Manipur Board Class 12 Ruangmei Question Paper 2020 with Answer Key (Febraury 20)

Manipur Board Class 12 Ruangmei Question Paper 2020 with Answer Key pdf is available for download here. The exam was conducted by Council Of Higher Secondary Education, Manipur on Febraury 20, 2020. The question paper comprised a total of 18 questions divided among 4 sections.

Manipur Board Class 12 Ruangmei Question Paper 2020

Manipur Board Class 12 Ruangmei Question Paper 2020 PDF	Manipur Board Class 12 Ruangmei Answer Key 2020 PDF
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BSEM Questions

1.
Show that\( a^3 + b^3 + c^3 - 3abc = \dfrac{1}{2}(a+b+c)\left\{(a-b)^2 + (b-c)^2 + (c-a)^2\right\}\)

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2.
Prove that \(x^n - y^n\) is divisible by \(x+y\) only when \(n\) is even.

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3.
Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

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4.
If \(x, y, z\) are real numbers, \(x \neq 0\), and \(xy = xz\), prove that \(y = z\).

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5.
Write down the formula to find the area of a triangle whose vertices are \((x_1,y_1)\), \((x_2,y_2)\) and \((x_3,y_3)\).

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6.
The ratio of incomes of two persons is \(9:7\) and the ratio of their expenditures is \(4:3\). If each of them saves Rs. \(5000\) per month, find their monthly incomes.

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Manipur Board Class 12 Ruangmei Question Paper 2020 with Answer Key (Febraury 20)

Manipur Board Class 12 Ruangmei Question Paper 2020

BSEM Questions

1.
Show that\( a^3 + b^3 + c^3 - 3abc = \dfrac{1}{2}(a+b+c)\left\{(a-b)^2 + (b-c)^2 + (c-a)^2\right\}\)

2.
Prove that \(x^n - y^n\) is divisible by \(x+y\) only when \(n\) is even.

3.
Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

4.
If \(x, y, z\) are real numbers, \(x \neq 0\), and \(xy = xz\), prove that \(y = z\).

5.
Write down the formula to find the area of a triangle whose vertices are \((x_1,y_1)\), \((x_2,y_2)\) and \((x_3,y_3)\).

6.
The ratio of incomes of two persons is \(9:7\) and the ratio of their expenditures is \(4:3\). If each of them saves Rs. \(5000\) per month, find their monthly incomes.

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Manipur Board Class 12 Ruangmei Question Paper 2020

BSEM Questions

1.Show that\( a^3 + b^3 + c^3 - 3abc = \dfrac{1}{2}(a+b+c)\left\{(a-b)^2 + (b-c)^2 + (c-a)^2\right\}\)

2.Prove that \(x^n - y^n\) is divisible by \(x+y\) only when \(n\) is even.

3.Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

4.If \(x, y, z\) are real numbers, \(x \neq 0\), and \(xy = xz\), prove that \(y = z\).

5.Write down the formula to find the area of a triangle whose vertices are \((x_1,y_1)\), \((x_2,y_2)\) and \((x_3,y_3)\).

6.The ratio of incomes of two persons is \(9:7\) and the ratio of their expenditures is \(4:3\). If each of them saves Rs. \(5000\) per month, find their monthly incomes.

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1.
Show that\( a^3 + b^3 + c^3 - 3abc = \dfrac{1}{2}(a+b+c)\left\{(a-b)^2 + (b-c)^2 + (c-a)^2\right\}\)

2.
Prove that \(x^n - y^n\) is divisible by \(x+y\) only when \(n\) is even.

3.
Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

4.
If \(x, y, z\) are real numbers, \(x \neq 0\), and \(xy = xz\), prove that \(y = z\).

5.
Write down the formula to find the area of a triangle whose vertices are \((x_1,y_1)\), \((x_2,y_2)\) and \((x_3,y_3)\).

6.
The ratio of incomes of two persons is \(9:7\) and the ratio of their expenditures is \(4:3\). If each of them saves Rs. \(5000\) per month, find their monthly incomes.