In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark correct answer. I. x2 – 10x + 21 = 0 II. y2

In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark correct answer.

I. x² – 10x + 21 = 0

II. y² – 16y + 63 = 0

A x > y

B x ≥ y

C x < y

D x ≤ y

E x = y or the relation cannot be determined

Solution

Correct Answer: Option D

We will solve both the equations separately.

Equation I:

x² – 10x + 21 = 0

⇒ x² – 7x – 3x + 21 = 0

⇒ (x – 3) (x – 7) = 0

⇒ x = 3 or x = 7

Equation II:

y² – 16y + 63 = 0

⇒ y² – 9y – 7y + 63 = 0

⇒ (y – 7) (y – 9) = 0

⇒ y = 7 y = 9

Comparing the values of x and y we get,

x ≤ y

Solution

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