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Statement -1 : If a, b,c, theta in R, th...

Statement -1 : If a, b,c, `theta in R`, then the equation `a sin theta + b cos theta=c ` has a solution only if `c^2 gt a^2 + b^2 `
Statement-2 : If a,b,c, `theta ne R,` thent he minimuma nd maximum values of a `sintheta + b cos theta ` are respectively `-sqrt(a^2-b^2) and sqrt(a^2 +b^2)`

A

Statement-1 is True, Statement-2 is True and Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True and Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

Verified by Experts

The correct Answer is:
D
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