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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
Evaluate \( \cos 1^\circ \cdot \cos 2^\circ \cdot \cos 3^\circ \cdots \cos 90^\circ \).
Bihar Board X - 2023
Bihar Board X
Mathematics
Trigonometry
The value of \( \dfrac{\cos 37^\circ}{\sin 53^\circ} + \dfrac{\cot 34^\circ}{\tan 56^\circ} \) is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Trigonometry
Evaluate \(2(\sin 45^\circ - \cos 45^\circ)\).
Bihar Board X - 2023
Bihar Board X
Mathematics
Trigonometry
The value of \( \csc^{2}\theta - \cot^{2}\theta \) is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Trigonometry
If one root of the quadratic equation \(2x^2 + px - 3 = 0\) is \(-3\), then the value of \(p\) will be:
Bihar Board X - 2023
Bihar Board X
Mathematics
Quadratic Equations
For what values of \(k\) are the roots of the quadratic equation \(9x^2 + 3kx + 4 = 0\) real and equal?
Bihar Board X - 2023
Bihar Board X
Mathematics
Quadratic Equations
If \( \alpha, \beta \) are the roots of the equation \( x^2 + 3px + 2p^2 = 0 \) and \( \alpha^2 + \beta^2 = 5 \), then the value of \(p\) is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Quadratic Equations
The roots of the quadratic equation \(a^{2}p^{2}x^{2}-q^{2}=0\) are:
Bihar Board X - 2023
Bihar Board X
Mathematics
Quadratic Equations
The ratio of the sum of the roots and the product of the roots of the quadratic equation \(x^2 - 15x + 50 = 0\) is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Quadratic Equations
If \(-5\) and \(-1\) are the roots of a quadratic equation, then the equation will be:
Bihar Board X - 2023
Bihar Board X
Mathematics
Quadratic Equations
Which of the following is a quadratic equation?
Bihar Board X - 2023
Bihar Board X
Mathematics
Quadratic Equations
If the graphs of two linear equations are coincident lines, then how many solutions do they have?
Bihar Board X - 2023
Bihar Board X
Mathematics
Linear Equations
The graphs of the equations \(2x - y - 3 = 0\) and \(12x + 7y - 5 = 0\) are which type of straight lines?
Bihar Board X - 2023
Bihar Board X
Mathematics
Linear Equations
Which type of straight line will be the graph of \( x - y = 0 \)?
Bihar Board X - 2023
Bihar Board X
Mathematics
Linear Equations
The mid-point of the line segment joining the points \( (-2, 8) \) and \( (-6, -4) \) lies in which quadrant?
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
If \( P(0,0) \), \( Q(8,0) \) and \( R(0,12) \) are the vertices of \( \triangle PQR \), then the area of \( \triangle PQR \) is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
The coordinates of the vertices of a triangle are \( (0,6) \), \( (0,0) \) and \( (8,0) \). Then the perimeter of the triangle is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
The graph of the straight line \( y = 2x - 3 \) passes through which of the following points?
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
The point on the \(x\)-axis which is equidistant from the points \( (-2, 0) \) and \( (6, 0) \) is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
The distance of the point \( (13, 15) \) from the \(y\)-axis is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
The coordinates of the ends of a diameter of a circle are \( (-10, 6) \) and \( (6, -10) \). Then the coordinates of its centre are:
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
The coordinates of the vertices of a triangle are \( (2, 4) \), \( (0, 6) \) and \( (4, -1) \). Then the coordinates of the centroid of the triangle are:
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
The length of the perpendicular from the point \( (13, 19) \) to the \(x\)-axis is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
What is the distance of the point \( (15, 8) \) from the origin?
Bihar Board X - 2023
Bihar Board X
Mathematics
Coordinate Geometry
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