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

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Write the equation for this statement.
Divide \(x^3 + 1\) by \(x + 1\).
If the radius of base of a cone is 7 cm and its height is 24 cm then find its curved surface area.
In a triangle PQR, two points S and T are on the sides PQ and PR respectively such that \(\frac{PS}{SQ} = \frac{PT}{TR}\) and \(\angle PST = \angle PRQ\), then prove that \(\triangle PQR\) is an isosceles triangle.
If \(\sin 3A = \cos(A - 26^\circ)\), where 3A is an acute angle, then find the value of A.
Prove that \(\sqrt{\frac{1+\cos\theta}{1-\cos\theta}} = \frac{1+\cos\theta}{\sin\theta}\)
Sides AB and BC and median AD of a \(\triangle ABC\) are respectively proportional to sides PQ and QR and median PM of another \(\triangle PQR\). Then prove that \(\triangle ABC \sim \triangle PQR\).
\(\triangle ABC\) and \(\triangle DEF\) are similar and their areas are 9 cm\(^2\) and 64 cm\(^2\) respectively. If DE = 5.1 cm then find AB.
Prove that \(\tan 9^\circ \cdot \tan 27^\circ = \cot 63^\circ \cdot \cot 81^\circ\).
If \(\tan\theta = \frac{5}{12}\), then find the value of \(\sin\theta + \cos\theta\).
The sum of two numbers is 50 and one number is \(\frac{7}{3}\) times of the other; then find the numbers.
If \(\cos A = \frac{4}{5}\), then find the values of \(\cot A\) and \(\csc A\).
If \(x = a \cos \theta\) and \(y = b \sin \theta\) then \(b^2x^2 + a^2y^2 =\)
The ratio of the circumferences of two circles is 5:7; then the ratio of their radii is
E is a point on side CB produced of an isosceles \(\triangle ABC\) with AB = AC. If AD \(\perp\) BC and EF \(\perp\) AC, prove that \(\triangle ABD \sim \triangle ECF\).
The angle of elevation of the top of a tower at a distance of 10 m from its base is 60\(^\circ\); then the height of the tower is
A kite is at a height of 30 m from the earth and its string makes an angle 60\(^\circ\) with the earth. Then the length of the string is
\(7 \sec^2 A - 7 \tan^2 A =\)
The area of the sector of a circle of radius 42 cm and central angle 30\(^\circ\) is
If one zero of the quadratic polynomial \((k-1)x^2 + kx + 1\) is -4 then the value of k is
If PA and PB are the tangents drawn from an external point P to a circle with centre at O and \(\angle APB = 80^\circ\) then \(\angle POA = \)
From an external point P, two tangents PA and PB are drawn on a circle. If PA = 8 cm then PB =
The ratio of the radii of two circles is 3:4, then the ratio of their areas is
What is the angle between the tangent drawn at any point of a circle and the radius passing through the point of contact?
The zeroes of the polynomial \(2x^2 - 4x - 6\) are