Class 10 Mathematics questions for CBSE

Find the distance between the points (3, 4) and (7, 1).

From a point outside a circle, if the distance to the center is equal to the radius, how many tangents can be drawn?

If a point is at a distance of 10 cm from the center of a circle with a radius of 6 cm, how many tangents can be drawn from that point to the circle?

How many tangents can be drawn from a point outside a circle?

Which of the following represents the identity for tanθ?

What is the value of cos 45 degrees?

Which of the following is a trigonometric identity?

What is the value of sin 30 degrees?

A ladder leans against a wall forming an angle of 30 degrees with the ground. If the base of the ladder is 10 m away from the wall, how high does the ladder reach on the wall?

From a point 50 m away from the base of a tower, the angle of elevation to the top of the tower is 45 degrees. What is the height of the tower?

A man standing 30 m away from a tree wants to find its height. If he measures the angle of elevation to the top of the tree as 60 degrees, what is the height of the tree?

What is the distance between the points (0, 0) and (3, 4) using the distance formula?

Using the section formula, find the coordinates of a point P that divides the line segment joining A(2, 3) and B(4, 5) in the ratio 2:3.

Find the area of a triangle formed by the points A(1, 2), B(4, 6), and C(1, 6).

Calculate the distance between the points A(2, 3) and B(5, 7).

For two triangles to be similar, which of the following conditions must be met?

Triangle ABC is similar to triangle DEF. If the sides of triangle ABC are 6 cm, 8 cm, and 10 cm, what is the smallest side of triangle DEF if its longest side is 15 cm?

Two triangles are similar, with areas in the ratio 4:9. What is the ratio of their corresponding sides?

In an arithmetic progression, if the first term is 7 and the common difference is 2, what is the 15th term?

If the first term of an arithmetic progression is 4 and the common difference is 3, what is the sum of the first 10 terms?