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Standard XII

Mathematics

Inequalities Involving Modulus Function

If [3 root 3+...

Question

If [3 root 3+2 root 11]-[3 root 11-root 3]=4 root 3 + X root 11,Then what is the value of X?
A]-2
B]-1
C]0
D]1

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Solution

Dear Student,
Solution:
$(3 \sqrt{3} + 2 \sqrt{11}) - (3 \sqrt{11} - \sqrt{3}) = 4 \sqrt{3} + X \sqrt{11} \Rightarrow 3 \sqrt{3} + 2 \sqrt{11} - 3 \sqrt{11} + \sqrt{3} \Rightarrow 4 \sqrt{3} - \sqrt{11} = 4 \sqrt{3} + X \sqrt{11} Comparing LHS and RHS X = - 1$
Regards

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Question 11.
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(d) one real roots

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If [3 root 3+2 root 11]-[3 root 11-root 3]=4 root 3 + X root 11,Then what is the value of X? A]-2 B]-1 C]0 D]1

Dear Student, Solution: (33+211)-(311-3)=43+X11⇒33+211-311+3⇒43-11=43+X11Comparing LHS and RHSX=-1 Regards

If [3 root 3+2 root 11]-[3 root 11-root 3]=4 root 3 + X root 11,Then what is the value of X?
A]-2
B]-1
C]0
D]1

Dear Student,
Solution:
$(3 \sqrt{3} + 2 \sqrt{11}) - (3 \sqrt{11} - \sqrt{3}) = 4 \sqrt{3} + X \sqrt{11} \Rightarrow 3 \sqrt{3} + 2 \sqrt{11} - 3 \sqrt{11} + \sqrt{3} \Rightarrow 4 \sqrt{3} - \sqrt{11} = 4 \sqrt{3} + X \sqrt{11} Comparing LHS and RHS X = - 1$
Regards