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questions
List of practice Questions
Which of the following is not a quadratic equation?
Bihar Board X - 2025
Bihar Board X
Mathematics
Quadratic Equations
The discriminant of the quadratic equation \(2x^2 - 7x + 6 = 0\) is
Bihar Board X - 2025
Bihar Board X
Mathematics
Quadratic Equations
Which of the following points lies on the graph of x = 2 ?
Bihar Board X - 2025
Bihar Board X
Mathematics
Coordinate Geometry
If P + 1, 2P + 1, 4P - 1 are in A.P. then the value of P is
Bihar Board X - 2025
Bihar Board X
Mathematics
Arithmetic Progression
The common difference of arithmetic progression 1, 5, 9, ... is
Bihar Board X - 2025
Bihar Board X
Mathematics
Arithmetic Progression
Which term of the A.P. 5, 8, 11, 14, ... is 38 ?
Bihar Board X - 2025
Bihar Board X
Mathematics
Arithmetic Progression
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 \(\cos \theta + \cos^2 \theta = 1\) 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
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 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
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
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
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 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
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 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
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
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
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
\(\triangle ABC\) 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
The number of common tangents of two intersecting circles is
Bihar Board X - 2025
Bihar Board X
Mathematics
Tangent to a Circle
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
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