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Mathematics
List of top Mathematics Questions
\(\triangle ABC \sim \triangle DEF\) 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 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
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
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
\(\triangle ABC\) 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 ratio of the volumes of two spheres is 64 : 125. Then the ratio of their surface areas is
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Bihar Board X
Mathematics
Surface Areas and Volumes
The number of common tangents of two intersecting circles is
Bihar Board X - 2025
Bihar Board X
Mathematics
Tangent to a Circle
A line which intersects a circle in two distinct points is called
Bihar Board X - 2025
Bihar Board X
Mathematics
Circles, Chords and Tangents
If the ratio of areas of two similar triangles is 100 : 144 then the ratio of their corresponding sides is
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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
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Bihar Board X
Mathematics
Coordinate Geometry
If one root of the quadratic equation \(2x^2 - x - 6 = 0\) is \(-\frac{3}{2}\) then its another root is
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Bihar Board X
Mathematics
Quadratic Equations
\(\tan 10^\circ \tan 23^\circ \tan 80^\circ \tan 67^\circ = \)
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Bihar Board X
Mathematics
Trigonometry
What is the nature of the roots of the quadratic equation \(2x^2 - 6x + 3 = 0\) ?
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Bihar Board X
Mathematics
Quadratic Equations
If \(\alpha\) and \(\beta\) are roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) then the value of \(\alpha^2 + \beta^2\) is
Bihar Board X - 2025
Bihar Board X
Mathematics
Quadratic Equations
If the graphs of two linear equations are parallel then the number of solutions will be
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Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
How many solutions will \(x + 2y + 3 = 0\), \(3x + 6y + 9 = 0\) have?
Bihar Board X - 2025
Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
If \(p(x) = x^4 - 2x^3 + 17x^2 - 4x + 30\) is divided by \(q(x) = x + 2\) then the degree of the quotient is
Bihar Board X - 2025
Bihar Board X
Mathematics
Polynomials
The pair of linear equations \(5x - 4y + 8 = 0\) and \(7x + 6y - 9 = 0\) is
Bihar Board X - 2025
Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
If one root of the quadratic equation \(2x^2 - 7x - p = 0\) is 2 then the value of p is
Bihar Board X - 2025
Bihar Board X
Mathematics
Quadratic Equations
If \(\tan 25^\circ \times \tan 65^\circ = \sin A\) then the value of A is
Bihar Board X - 2025
Bihar Board X
Mathematics
Trigonometry
If \(\cos \theta = x\) then \(\tan \theta = \)
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Bihar Board X
Mathematics
Trigonometry
What is the form of a point lying on y-axis ?
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Bihar Board X
Mathematics
Coordinate Geometry
If the sum of zeros of a quadratic polynomial is 3 and their product is -2 then that quadratic polynomial is
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Bihar Board X
Mathematics
Quadratic Polynomials
Which of the following quadratic polynomials has zeroes 3 and -10?
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Bihar Board X
Mathematics
Quadratic Polynomials
\(1 - \cos^4 \theta = \)
Bihar Board X - 2025
Bihar Board X
Mathematics
Trigonometry
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