Helium mixed with oxygen is used in the treatment of
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Match the following columns:
Column-$I$ Column-$II$ $(A)$ Blue-green algae $(I)$ Spirogyra $(B)$ Unicellular algae $(II)$ Nostoc $(C)$ Filamentous algae $(III)$ Volvox $(D)$ Colonial algae $(IV)$ Chlamydomonas
| Column-$I$ | Column-$II$ |
| $(A)$ Blue-green algae | $(I)$ Spirogyra |
| $(B)$ Unicellular algae | $(II)$ Nostoc |
| $(C)$ Filamentous algae | $(III)$ Volvox |
| $(D)$ Colonial algae | $(IV)$ Chlamydomonas |
If $e^{f(x)}=\frac{10+x}{10-x}, x \in(-10,10)$ and $f(x)=k f\left(\frac{200 x}{100+x^2}\right)$,then $k$ is equal to
What is the figure given below showing in particular?
The area (in square units) of the circle which touches the lines $4x + 3y = 15$ and $4x + 3y = 5$ is
For an ellipse with eccentricity $e = \frac{1}{2}$,the centre is at the origin. If one directrix is $x = 4$,then the equation of the ellipse is:
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