Question
(x – 6) 2 + (y + 2) 2 + (z –
4) 2 = 0, then find the value of 4x - 3y + z.Solution
If (x – 6) 2 + (y + 2) 2 + (z – 4) 2 = 0, then (x = 6), (y = -2), and (z = 4).
So,
- x - 6 = 0 → x = 6
- y + 2 = 0 → y = -2
- z - 4 = 0 → z = 4
Therefore, required value:
4(6) - 3(-2) + 4 = 24 + 6 + 4 = 34
In measuring the sides of a rectangle, there is an excess of 12% on one side and 10% deficit on the other. Then the error percent in the area is
A, B and C enter into a partnership, A invest 2X + 5000, B invest X + 15000 and C invest 5X + 2000 for one year if B share is 10000 from total profit of...
The speed of two railway engines is in the ratio 5: 4. If they move on parallel tracks in the same direction and if the slower engine is ahead of the f...
- The area of the base of a rectangular reservoir is 960 m² and the volume of water contained in it is 38400 m³. Find the depth of the water in the reservo...
If the length of the diagonal of a square is 4.6 cm, then the area of the square is:
A rectangle has a length to breadth ratio of 7:5. The length is increased by 15% without any change to the breadth, resulting in an 84 m² increase in t...
The radius of a cylinder is the same as the radius of a circle whose circumference is 176 units. If the height of the cylinder is 25% more than its radi...
The length and breadth of a rectangular field are 51m and 30m respectively. A tank of length 8m, breadth 7m and depth 5m is dug out at the middle of the...
A right circular cylinder having total surface area of 18480 cm2 is immersed in a vessel completely filled with water. If the height of the c...
The perimeter of a square and a rectangle is in the ratio of 16:15. The square has an area of 256 cm², and the length of the rectangle is 12.5% greater...
