Tata Motors Interview Questions and Answers

Pi is not a rational number.

• A rational number can be expressed as a ratio of two integers, but pi cannot be expressed in this way.

• Pi is an irrational number with an infinite non-repeating decimal expansion.

• Proof of pi's irrationality was first given by Johann Lambert in 1761.

A rational number is a number that can be expressed as a ratio of two integers.

• Rational numbers include fractions and terminating or repeating decimals.

• They can be positive, negative, or zero.

• Examples include 1/2, -3/4, and 0.25.

• Irrational numbers, such as pi and the square root of 2, are not rational.

Yes, I have extensive experience in preparing students for JEE ADVANCE.

• I have a strong background in the subjects covered in JEE ADVANCE such as Physics, Chemistry, and Mathematics.

• I have successfully coached students in the past who have excelled in JEE ADVANCE.

• I am familiar with the exam pattern and syllabus of JEE ADVANCE.

• I use personalized teaching methods to cater to the individual needs of students preparing for JEE ADVANCE.

Vectors on a Cartesian plane are calculated using x and y axes. Magnitude and direction can be determined using trigonometry.

• Cartesian plane has x-axis (horizontal) and y-axis (vertical)

• Vectors are represented by an arrow starting at the origin and ending at a point on the plane

• Magnitude of vector can be calculated using Pythagorean theorem: magnitude = sqrt(x^2 + y^2)

• Direction of vector can be calculated using trigonometry: angle = arctan(y/x)

Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The theorem is named after the ancient Greek mathematician Pythagoras.

• It is often written as a^2 + b^2 = c^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

• It is used in various fields such as engineering, architecture, and physics to calculate distances, angles, and forces.

• For example, i...read more