + 30 = 0 and 3x - y - 10z + 4 = 0 (ii) 2x + y + 3z - 2 = 0 and x - 2y + 5 = 0 (iii) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z - 1 = 0 (iv) 2x - y + 3z - 1 = 0 and 2x - y + 3z + 3 = 0 (v) 4x + 8y + z - 8 = 0 and y + z - 4 = 0.