Considering four sub-intervals, the value of by Trapezoidal rule, is
0.6870
0.6677
0.6977
0.5970
By Simpson's rule, the value of dividing the interval (1, 2) into four equal parts, is
0.6932
0.6753
0.6692
7.1324
Area bounded by the lines y = x, x = - 1, x = 2 and x - axis is
5/2 sq unit
3/2 sq unit
1/2 sq unit
None of the above
The symmetric equation of lines 3x + 2y + z - 5 = 0 and x + y - 2z - 3 = 0, is
C.
Let a, b, c be the direction ratios of required line.
3a + 2b + c = 0 and a + b - 2c = 0
In order to find a point on the required line we put z = 0 in the two given equations to obtain, 3x + 2y = 5 and x + y = 3 Solving these two equations, we get x = - 1, y = 4.
Coordinates of point on required line are (- 1, 4, 0).
Hence, required line is