Direction: In this question 2 equations numbered I and II are given. You have to solve both the equations and find out the correct option.
-
Ⅰ. x2 − 20x + 91= 0
Ⅱ. y2 − 32y + 247= 0
-
- x > y
- Relationship between x and y cannot be established
- x ≥ y
- x ≤ y
- x < y
Correct Option: D
According to question ,
Ⅰ. x2 − 20x + 91= 0
⇒ x2 − 13x − 7x + 91 = 0
⇒ x(x − 13) − 7(x − 13) = 0
⇒ (x − 7)(x − 13) = 0
⇒ x = 13, 7
Ⅱ. y2 − 32y + 247= 0
⇒ y2 − 19y − 13y + 247 = 0
⇒ y(y − 19) − 13(y − 19) = 0
⇒ (y − 13)(y − 19) = 0
⇒ y = 13, 19
Hence, x ≤ y is required answer .
