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QJEEM16Maec04: JEE Main 2016 Mathematics - Class 11 JEEM16Maec04 Solution: The contrapositive of the following statement, “If the side of…

The contrapositive of the following statement,

“If the side of a square doubles, then its area increases four times”, is :

Multiple Choice Options

  • A If the side of a square is not doubled, then its area does not increase four times.
  • B If the area of a square increases four times, then its side is doubled.
  • C If the area of a square increases four times, then its side is not doubled.
  • D If the area of a square does not increase four times, then its side is not doubled.

Step-by-Step Verified Solution

Contrapositive of p →\to q is ∼\sim q →\to ∼\sim p.

Here,

Let

   p = Side of a square is doubles.

   q = Area of square increases four times.

∴\therefore     ∼\sim q →\to   ∼\sim p = If the area of a square does not increase four times, then its side is not doubled.

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