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
A.
x2 + y2 + 3x - 5 = 0
Let S1 = x2 + y2 - 6x - 8 = 0
and S2 = x2 + y2 - 6 = 0
Now, the equation of the circle passing through the point (1, 1) and the point of intersection of S1 and S2 is
Since, Eq. (i) passes through the point (1, 1).
On putting the value of '' in Eq. (i), we get
- 2x2 - 2y2 - 6x + 10 = 0
x2 + y2 + 3x - 5 = 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
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, )