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Question (11)

QN009348

Which expression is equal to 49p 2 −70pq+25q 2 ?

(A) (7p+5q) 2
(B) (7p−5q) 2
(C) (49p−25q) 2
(D) (5p−7q) 2

Correct Answer: B

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Question (12)

QN009349

The value of (49) 2 using identities is

(A) 2401
(B) 2601
(C) 2500
(D) 2301

Correct Answer: A

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Question (13)

QN009350

Three consecutive numbers are n−1, n, and n+1. Then (n−1) 2 +(n+1) 2 −2n 2 equals

(A) 0
(B) 1
(C) 2
(D) 4

Correct Answer: C

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Question (14)

QN009351

Which identity is obtained by replacing b with −b in (a+b) 2 =a 2 +2ab+b 2 ?

(A) (a−b) 2 =a 2 +b 2
(B) (a−b) 2 =a 2 −2ab+b 2
(C) (a+b) 2 =a 2 −2ab+b 2
(D) a 2 −b 2 =(a+b)(a−b)

Correct Answer: B

Explanation:

Substitute −b for b.

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Question (15)

QN009352

Expand (2x−3y) 2 .

(A) 4x 2 −9y 2
(B) 4x 2 −12xy+9y 2
(C) 2x 2 −12xy+3y 2
(D) 4x 2 +12xy+9y 2

Correct Answer: B

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Question (16)

QN009353

The square of 97 is

(A) 9309
(B) 9409
(C) 9609
(D) 9801

Correct Answer: B

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Question (17)

QN009354

Which identity represents the square of three terms?

(A) (a+b) 2 =a 2 +2ab+b 2
(B) (a−b) 2 =a 2 −2ab+b 2
(C) (a+b+c) 2 =a 2 +b 2 +c 2 +2ab+2bc+2ca
(D) a 2 −b 2 =(a+b)(a−b)

Correct Answer: C

Explanation:

This is the identity for square of a trinomial.

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Question (18)

QN009355

Expand (x+2y+3z) 2 .

(A) x 2 +4y 2 +9z 2 +2xy+3yz+6xz
(B) x 2 +4y 2 +9z 2 +4xy+12yz+6xz
(C) x 2 +2y 2 +3z 2 +2xy+2yz+2xz
(D) x 2 +4y 2 +9z 2 +2xy+12yz+12xz

Correct Answer: B

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Question (19)

QN009356

The value of (101) 2 is

(A) 10101
(B) 10201
(C) 10001
(D) 10401

Correct Answer: B

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Question (20)

QN009357

Which ancient mathematician’s method was mentioned for quickly finding squares using a 2 =(a+b)(a−b)+b 2 ?

(A) Aryabhata
(B) Brahmagupta
(C) Śhrīdharāchārya
(D) Bhaskara II

Correct Answer: C

Explanation:

The chapter mentions Śhrīdharāchārya.

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Question (11)

Which expression is equal to 49p 2 −70pq+25q 2 ?

Explanation:

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Question (12)

The value of (49) 2 using identities is

Explanation:

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Question (13)

Three consecutive numbers are n−1, n, and n+1. Then (n−1) 2 +(n+1) 2 −2n 2 equals

Explanation:

Link:

Question (14)

Which identity is obtained by replacing b with −b in (a+b) 2 =a 2 +2ab+b 2 ?

Explanation:

Link:

Question (15)

Expand (2x−3y) 2 .

Explanation:

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Question (16)

The square of 97 is

Explanation:

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Question (17)

Which identity represents the square of three terms?

Explanation:

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Question (18)

Expand (x+2y+3z) 2 .

Explanation:

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Question (19)

The value of (101) 2 is

Explanation:

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Question (20)

Which ancient mathematician’s method was mentioned for quickly finding squares using a 2 =(a+b)(a−b)+b 2 ?

Explanation:

Link:

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