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If a sectheta = 1 -b tan theta and a^2 s...

If a `sectheta = 1 -b tan theta and a^2 sec^2 theta = 5 + b^2 tan^2 theta,` then (i) `a^2b^2-4a^2=9b^2` (ii) `a^2b^2+4a^2=9b^2` (iii) `a^2b^2+9b^2=4a^2` (iv) `a^2b^2+9b^2=5a^2`

A

`a ^(2) b ^(2) - 4a ^(2) = 9b ^(2)`

B

`a^(2) b^(2) + 4a ^(2)= 9b ^(2)`

C

`a ^(2)b ^(2) + 9b ^(2)= 4a^(2)`

D

`4a ^(2) b ^(2) + 9b ^(2) = 5a ^(2)`

Text Solution

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The correct Answer is:
B
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