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Urgent for high school mathematics compulsory two after-school questions!
Group a: 7 people. Given the points P(a, 2), Q(-2, -3), M( 1, 1) and |PQ|=|PM|, find the value of a.

9. Find the distance from point P (-5,7) to line 12x+5y-3=0.

10. Find the distance between two parallel straight lines 3x-2y- 1=0 and 3x-2y+ 1=0.

Group b: 1. Three straight lines ax+2y+8=0 and 4x+3y= 10 and 2x-y= 10 intersect at one point to find the value of a.

4. Given that the distances from point A (-3, -4) and point B (6, 3) to the straight line L are equal: AX+Y+ 1 = 0, find the value of a..

5. Find a point P on the X axis, so that the triangle area with points A( 1 2), B (3,4) and P as vertices is 10.

9. It is known that the linear equation of the center line CM at the vertex A and AB of △ABC (5, 1) is 2x-y-5=0, and the linear equation of the height BH at the AC side is x-2y-5=0. Find the coordinates of vertex c (1); (2) Linear equation BC