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Bihar Board Class X Exam
List of top Questions asked in Bihar Board Class X Exam
In the form \( \frac{p}{q} \) of 0.375, the form of \( q \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Real Numbers
If the product of the roots of the quadratic equation \( x^2 - 5x + p = 10 \) is -4, then the value of \( p \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If \( (x - 2) \) is a factor of \( px^2 - x - 6 \), then the value of \( p \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Polynomials
What is the nature of the roots of the quadratic equation \( \frac{4}{3}x^2 - 2x + \frac{3}{4} = 0 \)?
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If one root of the quadratic equation \( y^2 + 3y - 18 = 0 \) is -6, then its other root is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
The roots of the quadratic equation \( ax^2 - bx - c = 0 \) are:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If \( x = 2 \) is a common root of the equations \( 2x^2 + 2x + p = 0 \) and \( qx + qx + 18 = 0 \), then the value of \( (q - p) \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If \( A, B, C \) are angles of a triangle \( ABC \), then the value of \( \csc \left(\frac{A+B}{2}\right) \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometry
If the radius of a circle becomes \( k \) times, then the ratio of the areas of previous and new circles is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Mensuration
What is the total perimeter of a semicircle whose radius is \( k \)?
Bihar Board X - 2024
Bihar Board X
Mathematics
Mensuration
The distance covered by a wheel of diameter 42 cm in 2 revolutions is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Mensuration
A, B, C and D are four points on the circumference of a circle of radius 8 cm such that ABCD is a square. Then the area of square ABCD is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Mensuration
Which of the following is a quadratic equation?
Bihar Board X - 2024
Bihar Board X
Mathematics
Quadratic Equations
If the 7th term of an A.P. is 4 and its common difference is -4, then what is its first term?
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
If the sum of first \( n \) terms of an A.P. is \( 4n^2 + 2n \), then the common difference of A.P. is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
What is the reciprocal of \( \sin \theta \times \cot \theta \)?
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometry
\( \cot 12^\circ \times \cot 38^\circ \times \cot 52^\circ \times \cot 60^\circ \times \cot 78^\circ = \)?
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometry
Evaluate \( \csc(90^\circ - \theta) \cdot \cos(90^\circ - \theta) \):
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometry
If \( \sin \theta = \sqrt{2} \cos \theta \), then the value of \( \sec \theta \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometry
Evaluate \( 3 \tan^2 60^\circ \):
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometry
The graphs of the equations \( 2x + 3y + 15 = 0 \) and \( 3x - 2y - 12 = 0 \) are:
Bihar Board X - 2024
Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
The system of equations \( 2x - 3y = 5 \) and \( 4x - 6y = 7 \) has:
Bihar Board X - 2024
Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
If the lines \( 4x + py = 16 \) and \( 2x + 9y = 15 \) are parallel, then the value of \( p \) is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Pair of Linear Equations in Two Variables
If \( (2x - 1), 7, 3x \) are in A.P., then what is the value of \( x \)?
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
If \( a_n \) is an arithmetic sequence \( 5, 12, 19, ... \), then what is the value of \( a_{40} - a_{35} \)?
Bihar Board X - 2024
Bihar Board X
Mathematics
Arithmetic Progression
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