Assertion (A): Distance of (x² - 7x + 12) km is covered in (x² - 16) hrs. Speed = km/hr Reason (R): Speed = Distance x Time = (x² - 7x + 12)(x2 - 16) km/hr 1. A is true, but R is false. 2. A is false, but R is true. 3. Both A and R are true, and R is the correct reason for A. 4. Both A and R are true, and R is the incorrect reason for A.

Given, Distance = (x2 - 7x + 12) km Time = (x2 - 16) hrs By formula, Speed = = km/hr ∴ A is true, but R is false. Hence, option 1 is the correct option.

Mathematics

Assertion (A): Distance of (x² - 7x + 12) km is covered in (x² - 16) hrs.
Speed = $\dfrac{x^2 - 7x + 12}{x^2 - 16}$ km/hr
Reason (R): Speed = Distance x Time
= (x² - 7x + 12)(x² - 16) km/hr
A is true, but R is false.
A is false, but R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.

Factorisation

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Answer

Given,

Distance = (x² - 7x + 12) km

Time = (x² - 16) hrs

By formula,

Speed = $\dfrac{\text{Distance}}{\text{Time}}$

= $\dfrac{x^2 - 7x + 12}{x^2 - 16}$ km/hr

∴ A is true, but R is false.

Hence, option 1 is the correct option.

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