List of top Questions asked in Bihar Board Class X Exam

If from a point \( B \), the length of the perpendicular drawn to the x-axis is 10 and the length of the perpendicular drawn to the y-axis is 5, then the coordinates of the point \( B \) are:

The distance between the points \( (1,-3) \) and \( (4,-6) \) is:

The point on the \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3,2) \) is:

ABCD is a rectangle whose vertices are \( A(0,0) \), \( B(8,0) \), \( C(8,6) \), and \( D(0,6) \). Then one of the diagonals of the rectangle is:

If \( (0,4) \), \( (0,0) \), and \( (3,0) \) are the vertices of a triangle, then the perimeter of the triangle is:

If \( 3x + 4y = 10 \) and \( 2x - 2y = 2 \), then:

The pair of linear equations \( \frac{3}{2}x + \frac{5}{3}y = 7 \) and \( 9x - 10y = 14 \) is:

Which of the following numbers cannot be a probability?

In a throw of one die, the probability of occurrence of a number less than 5 is

What is the 35th term of the A.P. 20, 17, 14, 11, ... ?

How many terms are in the A.P. 3, 8, 13, 18, ..., 93 ?

The sum of the first 30 terms of the A.P. 1, 3, 5, 7, ... is:

The point \( (-2\sqrt{2}, -2) \) lies in which quadrant?

The distance between the points \( (5\cos 0, 0) \) and \( (0, 5\sin 0) \) is:

The mode of 23, 15, 25, 40, 27, 25, 22, 25, 20 is:

The median of a frequency distribution is 40 and mean is 2. Then its mode is:

If the mean of \(x, x + 3, x + 5, x + 7, x + 10\) is 9, then the value of \(x\) is

The minimum value of probability is:

If the probability of occurrence of an event \( A \) is 0.35, then the probability of non-occurrence of \( A \) is:

In tossing of three coins, the number of possible outcomes is:

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

Prove that:
\[ \frac{\sec^3 0}{\sec^2 0 -1} + \frac{\cosec^3 0}{\cosec^2 0 -1} = \sec 0 \cosec 0 ( \sec 0 + \cosec 0 ). \]

A 20 m deep well with a diameter of 7 m is dug, and the soil from digging is evenly spread out to form a platform of 22 m × 14 m. Find the height of the platform.

The angle of elevation of the top of a building from the foot of a tower is \( 30^\circ \), and the angle of elevation of the top of the tower from the foot of the building is \( 60^\circ \). If the tower is 50 m high, find the height of the building.

Construct a triangle with sides 4 cm, 5 cm, and 6 cm and then construct another triangle similar to it whose sides are \( \frac{2}{3} \) of the corresponding sides of the first triangle.