Distance Formula CBSE NCERT solutions Chapter 7 Exercise 7.1 Question 9
9. If, Q (0, 1) is equidistant from P (5, -3) and R (x, 6), find the values of x. Also, find the distances QR and PR.
Solution:
It is given that Q is equidistant from P and R. Using Distance Formula, we get
Squaring both sides, we get
Using Distance Formula to find QR, we get
Using value of x = 4
Using value of x = -4
Therefore,
Using Distance Formula to find PR, we get
Using value of x = 4
Using value of x =-4
Therefore, x = 4, -4
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