The three lines of a triangle are given by (x2 - y2)(2x + 3y - 6) = 0. If the point (- 2, ) lies inside and (, 1) lies outside the triangle, then
None of the above
The values of , such that (x, y, z) if (0, 0, 0) and x + y + are
0, 1
- 1, 1
- 1, 0
- 2, 0
C.
- 1, 0
This is homogeneous system of equations in three vanables x, y and z.
It is consistent and have non-zero solution
i.e., (x, y, z) (0, 0, 0), If determinant of coefficient matrix is zero.
By Simpson's rd rule, the approximate value of the integral using four intervals, is
0.377
0.487
0.477
0.387
A variable plane is at a constant distance p from the origin O and meets the axes at A, B and C. The locus of the centroid of the tetrahedron OABC is
x2 + y2 + z2 = 16p2
x2 + y2 + z2 = p2