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Mathematics
List of top Mathematics Questions
Which of the following is a quadratic equation?
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If the product of the roots of the quadratic equation \( x^2 - 5x + p = 10 \), then the value of \( p \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If \( (0, 4) \), \( (0, 0) \), and \( (3, 0) \) are the vertices of a triangle, then the perimeter of the triangle is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Coordinate Geometry
If \( (x - 2) \) is a factor of \( px^2 - x - 6 \), then the value of \( p \) is:
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Bihar Board X
Mathematics
Polynomials
If \( A, B, C, D \) is a rectangle with vertices \( A(0, 0), B(8, 0), C(8, 6), D(0, 6) \), then one of the diagonals of the rectangle is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Coordinate Geometry
The point on the y-axis which is equidistant from the points \( (5, -2) \) and \( (-3, 2) \) is:
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Bihar Board X
Mathematics
Coordinate Geometry
If from a point \( B \), the length of the perpendicular drawn to the x-axis is 10 and the length of the perpendicular drawn to the y-axis is 5, then the coordinates of the point \( B \) are:
Bihar Board X - 2024
Bihar Board X
Mathematics
Coordinate Geometry
The distance between the points \( (1, -3) \) and \( (4, -6) \) is:
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Bihar Board X
Mathematics
Coordinate Geometry
The point \((-2/\sqrt{2}, -2)\) lies in which quadrant?
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Bihar Board X
Mathematics
Coordinate Geometry
How many terms are in A.P. 3, 8, 13, 18, ..., 93?
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Bihar Board X
Mathematics
Arithmetic Progression
The sum of the first 30 terms of the A.P. 1, 3, 5, 7, ... is:
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Bihar Board X
Mathematics
Arithmetic Progression
The distance between the points \((5 \cos \theta, 0)\) and \((0, 5 \sin \theta)\) is:
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Bihar Board X
Mathematics
Coordinate Geometry
The distance between the points \( (2\cos\theta, 0) \) and \( (0, 2\sin\theta) \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Coordinate Geometry
PQRS is a rectangle whose vertices are \( P(0,0) \), \( Q(6,0) \), \( R(6,2) \), and \( S(0,2) \). The area of the rectangle is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Coordinate Geometry
If \( A(a,0) \), \( B(0,0) \), and \( C(0,b) \) are the vertices of \( \triangle ABC \), then the area of \( \triangle ABC \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Coordinate Geometry
The point on the \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3, 2) \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Coordinate Geometry
The intersecting point of the straight lines \( x = -2 \) and \( y = 3 \) is:
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Bihar Board X
Mathematics
Coordinate Geometry
What is the 35th term of the A.P. 20, 17, 14, 11, ...?
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Bihar Board X
Mathematics
Arithmetic Progression
The distance between the points \( (7, -4) \) and \( (-5, 1) \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Coordinate Geometry
The point \( (2\sqrt{7}, -3) \) lies in which quadrant?
Bihar Board X - 2024
Bihar Board X
Mathematics
Coordinate Geometry
If \( \alpha \) and \( \beta \) are the roots of the quadratic equation \( x^2 + 6x + 5 = 0 \), then the value of \( \alpha^2 + \beta^2 \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
The roots of the quadratic equation \( px^2 - qx + r = 0 \), where \( p \neq 0 \), are:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If \( x = -1 \) is a common root of the equations \( 2x^2 + 3x + p = 0 \) and \( qx^2 - qx + 4 = 0 \), then the value of \( p + q \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
What is the 11th term of the A.P. \( 3, -3, -\frac{1}{2}, 2, \dots \)?
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
The number of terms in the A.P. \( 41, 38, 35, \dots, 8 \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
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