Following is the simplest way to tackle such questions:
Given: P(3, 2) and Q(x, -1). Also, the distance between P and Q= 5 units.
To find: The value of 'X'
Solution: We know by mid-point formula in co-ordinate geometry that:
For X, we have X2 + X1 / 2 and for Y, we have: Y2 + Y1 /2
From X we have : X2 + X1/ 2 i.e.
=> 3 + x/2 = 5
=> 3+ x= 10
=> x= 7
Answer X= 7