Manipur Board Class 12 Paite Question Paper 2026 PDF with Solutions

Arts and Board Exam Specialist | Updated on - Feb 18, 2026

Manipur Board is conducting the Class 12 Paite Board Exam 2026 on February 19, 2026. Class 12 Paite Question Paper with Solution PDF will be available here for download.

The official question paper of Manipur Board Class 12 Paite Board Exam 2026 is provided below. Students can download the official paper in PDF format for reference.

Manipur Board Class 12 2026 Paite Question Paper with Solution PDF

Manipur Board Class 12 Paite Question Paper 2026	Download PDF	Check Solutions

1.
A metallic sphere of radius \(9\) cm is melted and recast to form a cylinder of radius \(3\) cm. Find the curved surface area of the cylinder.
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2.
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.
View Solution
3.
Show that the square of an odd integer is of the form \( 8k + 1 \).
View Solution
4.
If three consecutive vertices of a parallelogram are \( A(1,-2) \), \( B(3,6) \) and \( C(5,10) \), find its fourth vertex.
View Solution
5.
Find the area of a circle whose radius is 7 cm.
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6.
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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7.
Prove that \(x^n - y^n\) is divisible by \(x+y\) only when \(n\) is even.
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8.
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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9.
If \(x, y, z\) are real numbers, \(x \neq 0\), and \(xy = xz\), prove that \(y = z\).
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10.
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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11.
State and prove Basic Proportionality Theorem.
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12.
If \( \cos A = \dfrac{3}{5} \), calculate \( \sin A \) and \( \tan A \).
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13.
A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height \(h\). At a point on the plane, the angle of elevation of the bottom of the flagstaff is \(\alpha\) and that of the top of the flagstaff is \(\beta\). Prove that the height of the tower is \(\dfrac{h\tan\alpha}{\tan\beta-\tan\alpha}\).
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14.
Define mode of a frequency distribution.
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15.
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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Manipur Board Class 12 2026 Paite Question Paper with Solution PDF

1.A metallic sphere of radius \(9\) cm is melted and recast to form a cylinder of radius \(3\) cm. Find the curved surface area of the cylinder.

2.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.

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

4.If three consecutive vertices of a parallelogram are \( A(1,-2) \), \( B(3,6) \) and \( C(5,10) \), find its fourth vertex.

5.Find the area of a circle whose radius is 7 cm.

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

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

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

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

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

11.State and prove Basic Proportionality Theorem.

12.If \( \cos A = \dfrac{3}{5} \), calculate \( \sin A \) and \( \tan A \).

14.Define mode of a frequency distribution.

15.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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1.
A metallic sphere of radius \(9\) cm is melted and recast to form a cylinder of radius \(3\) cm. Find the curved surface area of the cylinder.

2.
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.

3.
Show that the square of an odd integer is of the form \( 8k + 1 \).

4.
If three consecutive vertices of a parallelogram are \( A(1,-2) \), \( B(3,6) \) and \( C(5,10) \), find its fourth vertex.

5.
Find the area of a circle whose radius is 7 cm.

6.
Show that\( a^3 + b^3 + c^3 - 3abc = \dfrac{1}{2}(a+b+c)\left\{(a-b)^2 + (b-c)^2 + (c-a)^2\right\}\)

7.
Prove that \(x^n - y^n\) is divisible by \(x+y\) only when \(n\) is even.

8.
Find the area of the quadrilateral whose vertices are \( (1,1) \), \( (3,4) \), \( (5,-2) \) and \( (4,-7) \) taken in order.

9.
If \(x, y, z\) are real numbers, \(x \neq 0\), and \(xy = xz\), prove that \(y = z\).

10.
Write down the formula to find the area of a triangle whose vertices are \((x_1,y_1)\), \((x_2,y_2)\) and \((x_3,y_3)\).

11.
State and prove Basic Proportionality Theorem.

12.
If \( \cos A = \dfrac{3}{5} \), calculate \( \sin A \) and \( \tan A \).

14.
Define mode of a frequency distribution.

15.
Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.