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

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Subjects
Mathematics State Board
Class 10
Algebra
Zeroes, Roots of Quadratic Equation; Formation and Solving Quadratic Equations

18. Solving quadratic equation: Broken tree

Exercise condition:

5 m.

Meera 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. Meera helped the officer to measure the broken tree in her house.

The unbroken part of the tree is 3 $m$ more than the distance between the foot of the tree to the point where the top touches the ground. This is because the length of the broken part is 3 $m$ more than the unbroken part.

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

$x^{2} - 6 x - 27 = 0$
$x^{2} + 6 x + 27 = 0$
$x^{2} - 6 x + 27 = 0$
$x^{2} + 6 x - 27 = 0$

2. The base of the tree:

$3 \ m$
$9 \ m$
$20 \ m$
$10 \ m$

3. The length of the unbroken part:

$3 \ m$
$15 \ m$
$12 \ m$
$22 \ m$

4. The length of the broken part:

$17 \ m$
$12 \ m$
$9 \ m$
$15 \ m$

5. The total height of the tree:

$21 \ m$
$29 \ m$
$27 \ m$
$24 \ m$

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