The equation of the circle of radius 5 and touching the co-ordinate axes in third quadrant is
(x - 5)2+ (y + 5)2 = 25
(x + 5)2 + (y + 5)2 = 25
(x + 4)2 + (y + 4)2 = 25
(x + 6)2 + (y + 6)2 = 25
B.
(x + 5)2 + (y + 5)2 = 25
Since the circle touches the coordinate axes in third quadrant therefore,
centre of the circle is
Then equation of circle is,
The four distinct points (0, 0), (2, 0), (0, - 2)and (k, - 2) are concyclic, if k is equal to
3
1
- 2
2
A line is at a constant distance c from the origin and meets the coordinate axes in A and B. The locus of the centre of the circle passing through O, A, B is
x2 + y2 = c2
x2 + y2 = 2c2
x2 + y2 = 3c2
x2 + y2 = 4c2
The line y = mx + c intercepts the circle x2 + y2 = r2 in two distinct points, if
None of the above
If e and e' are the eccentricities of the ellipse 5x2 + 9y2 = 45 and the hyperbola 5 - 4y = 45 respectively, then ee' is equal to
1
4
5
9
The pole of the straight line x + 4y = 4 with respect to the ellipse x2 + 4y2 = 4 is
(1, 1)
(1, 4)
(4, 1)
(4, 4)
Locus of the poles of focal chord of a parabola is
the axis
a focal chord
the directrix
the tangent at the vertex