Mathematics
If 5a = 302 - 252, the value of a is:
5
11
55
none of these
Identities
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Answer
Using the formula,
[∵(x - y)(x + y) = x2 - y2]
5a = 302 - 252
⇒ 5a = (30 - 25) ( 30 + 25)
⇒ 5a = 5 x 55
⇒ 5a = 275
⇒ a =
⇒ a = 55
Hence, option 3 is the correct option.
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Statement 2: (a - b)2 - (a + b)2 = 4ab.
Which of the following options is correct?
Both the statements are true.
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Statement 1 is true, and statement 2 is false.
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Assertion (A) : Use appropriate identity, we get 22.5 x 21.5 = 484.75.
Reason (R) : The product: (x + y)(x - y) = x2 - y2.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.