MCQ
In a $\triangle\text{ABC}$ it is given that $AD$ is the internal bisector of $\angle\text{A}.$ If $BD = 4\ cm, DC = 5\ cm$ and $AB = 6\ cm,$ then $AC =?$
- A$4.5\ cm$
- B$8\ cm$
- C$9\ cm$
- ✓$7.5\ cm$
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Column $I$
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Column $II$
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| $a.$ |
The radii of the circular ends of a bucket, in the form of the frustum of a cone of height $30\ cm$, are $20\ cm$ and $10\ cm$ respectively. The capacity of the bucket is $......cm^3$.
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$p.$ |
$2418\pi$
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| $b.$ |
The radii of the circular ends of a conical bucket of height $15\ cm$ are $20$ and $12\ cm$ respectively. The slant height of the bucket is $...... cm$.
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$q.$ |
$22000$
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| $c.$ |
The radii of the circular ends of a solid frustum of a cone are $33\ cm$ and $27\ cm$ and its slant height is $10\ cm$. The total surface area of the bucket is $....cm^2$.
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$r.$ |
$12$
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| $d.$ |
Three solid metallic spheres of radii $3\ cm, 4\ cm$ and $5\ cm$ are melted to form a single solid sphere. The diameter of the resulting sphere is $ ...... cm$.
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$s.$ |
$17$
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