KnowledgeBoat Logo
|

Mathematics

Assertion (A) : 687 x 687 - 313 x 313 = 37400

Reason (R) : The product of the sum and difference of the same two terms = The square of their difference.

  1. Both A and R are correct, and R is the correct explanation for A.

  2. Both A and R are correct, and R is not the correct explanation for A.

  3. A is true, but R is false.

  4. A is false, but R is true.

Identities

1 Like

Answer

We know that,

The product of the sum and difference of the same two terms = Difference of their squares.

(a + b)(a - b) = a2 - b2

So, reason (R) is true.

Given,

⇒ 687 x 687 - 313 x 313 = 34700

Solving, L.H.S.

⇒ 687 x 687 - 313 x 313

⇒ 6872 - 3132

⇒ (687 - 313)(687 + 313)

⇒ 374 x 1000

⇒ 374000.

Since, L.H.S. ≠ R.H.S.

So, assertion (A) is false.

Hence, option 4 is the correct option.

Answered By

1 Like


Related Questions