CBSE Class 10 Maths Distance Formula

plz solve both parts dear experts :
 find the equation of locus of p which distance is A:B in ratio 2:3
 Send coordinate geometry solution's

solve

solve

solve
 Find the distance between the points:(6/5,3) and ( 4,7/5)
 If two vertices of an isosceles right triangle are A(1,7) and B(7,1) then find coordinates of third vertex of the triangle ABC. [GIVEN angle C=90]
 1. hat are the coordinates of the fourth vertex if three vertices of a rectangle are the points (3, 4), ( 1, 2), (2,  4) 2. In what ratio does the line 4x + y = 11 divide the line segment joining the points (1, 3) and (2, 7). 3. If two vertices of an equilateral triangle are (3, 0) and (6, 0), find the third vertex 4. The midpoint of segment AB is the point P (0, 4). If the Coordinates of B are (2, 3) then find the coordinates of A. 5. Find the point of yaxis which is equidistant from the points (5, 2) and (3, 2).

slove this plz