यदि $\tan x = \frac{{2b}}{{a - c}}(a \ne c),$
$y = a\,{\cos ^2}x + 2b\,\sin x\cos x + c\,{\sin ^2}x$
तथा $z = a{\sin ^2}x - 2b\sin x\cos x + c{\cos ^2}x,$ हो, तब
यदि $\tan x = \frac{{2b}}{{a - c}}(a \ne c),$
$y = a\,{\cos ^2}x + 2b\,\sin x\cos x + c\,{\sin ^2}x$
तथा $z = a{\sin ^2}x - 2b\sin x\cos x + c{\cos ^2}x,$ हो, तब
- A
$y = z$
- B
$y + z = a + c$
- C
$y - z = a + c$
- D
$y - z = {(a - c)^2} + 4{b^2}$
Similar Questions
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$2{\cos ^2}\theta - 2{\sin ^2}\theta = 1$, तो $\theta =$ ..........$^o$
$\left( {\frac{{\sin 2A}}{{1 + \cos 2A}}} \right)\,\left( {\frac{{\cos A}}{{1 + \cos A}}} \right)= $
$\left( {\frac{{\sin 2A}}{{1 + \cos 2A}}} \right)\,\left( {\frac{{\cos A}}{{1 + \cos A}}} \right)= $
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- [IIT 1977]
यदि $x = \sin {130^o}\,\cos {80^o},\,\,y = \sin \,{80^o}\,\cos \,{130^o},\,\,z = 1 + xy,$ तब निम्न में से कौन सा कथन सत्य है
यदि $x = \sin {130^o}\,\cos {80^o},\,\,y = \sin \,{80^o}\,\cos \,{130^o},\,\,z = 1 + xy,$ तब निम्न में से कौन सा कथन सत्य है
यदि $\cos 3\theta = \alpha \cos \theta + \beta {\cos ^3}\theta ,$ तो $(\alpha ,\beta ) = $
यदि $\cos 3\theta = \alpha \cos \theta + \beta {\cos ^3}\theta ,$ तो $(\alpha ,\beta ) = $