Question

find the volume of wood Rekha required to make a top open box of dimension 15 centimetre by 12 CM by its length and thickness of what is meant centimetre

Answer 1

Step-by-step explanation:

$x² + y² - 2x - 4y = 0</p><p></p><p>\huge\color{pink}{\underline{\underline{explanation\::}}}explanation:</p><p></p><p>Let (x−h)² + (y−k)² = r² …………..(1)</p><p></p><p>where (h, k) is the centre of the circle and r is the radius.</p><p></p><p>Let us draw a line A(2,0) and B(4,0). If the centre lies outside the line AB then it is a chord.</p><p></p><p>The diameter of the circle is bigger than the chord. Suppose AB is the diameter of the circle then the centre of the circle must be a midpoint of AB.</p><p></p><p>∴ Using section formula</p><p></p><p>h = (2+0)/2 = 1</p><p></p><p>k = (4+0)/2 = 2</p><p></p><p>∴ Coordinates of the centre=(h,k) =(1,2)</p><p></p><p>Equation (1) becomes,</p><p></p><p>(x−1)² + (y - 2)² = r² …………….(2)</p><p></p><p>Since (2) passes through (2,0), equation (2) can be written as,</p><p></p><p>(2−1)² +(0−2)² = r²</p><p></p><p>1² + 2² = r²</p><p></p><p>1+4 = r²</p><p></p><p>r² = 5</p><p></p><p>r = √5</p><p></p><p>Equation of the circle with minimum radius is</p><p></p><p>∴(x−1)² + (y−2)² = 5</p><p></p><p>⇒x² +1−2x+y² + 4 − 4y = 5</p><p></p><p>⇒x² + y² - 2x - 4y + 5 - 5 = 0</p><p></p><p>⇒x² + y² - 2x - 4y = 0</p><p></p><p>\huge\color{yellow}{\underline{\underline{so \: the \: final \: equation \: is \: \::}}}sothefinalequationis:</p><p></p><p>x² + y² - 2x - 4y = 0</p><p></p><p>$

Answer 2

Step-by-step explanation:

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