1. The locus of the point from which the tangent to the circles x² + y² - 4 = 0 and x² + y² - 8x + 15 = 0 are equal is given by the equation

2. The perpendicular distance from the point (3, -4) to the line 3x – 4y + 10 = 0

3. A man running a race course notes that the sum of the distances from the two flag posts from him is always 10 meter and the distance between the flag posts is 8 meter. The equation of posts traced by the man is

4. The center of the ellipse (x + y - 2)² /9 + (x - y)² /16 = 1 is

5. The parametric coordinate of any point of the parabola y² = 4ax is

6. The equation of parabola with vertex at origin the axis is along x-axis and passing through the point (2, 3) is

7. At what point of the parabola x² = 9y is the abscissa three times that of ordinate

8. The number of tangents that can be drawn from (1, 2) to x² + y² = 5 is

9. In an ellipse, the distance between its foci is 6 and its minor axis is 8 then its eccentricity is

10. If the length of the tangent from the origin to the circle centered at (2, 3) is 2 then the equation of the circle is