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State T for true and F for false and select the CORRECT option.
P. If `(3+2sqrt(5))/(4-2sqrt(5)) = p+q sqrt(5)`, when p and q are rational numbers, then value of p and q respectively are -8 and 7/2.
Q. `2.bar6-0.bar(82)` is equal to 182/99.
R. If `a=2+sqrt(3)+sqrt(5) and b= 3+sqrt(3)-sqrt(5)`, then `a^(2)+b^(2)-4a-6b-3` is equal to 0.
S. If `x=3sqrt(5)+2sqrt(2) and y=3sqrt(5) -2sqrt(2)`, then the value of `(x^(2)-y^(2))^(2)` is 240.

A

`{:(P,Q,R,S),(T,F,F,F):}`

B

`{:(P,Q,R,S),(F,F,T,T):}`

C

`{:(P,Q,R,S),(T,T,F,T):}`

D

`{:(P,Q,R,S),(F,T,T,F):}`

Text Solution

Verified by Experts

The correct Answer is:
D
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