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

If O(0, 0) be the origin and co-ordinates of the point P be (x, y) then the distance OP is
The distance of the point (12, 14) from the y-axis is
\(\sin^2 90^\circ - \tan^2 45^\circ = \)
\(\tan 30^\circ = \)
The distance between the points (8 sin 60°, 0) and (0, 8 cos 60°) is
\(\cos 60^\circ = \)
Which of the following values is equal to 1 ?
\(\cos^2 A (1 + \tan^2 A) = \)
Which of the following is in an A.P. ?
The sum of first 20 terms of the A.P. 1, 4, 7, 10, ... is
Which of the following is not in an A.P. ?
The sum of an A.P. with n terms is \(n^2 + 2n + 1\) then its 6th term is
If 5th term of an A.P. is 11 and common difference is 2 then what is its first term ?
If \( p(x) = x^4 - 5x + 6 \) and \( q(x) = 2 - x^2 \), then the degree of \( \frac{p(x)}{q(x)} \) is:
If \( \tan(\alpha + \beta) = \sqrt{3} \) and \( \tan \alpha = \frac{1}{\sqrt{3}} \), then the value of \( \tan \beta \) is:
Evaluate \( \frac{\sec(90^\circ - \theta) \csc\theta - \tan(90^\circ - \theta) \cot\theta + \cos^2 25^\circ + \cos^2 65^\circ}{3\tan 27^\circ \tan 63^\circ} \).
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:
If \( p(y) = (y+1)(y^3+2)(y^4+6) \) and \( g(y) = y^2 - 3y +1 \), then the degree of \( \frac{p(y)}{g(y)} \) is:

Which of the following is not an A.P.?

If \( \tan(\alpha + \beta) = \sqrt{3} \) and \( \tan \alpha = \frac{1}{\sqrt{3}} \), then the value of \( \tan \beta \) is
If \( p(x) = x^4 - 5x + 6 \) and \( q(x) = 2 - x^2 \), then the degree of \( \frac{p(x)}{q(x)} \) is:
If \( p(y) = (y + 1)(y^3 + 2)(y^4 + 6) \) and \( g(y) = y^2 - 3y + 1 \), then the degree of \( \frac{p(y)}{g(y)} \) is:
If the ratio of areas of two equilateral triangles is 9:4, then the ratio of their perimeters is:
In \( \triangle ABC \), \( AD \) is the bisector of \( \angle BAC \). If \( AB = 4 \, \text{cm} \), \( AC = 6 \, \text{cm} \), and \( BD = 2 \, \text{cm} \), then the value of \( DC \) is:
In triangle \( ABC \), \( DE \parallel BC \) such that
\[ \frac{AD}{DB} = \frac{4}{x - 4} \quad \text{and} \quad \frac{AE}{EC} = \frac{8}{3x - 19}, \] then the value of \( x \) is: