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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
If \( x \cos \theta = 1 \) and \( \tan \theta = y \), then the value of \( x^2 - y^2 \) is
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometric Identities
If \( \tan \theta = \frac{3}{4} \), then \( \sin \theta \) is
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometric Identities
In \( \triangle ABC \), \( \angle C = 90^\circ \), then \( \sin(A + B) = \)
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometry
sec\(^2 23^\circ\) - tan\(^2 23^\circ\) + 2 =
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometric Identities
If \( \sqrt{\frac{1 + \cos A}{1 - \cos A}} \) is, then the correct option is:
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometry
If \( \sin(20^\circ + \theta) = \cos 30^\circ \), then the value of \( \theta \) is
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometry
If two tangents drawn on a circle of radius 3 cm are inclined to each other at an angle of \( 60^\circ \), then the length of each tangent is
Bihar Board X - 2024
Bihar Board X
Mathematics
Mensuration
From an external point \( P \), two tangents \( PA \) and \( PB \) are drawn to a circle. If \( PA = 6 \, \text{cm} \), then \( PB = \)
Bihar Board X - 2024
Bihar Board X
Mathematics
Mensuration
If two circles touch each other externally, then what is the number of common tangents?
Bihar Board X - 2024
Bihar Board X
Mathematics
Circles
The distance covered by a wheel of radius 14 cm in 5 revolutions is
Bihar Board X - 2024
Bihar Board X
Mathematics
Circles
The area of a circle is \(49\pi\) square cm. Then its diameter is
Bihar Board X - 2024
Bihar Board X
Mathematics
Circles
The ratio of the areas of two circles is \( x^2 : y^2 \). Then the ratio of their radii is
Bihar Board X - 2024
Bihar Board X
Mathematics
Circles
The distance between two parallel tangents of a circle is 10 cm. Then the radius of the circle is
Bihar Board X - 2024
Bihar Board X
Mathematics
Mensuration
If the area of a circle is equal to the area of a square, then the ratio of their perimeters is
Bihar Board X - 2024
Bihar Board X
Mathematics
Mensuration
tan 5° · tan 25° · tan 30° · tan 65° · tan 85° =
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometric Identities
cos 38° · cos 52° - sin 38° · sin 52° =
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometric Identities
\[ \frac{\text{cosec} 42^\circ}{\sec 48^\circ} \times \frac{\cos 37^\circ}{\sin 53^\circ} = \]
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometric Identities
\( \sqrt{2} \left( \sin \frac{\pi}{4} + \cos \frac{\pi}{4} \right) =\)
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometric Identities
If \( a \cos \theta + b \sin \theta = 4 \) and \( a \sin \theta - b \cos \theta = 3 \), then the value of \( a^2 + b^2 \) is
Bihar Board X - 2024
Bihar Board X
Mathematics
Trigonometric Identities
The H.C.F. of two consecutive odd numbers is
Bihar Board X - 2024
Bihar Board X
Mathematics
Real Numbers
The simplest form of \( 0.\overline{3} + 0.\overline{4} \) is
Bihar Board X - 2024
Bihar Board X
Mathematics
Real Numbers
If \( 156 = 2^x \times 3^y \times 13^z \), then \( x + y + z = ? \)
Bihar Board X - 2024
Bihar Board X
Mathematics
Real Numbers
\( \sqrt{10} \times \sqrt{15} \) is
Bihar Board X - 2024
Bihar Board X
Mathematics
Real Numbers
In the form of \( \frac{p}{2^n \times 5^m} \), \( 0.105 \) can be written as
Bihar Board X - 2024
Bihar Board X
Mathematics
Real Numbers
If H.C.F. of two numbers = 25 and L.C.M = 50, then the product of the numbers will be
Bihar Board X - 2024
Bihar Board X
Mathematics
Real Numbers
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