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Linear Equations in Two Variables

Find the valu...

Question

Find the value of $a$ and $b$ if $\frac{(\sqrt 11 + \sqrt 7)}{(\sqrt 11 - \sqrt 7)}$ $= a - \sqrt 77 b$ .

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Q. It is given that 𝐚 = √𝟕 + 𝟑, 𝐛 = 𝟐√𝟕 − 𝟑, and 𝐜 = √𝟕 − 𝟑. Which of the following operations needs to be performed to get a rational number?

Q. Mark the correct choice as:
Assertion(A):

34 3^{\frac{2}{3}}

7^{- 1}

7^{3}

Reason(R): If 𝐚 be a real number, then

a^{0}

Q. Mark the correct choice as:
Assertion(A):

34 3^{2 / 3}

7^{- 1}

7^{3}

Reason(R): If 𝐚 > 0 be a real number and 𝐩 and 𝐪 be rational numbers. Then

a^{0}

Q. If 𝑨={𝟑, 𝟓, 𝟕, 𝟗, 𝟏𝟏} and 𝑩={𝟐, 𝟒, 𝟔, 𝟖, 𝟏𝟏}, state whether the following are true or false.
1. 𝟐 ∉ 𝑨
2. 𝟐, 𝟒 and 𝟏𝟎 ∈ 𝑩
3. (𝟏𝟏 – 𝟐) ∉ 𝑨
4. 𝟗 ∈ 𝑨 and 𝟗 ∉ 𝑩

a = i - j + k, a \cdot b = 0, a \times b = c,

c = - 2 i - j + k

b

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