Question

9. Find the value of y for which the distance between
the points P(2, 3) and O(10, y) is 10 units.​

Answer 1

Step-by-step explanation:

(10,13). is ur answer...........

Answer 2

Answer:

the formula to calculate the distance between two points (a,b) and (c,d) is given by

the formula to calculate the distance between two points (a,b) and (c,d) is given bydist d = √(a-c)² + (b-d)²

• applying it for this ques we have d=10 units

10 = √(2 - 10)² + (-3-y)²

squaring both sides

100 = (-8)² + (9 + y² + 6y)

100 = 64 +9 + y² + 6y

y² + 6y - 27 = 0

y² + 9y - 3y - 27 = 0

y(y + 9) -3(y + 9) = 0

(y-3)(y+9) = 0

y=3 or y=-9

both values of y are possible unless no other condition is specified in the question.

I hope it helps you