It is given that
![\[\mathbf{x}\text{ }+\text{ }\mathbf{5}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8f939c20a3a0abf0762365c53db07125_l3.png "Rendered by QuickLaTeX.com")
is the mean proportion between
![\[\mathbf{x}\text{ }+\text{ }\mathbf{2}\text{ }\mathbf{and}\text{ }\mathbf{x}\text{ }+\text{ }\mathbf{9}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-2d7a6d9fc955fed1476f84cb2f89d2ee_l3.png "Rendered by QuickLaTeX.com")
We can write it as
![\[{{\left( x\text{ }+\text{ }5 \right)}^{2}}~=\text{ }\left( x\text{ }+\text{ }2 \right)\text{ }\left( x\text{ }+\text{ }9 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-cc15ff547b5df3ad6bb81b75ff671eb9_l3.png "Rendered by QuickLaTeX.com")
By further calculation
![\[\begin{array}{*{35}{l}} {{x}^{2}}~+\text{ }10x\text{ }+\text{ }25\text{ }=\text{ }{{x}^{2}}~+\text{ }11x\text{ }+\text{ }18 \\ {{x}^{2}}~+\text{ }10x\text{ }\text{ }{{x}^{2}}~\text{ }11x\text{ }=\text{ }18\text{ }\text{ }25 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d8ccfdaae7a9a821e7d4a4f9a1b0b5da_l3.png "Rendered by QuickLaTeX.com")
So we get
![\[\begin{array}{*{35}{l}} \text{ }x\text{ }=\text{ }\text{ }7 \\ x\text{ }=\text{ }7 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-f45d280a52d1ea5daba3ed5a155c7097_l3.png "Rendered by QuickLaTeX.com")
Hence, the value of x is
![\[7\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-6064bfa4cc3ec5261b106372b5e270dd_l3.png "Rendered by QuickLaTeX.com")
.
If
If
and 
, internal resistance 
and 
, connected in parallel. The equivalent emf of the combination is- (A) 
(B) 
(C) 
(D) 
and 
are collinear, prove that 
and 
be three points such that area of a 
is 4 sq units, find the value of 
.
and 
is 35 sq units.
and 
are collinear.
and 
are collinear.
and 
are collinear.
and 