MCQ
$\int_{\pi /4}^{\pi /2} {\cos \theta \,{\rm{cose}}{{\rm{c}}^{\rm{2}}}\theta \,d\theta = } $
- ✓$\sqrt 2 - 1$
- B$1 - \sqrt 2 $
- C$\sqrt 2 + 1$
- Dએકપણ નહીં.
Put $t = \sin \theta \Rightarrow dt = \cos \theta \,\,d\theta ,$
then we have
$\int_{1/\sqrt 2 }^1 {\frac{1}{{{t^2}}}dt} = \left[ {\frac{{ - 1}}{t}} \right]_{1/\sqrt 2 }^1 $
$= \sqrt 2 - 1$.
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$2 x+y-z=5$
$2 x-5 y+\lambda z=\mu$
$x+2 y-5 z=7$
ને અસંખ્ય ઉકેલો હોય,તો
$(\lambda+\mu)^2+(\lambda-\mu)^2=........$