1. The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is

2. If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then

3. If P (\(\frac{α}{3}\), 4) is the mid-point of the line segment joining the points Q(-6, 5) and R(-2, 3), then the value of‘a’ is

4. The perpendicular bisector of the line segment joining the points A(l, 5) and B(4, 6) cuts the y-axis at

5. The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure.

6. A circle drawn with origin as the centre passes through ([latex]\frac{13}{2}[/latex], 0). The point which does not lie in the interior of the circle is

7. A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are respectively

8. area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is

9. If the distance between the points (4, P) and (1, 0) is 5, then the value of P is

10. If the points A(1, 2), O(0, 0), C(a, b) are collinear, then