Question
In the early nineteenth century, who demonstrated that
there are fourteen space lattices, or regularly repeating arrangements of points in space, that differ in symmetry and geometry?Solution
The correct answer is A
If {x + (1/x)} = 4, then find the value of {x2 + (1/x2)}
x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and xz =4, then find the value of x 3 + y 3 + z 3 – 3xyz.
...What will come in place of the question mark (?) in the following series?
23, 46, ?, 184, 368, 736
- If (x + y + z) = 14 and (xy + yz + zx) = 50, then find the value of (x² + y² + z²).
If (a – 8) 2 + (b + 2) 2 + (c – 3) 2 = 0, then find the value √(a +b + c).
...If (x - y) = 3, then find the value of (x³ - y³ - 9xy).
If x + y + xy = 118, such that x < y and both 'x' and 'y' are positive integers, then find minimum value of (x + y) .
If x + 1/x = 5 then find out the value of x⁵ + 1/(x⁵)?
If x = 8.15, y = 9.06 and z = –17.21, then the value of x³ + y³ + z³ – 3xyz is:
189500 – 22650 + 48× ? – 352×18 = 162674