If B are the roots of the quadratic equation is, x2 + ax + b = 0, (b 0), then the quadratic equation whose roots are , is
ax2 + a(b - 1)x + (a - 1)2 = 0
bx2 + a(b - 1)x + (b - 1)2 = 0
x2 + ax + b = 0
abx2 + bx + a = 0
If the distance between the foci of an ellipse is equal to the length of the latusrectum, then its eccentricity is
The equation of the circle passing through the point (1, 1) and the points of intersection of x2 + y2 - 6x - 8 = 0 and x2 + y2 - 6 = 0 is
x2 + y2 + 3x - 5 = 0
x2 + y2 - 4x + 2 = 0
x2 + y2 + 6x - 4 = 0
x2 + y2 - 4y - 2 = 0
The number oflines which pass through the point (2, - 3) and are at a distance 8 from the point (- 1, 2) is
infinite
4
2
0
Six positive numbers are in GP, such that their product is 1000. If the fourth term is 1, then the last term is
1000
100
If are the roots of the quadratic equation ax2 + bx + c = 0 and 3b2 = 16ac, then
C.
Given that, () are roots of the quadratic equation
ax2 + bx + c = 0
and 3b2 = 16ac ...(i)
...(ii)
From Eq. (i), we get
3b . b = 16a . c
The limits of
does not exist
exists and equals to 0
exists and approaches to
exists and approaches to
If f(x) = ex(x - 2)2, then
f is increasing in (- , 0) and (2, ) and decreasing in (0, 2).
f is increasing in (- ) and decreasing in ()
f is increasing in (2, ) and decreasing in (- , 0).
f is increasing in (0, 2) and decreasing in () and (2, )