If f(x) = 2100x + 1, g(x) = 3100x + 1, then the set ofreal numbers x such that f{g(x)} = x is
empty
a singleton
a finite set with more than one element
infinite
If z = x + iy, where x and y are real numbers and i = , then the points (x, y) for which is real, lie on
an ellipse
a circle
a parabola
a straight line
If a, band c are in AP, then the straight line ax + 2by + c = 0 will always pass through a fixed point whose coordinates are
(1, - 1)
(- 1, 1)
(1, - 2)
(- 2, 1)
The equation 2x2 + 5xy - 12y2 = 0 represents a
circle
pair of non-perpendicular intersecting straight lines
pair of perpendicular straight lines
hyperbola
If one end of a diameter of the circle 3x2 + 3y2 - 9x + 6y + y = 0 is (1, 2), then the other end is
(2, 1)
(2, 4)
(2, - 4)
(- 4, 2)
C.
(2, - 4)
Given equaitson of circle is,
3x2 + 3y2 - 9x + 6y + 5 = 0
We know that, centre of the circle is the mid-point of the diameter.
Lives one and of point of dianetev in (1, 2) Let the other end point of diameter is (h, k)
So, the other end point is (2, - 4).
The line y = x intersects the hyperbola at the points P and Q. The eccentricity of ellipse with PQ as major axis and minor axis of length is