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Bihar Board Class X Exam
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Mathematics
List of top Mathematics Questions asked in Bihar Board Class X Exam
If \(\alpha\) and \(\beta\) be the zeros of the polynomial \(cx^2 + ax + b\) then the value of \(\alpha . \beta\) is
Bihar Board X - 2025
Bihar Board X
Mathematics
Polynomials
If the curved surface area of a hemisphere is 1232 cm\(^2\) then its radius is
Bihar Board X - 2025
Bihar Board X
Mathematics
Surface Areas and Volumes
If one of the zeros of the polynomial p(x) is 2 then which of the following is a factor of p(x)?
Bihar Board X - 2025
Bihar Board X
Mathematics
Polynomials
For what value of k, roots of the quadratic equation \(kx^2 - 6x + 1 = 0\) are real and equal?
Bihar Board X - 2025
Bihar Board X
Mathematics
Quadratic Equations
If \(\cos \theta + \cos^2 \theta = 1\) then the value of \(\sin^2 \theta + \sin^4 \theta\) is
Bihar Board X - 2025
Bihar Board X
Mathematics
Trigonometry
\(\frac{1 + \tan^2 A}{1 + \cot^2 A} = \)
Bihar Board X - 2025
Bihar Board X
Mathematics
Trigonometry
What is the total surface area of a hemisphere of radius R?
Bihar Board X - 2025
Bihar Board X
Mathematics
Surface Areas and Volumes
If the curved surface area of a cone is 880 cm\(^2\) and its radius is 14 cm, then its slant height is
Bihar Board X - 2025
Bihar Board X
Mathematics
Surface Areas and Volumes
If the edge of a cube is doubled then the total surface area will become how many times of the previous total surface area?
Bihar Board X - 2025
Bihar Board X
Mathematics
Surface Areas and Volumes
The ratio of the radii of two cylinders is 4 : 5 and the ratio of their heights is 6 : 7, then the ratio of their volumes is
Bihar Board X - 2025
Bihar Board X
Mathematics
Surface Areas and Volumes
If the length of the diagonal of a cube is \(2\sqrt{3}\) cm, then the length of its edge is
Bihar Board X - 2025
Bihar Board X
Mathematics
Surface Areas and Volumes
The ratio of the total surface area of a sphere and that of a hemisphere having the same radius is
Bihar Board X - 2025
Bihar Board X
Mathematics
Surface Areas and Volumes
In \(\triangle DEF\) and \(\triangle PQR\) it is given that \(\angle D = \angle Q\) and \(\angle R = \angle E\), then which of the following is correct?
Bihar Board X - 2025
Bihar Board X
Mathematics
Triangles
The ratio of the volumes of two spheres is 64 : 125. Then the ratio of their surface areas is
Bihar Board X - 2025
Bihar Board X
Mathematics
Surface Areas and Volumes
In any \(\triangle ABC\), \(\angle A = 90^\circ\), BC = 13 cm, AB = 12 cm; then the value of AC is
Bihar Board X - 2025
Bihar Board X
Mathematics
Triangles
The corresponding sides of two similar triangles are in the ratio 4 : 9. What will be the ratio of the areas of the triangles?
Bihar Board X - 2025
Bihar Board X
Mathematics
Similarity of Triangles
\(\triangle ABC \sim \triangle DEF\) and BC = 3 cm, EF = 4 cm. If the area of \(\triangle ABC\) is 54 cm\(^2\), then the area of \(\triangle DEF\) is
Bihar Board X - 2025
Bihar Board X
Mathematics
Similarity of Triangles
The number of common tangents of two intersecting circles is
Bihar Board X - 2025
Bihar Board X
Mathematics
Tangent to a Circle
\(\triangle ABC\) and \(\triangle DEF\) are such that \(\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{DF}\) and \(\angle A = 40^\circ\), \(\angle B = 80^\circ\); then the measure of \(\angle F\) is
Bihar Board X - 2025
Bihar Board X
Mathematics
Similarity of Triangles
A line which intersects a circle in two distinct points is called
Bihar Board X - 2025
Bihar Board X
Mathematics
Circles, Chords and Tangents
\(\tan 10^\circ \tan 23^\circ \tan 80^\circ \tan 67^\circ = \)
Bihar Board X - 2025
Bihar Board X
Mathematics
Trigonometry
If one root of the quadratic equation \(2x^2 - x - 6 = 0\) is \(-\frac{3}{2}\) then its another root is
Bihar Board X - 2025
Bihar Board X
Mathematics
Quadratic Equations
What is the nature of the roots of the quadratic equation \(2x^2 - 6x + 3 = 0\) ?
Bihar Board X - 2025
Bihar Board X
Mathematics
Quadratic Equations
If the ratio of areas of two similar triangles is 100 : 144 then the ratio of their corresponding sides is
Bihar Board X - 2025
Bihar Board X
Mathematics
Similarity of Triangles
If A(0, 1), B(0, 5) and C(3, 4) are the vertices of any \(\triangle ABC\), then the area (in square unit) of \(\triangle ABC\) is
Bihar Board X - 2025
Bihar Board X
Mathematics
Coordinate Geometry
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