Class 11

13. Properties of Triangle and Height & Distance question bank (Maths)

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Q1.

If \(\sin \theta + \cos \theta = 1\) then the general value of \(\theta\) is

(A)
\(2n\pi\)
(B)
\(n\pi + (-1)^n \frac{\pi}{4} - \frac{\pi}{4}\)
(C)
\(2n\pi + \frac{\pi}{2}\)
(D)
None of these
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Q2.

If \(\sin^2 \theta = \frac{1}{4}\), then the most general value of \(\theta\) is

(A)
\(2n\pi \pm (-1)^n \frac{\pi}{6}\)
(B)
\(\frac{n\pi}{2} \pm (-1)^n \frac{\pi}{6}\)
(C)
\(n\pi \pm \frac{\pi}{6}\)
(D)
\(2n\pi \pm \frac{\pi}{6}\)
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