1. The locus of a point, whose abscissa and ordinate are always equal is

2. In a ΔABC, if A is the point (1, 2) and equations of the median through B and C are respectively x + y = 5 and x = 4, then B is

3. The length of the perpendicular from the origin to a line is 7 and the line makes an angle of 150 degrees with the positive direction of the y-axis. Then the equation of line is

4. If two vertices of a triangle are (3, -2) and (-2, 3) and its orthocenter is (-6, 1) then its third vertex is

5. The sum of squares of the distances of a moving point from two fixed points (a, 0) and (-a, 0) is equal to 2c² then the equation of its locus is

6. The equation of the line through the points (1, 5) and (2, 3) is

7. What can be said regarding if a line if its slope is zero

8. Two lines are perpendicular if the product of their slopes is

9. y-intercept of the line 4x - 3y + 15 = 0 is

10. The equation of the locus of a point equidistant from the point A(1, 3) and B(-2, 1) is