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எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Subjects
Mathematics CBSE
Class 10
Quadratic Equations
Solution of a quadratic equation by factorisation

14. Solving quadratic equation: Broken tree

Exercise condition:

5 m.

Prema lives in a village where a lot of plants and trees are there. One day, it rained heavily in her village. As a result, several trees were broken and fell to the ground, as shown in the figure. The next day, the Government Revenue Officer came to the village to measure the broken trees. Prema helped the officer to measure the broken tree in her house.

The unbroken part of the tree is 2 $m$ more than the distance between the foot of the tree to the point where the top touches the ground. The length of the broken part is 2 $m$ more than the unbroken part.

1. Which of the following is the equation which describes the given situation?

$x^{2} - 4 x + 12 = 0$
$x^{2} + 4 x - 12 = 0$
$x^{2} - 4 x - 12 = 0$
$x^{2} + 4 x + 12 = 0$

2. The base of the tree:

$6 \ m$
$2 \ m$
$14 \ m$
$7 \ m$

3. The length of the unbroken part:

$14 \ m$
$2 \ m$
$10 \ m$
$8 \ m$

4. The length of the broken part:

$10 \ m$
$6 \ m$
$12 \ m$
$8 \ m$

5. The total height of the tree:

$20 \ m$
$14 \ m$
$18 \ m$
$16 \ m$

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