Manipur Board Class 12 Engineering Drawing Question Paper 2022 with Answer Key (April 29)

Manipur Board Class 12 Engineering Drawing Question Paper 2022 with Answer Key pdf is available for download here. The exam was conducted by Council Of Higher Secondary Education, Manipur on April 29, 2022. The question paper comprised a total of 4 questions.

Manipur Board Class 12 Engineering Drawing Question Paper 2022

Manipur Board Class 12 Engineering Drawing Question Paper 2022 PDF	Manipur Board Class 12 Engineering Drawing Answer Key 2022 PDF
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BSEM Questions

1.
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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2.
Show that the square of an odd integer is of the form \( 8k + 1 \).

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3.
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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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.
Find the area of the quadrilateral whose vertices are \( (1,1) \), \( (3,4) \), \( (5,-2) \) and \( (4,-7) \) taken in order.

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Manipur Board Class 12 Engineering Drawing Question Paper 2022 with Answer Key (April 29)

Manipur Board Class 12 Engineering Drawing Question Paper 2022

BSEM Questions

1.
Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

2.
Show that the square of an odd integer is of the form \( 8k + 1 \).

3.
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.

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.
Find the area of the quadrilateral whose vertices are \( (1,1) \), \( (3,4) \), \( (5,-2) \) and \( (4,-7) \) taken in order.

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Manipur Board Class 12 Engineering Drawing Question Paper 2022

BSEM Questions

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

2.Show that the square of an odd integer is of the form \( 8k + 1 \).

3.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.

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.Find the area of the quadrilateral whose vertices are \( (1,1) \), \( (3,4) \), \( (5,-2) \) and \( (4,-7) \) taken in order.

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1.
Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

2.
Show that the square of an odd integer is of the form \( 8k + 1 \).

3.
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.

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.
Find the area of the quadrilateral whose vertices are \( (1,1) \), \( (3,4) \), \( (5,-2) \) and \( (4,-7) \) taken in order.