# Bihar Board 10th Model Question Paper 2020

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The Bihar School Examination Board (BSEB) conducts the Class 10th board examination annually. The exam pattern comprises of multiple-choice questions and subjective questions. The duration of the examination is three hours, and the maximum marks are 100.

Here is a sample model question paper for the subject Mathematics:

Section A – Objective Type Questions

If a + b = 5 and a2 + b2 = 17, find the value of ab.

Find the distance between the points (3, 4) and (-1, -2).

Solve the equation 3x – 7 = 5x + 13.

Simplify: [(2a + 3b)2 – (2a – 3b)2].

Find the perimeter of the rectangle whose length is 16 cm and breadth is 8 cm.

Find the sum of first 20 natural numbers.

If the radius of a circle is increased by 50%, find the percentage increase in its area.

Section B – Short Answer Type Questions 8. If two circles touch each other internally, the distance between their centers is equal to the difference of their radii. Prove it. 9. Find the roots of the quadratic equation x2 + 5x + 6 = 0. 10. In what ratio does the line joining (2, 3) and (3, 5) divide the line segment joining (4, 1) and (6, 3)? 11. If cosecθ = 25/7, find the value of secθ. 12. Find the area of a triangle whose sides are 12 cm, 15 cm, and 18 cm.

Section C – Long Answer Type Questions 13. In a circle with center O, AB is a diameter, and CD is a tangent at point E. If ACD = 30°, find AED. 14. A train covers a distance of 360 km in 5 hours. If the speed of the train is increased by 15 km/h, find the new time taken to cover the same distance. 15. A conical vessel has a radius of 7 cm and height of 24 cm. Find its slant height and volume. 16. The sum of the first three terms of an AP is 16, and their product is 48. Find the first term and the common difference. 17. Construct a triangle ABC in which AB = 8 cm, BC = 6 cm, and ABC = 60°. Construct the circumcircle of the triangle and draw its diameter.

I hope this sample model question paper helps you understand the pattern and types of questions asked in the Bihar Board 10th examination for the year 2020. However, please note that this is not an official model question paper and should only be used as a reference.