Correct Answer - Option 5 :

No relation in x and y or x = y

**Given:**

I. x2 - 6x - 40 = 0

II. 2y2 - 17y + 36 = 0

**Calculation:**

**From I**

x2 - 6x - 40 = 0

⇒ x^{2} - 10x + 4x - 40 = 0

⇒ x(x - 10) + 4(x - 10) = 0

⇒ (x - 10)(x + 4) = 0

⇒ x = 10, -4

**From II**

2y2 - 17y + 36 = 0

⇒ 2y^{2} - 8y - 9y + 36 = 0

⇒ 2y(y - 4) - 9(y - 4) = 0

⇒ (y - 4)(2y - 9) = 0

⇒ y = 4, 9/2

Comparison between x and y (via Tabulation)

Value of x |
Value of y |
Relation between x & y |

-4 |
9/2 |
x < y |

-4 |
4 |
x < y |

10 |
9/2 |
x > y |

10 |
4 |
x > y |

**∴ No relation in x and y or x = y.**