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
If f(x) = and g is the inverse of f. Then, the value of g'(0) is
1
17
None of the above
C.
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