List of top Questions asked in Bihar Board X - 2024

If in \( \triangle ABC \), \( \angle C = 90^\circ \), then \( \sin(A + B) \) is:
If \( \tan \theta = \frac{3}{4} \), then \( \sin \theta \) is:
If an equilateral triangle \( \triangle ABC \) has one side of 12 cm, and another equilateral triangle \( \triangle DEF \) has one side of 6 cm, then what is the ratio of their areas?
In \( \triangle ABC \) and \( \triangle PQR \), which are similar triangles, \( AD \) is perpendicular to \( BC \) and \( PT \) is perpendicular to \( QR \). If \( AD = 9 \) cm and \( PT = 7 \) cm, then the ratio of the areas of triangles \( ABC \) and \( PQR \) is:
If one side of an equilateral triangle is 12 cm, then its height is:
The distance between two parallel tangents of a circle is 10 cm. Then the radius of the circle is:
If two circles touch each other externally, then what is the number of common tangents?
From an external point \( P \), two tangents \( PA \) and \( PB \) are drawn to a circle. If \( PA = 6 \) cm, then \( PB \) is:
If in \( \triangle ABC \), \( AD \) is the bisector of \( \angle BAC \) and \( AB = 10 \) cm, \( AC = 14 \) cm, \( BC = 6 \) cm, then the value of \( DC \) is:
In \( \triangle ABC \), \( DE \parallel BC \) such that \( \frac{AD}{DB} = \frac{3}{5} \). If \( AC = 5.6 \) cm, then \( AE \) is:
If the ratio of corresponding sides of two similar triangles is \( 5:6 \), then the ratio of their perimeters is:
In \( \triangle ABC \), \( AB = 6\sqrt{3} \) cm, \( AC = 12 \) cm, and \( BC = 6 \) cm, then \( \angle B \) is:
If three points are collinear then what is the area of the triangle formed by them?
If \( A(-1,0) \), \( B(5,-2) \), and \( C(8,2) \) are the vertices of a triangle \( \triangle ABC \), then the coordinates of its centroid are:
If \( P \left( \frac{a}{2}, 4 \right) \) is the midpoint of the line segment joining the points \( A(-6,5) \) and \( B(-2,3) \), then the value of \( a \) is:
What is the difference between dam and embankment?
Give a brief account of the characteristics of alluvial soil.
Define satellite communication.
Write two measures to reduce the effects of earthquake.
Why is disaster management needed?
Mention the problems related to the development of canals in Bihar.
Describe the methods of rainwater harvesting and recycling.
Nuclear power is obtained from which minerals?
What is the utility of manganese?
Name two coal fields of Jharkhand.