Question

1. Multiple Choice Questions (MCQs): 1 x 4 = (i) The expression 4 pq which is expressed as the difference of the squares of two expressions is ?
​

Answer 1

Answer:

Correct option is

B

2nπ−

4

π

Given

2

secx+tanx=1

⟹

cosx

2

+

cosx

sinx

=1

(secx=

cosx

1

,tanx=

cosx

sinx

)

⟹

2

+sinx=cosx

⟹cosx−sinx=

2

⟹

2

1

cosx−

2

1

sinx=1

⟹cos

4

π

cosx−sin

4

π

sinx=cos0

⟹cos(

4

π

+x)=cos0

(cos(A+B)=cosAcosB−sinAsinB)

⟹cos(

4

π

+x)=cos0

⟹

4

π

+x=2nπ

(cosk=0⟹k=2nπ)

⟹x=2nπ−

4

π

Answer 2

SOLUTION

CORRECT QUESTION

The expression 4pq which is expressed as the difference of the squares of two expressions is

EVALUATION

Here the given expression is 4pq

Now we express it as the difference of the squares of two expressions as below

$\sf 4pq$

$\sf = 2pq - ( - 2pq)$

$\sf =( {p}^{2} + {q}^{2} + 2pq )- ({p}^{2} + {q}^{2} - 2pq)$

$\sf =( {p}^{2} + 2pq + {q}^{2} )- ({p}^{2} - 2pq+ {q}^{2})$

$\sf =( {p}^{2} + 2.p.q + {q}^{2} )- ({p}^{2} - 2.p.q+ {q}^{2})$

$\sf ={(p + q)}^{2} - {(p - q)}^{2}$

FINAL ANSWER

$\sf 4pq={(p + q)}^{2} - {(p - q)}^{2}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Find the value of the expression a² – 2ab + b² for a = 1, b = 1

https://brainly.in/question/28961155

2. to verify algebraic identity a2-b2=(a+b)(a-b)

https://brainly.in/question/10726280