Question

If the distance between the points (2, – 3) and (10, y) is 10 units, then the value of y is

i) 3 only ii) – 9, 3

iii) − 9 only iv) 9, – 3​

Answer 1

Answer:

(ii) -9, 3

Step-by-step explanation:

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

dist 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

Answer 2

Answer:

Step-by-step explanation:

Sol. (i) Here x1 = 2, y1 = 3, x2 = 4 and y2 = 1         ∴ The required distance