If the circles x2 + y2 + 2x + 2ky + 6 = 0 and x2 + y2 + 2ky + k = 0 intersect orthogonally, then k is equal to
If four distinct points (2k, 3k), (2, 0), (0, 3), (0, 0) lie on a circle, then
k < 0
0 < k < 1
k = 1
k > 1
The line joinining and , where a b, is produced to the point M(x, y) so that AM : MB = b : a. Then, is equal to
0
1
- 1
a2 + b2
Let the foci of the ellipse subtend a right angle at a point P. Then, the locus of P is
x2 + y2 = 1
x2 + y2 = 2
x2 + y2 = 4
x2 + y2 = 8
Number of solutions of the equation tan(x) + sec(x) = 2cos(x), x [0, ] is
0
1
2
3
C.
2
There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then, the number of students failing in all the three subjects
is 12
is 4
is 2
cannot be determined from the given information