Question

Assertion :The equation $si{n}^{2}x+co{s}^{2}y=2se{c}^{2}z$ is only solvable when $sinx=1,cosy=1$ and $secz=1$ where $x,y,z\in R$. Reason: The maximum value of $\sin x$ and $\cos y$ is $1$ and the minimum value of $\sec z$ is $1.$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

Assertion$\to$ is Correct as 1+1=2

Now, Reason $\to$ The maximum value of $\sin x$ and $\cos y$ is $1$

but Minimum value of $\sec z=-1$

Therefore, Assertion is correct but Reason is incorrect