List of top Mathematics Questions asked in Bihar Board Class X Exam

Evaluate \( \cot 12^\circ \cdot \cot 38^\circ \cdot \cot 52^\circ \cdot \cot 60^\circ \cdot \cot 78^\circ \):
What is the reciprocal of \( \sin \theta \times \cot \theta \)?
The ratio of volumes of two cubes is \( 1 : 64 \). The ratio of their total surface area is:
Two circular cylinders of equal volume have their heights in the ratio \( 1 : 2 \). The ratio of their radii is:
A sphere of radius 8 cm is melted to form a cone of height 32 cm. The radius of the base of the cone is:
If the curved surface area of a cylinder is 1760 cm² and its diameter is 28 cm, then its height is:
If \( l \) is the slant height of a cone and \( r \) is the radius of its base, then the total surface area of the cone is:
The ratio of volumes of two spheres is \( 125 : 27 \). The ratio of their surface areas is:
If \( O \) is the center and \( R \) is the radius of a circle and \( \angle AOB = \theta \), then the length of arc \( AB \) is:
If \( \tan 2A = \cot(A - 18^\circ) \), where \( 2A \) is an acute angle, then the value of \( A \) is:
If \( \sin \theta = \frac{\sqrt{3}}{2} \), \( 0^\circ<\theta<90^\circ \), then \( \tan^2 \theta - 1 = \) ?
Evaluate \( 9 \csc^2 22^\circ - 9 \cot^2 22^\circ + 1 = \):
If \( \sin \theta = \frac{a}{b} \), then the value of \( \cos \theta \) is:
If \( \sec \theta = \frac{13}{12} \), then \( \cot \theta = \):
\( TP \) and \( TQ \) are two tangents drawn from an external point \( T \) to a circle whose center is \( O \) such that \( \angle POQ = 120^\circ \). Then the value of \( \angle OTP \) is:
If the length of any chord of a circle is equal to the radius of the circle, then the angle subtended by the chord at the centre is:
For what value of \( k \), the roots of the quadratic equation \( x^2 + 6x + k = 0 \) are real and equal?
What is the nature of the roots of the quadratic equation \( \frac{4}{3}x^2 - 2x + \frac{3}{4} = 0 \)?
If one root of the quadratic equation \( y^2 + 3y - 18 = 0 \) is -6, then its other root is:
If \( \alpha \) and \( \beta \) are the roots of the quadratic equation \( x^2 - 8x + 5 = 0 \), then the value of \( \alpha^2 + \beta^2 \) is:
The roots of the quadratic equation \( ax^2 - bx - c = 0 \) are:
If \( x = 2 \) is a common root of both the equations \( 2x^2 + 2x + p = 0 \) and \( qx^2 + qx + 18 = 0 \), then the value of \( (q - p) \) is:
The perpendicular distance from the centre of a circle to a chord of length 8 cm is 3 cm. Then the radius of the circle is:
Which of the following is a quadratic equation?
If the product of the roots of the quadratic equation \( x^2 - 5x + p = 10 \), then the value of \( p \) is: