Start learning →

MHT-CET Mathematical Methods — practice questions

Explore 48 free Mathematical Methods questions in MHT-CET Physics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Mathematical Methods with Quill →

Mathematical Methods questions and exercises with answers

Showing questions 1–30 of 48.

Two vectors of the same kind are equal only when they have what?Read the answer and worked solution →A vector giving a particle's location relative to the origin is called what?Read the answer and worked solution →Which pair of vector quantities cannot be added together?Read the answer and worked solution →For any two vectors P and Q, which relation holds?Read the answer and worked solution →Which relation among the unit vectors i, j, k is correct?Read the answer and worked solution →The cross product of the unit vector i with itself equals what?Read the answer and worked solution →Which statement about the vector product of P and Q is right?Read the answer and worked solution →How do P × Q and Q × P compare?Read the answer and worked solution →Does the vector product obey the distributive law over addition?Read the answer and worked solution →The size of P × Q equals the area of which shape?Read the answer and worked solution →The direction of P × Q is found using which rule?Read the answer and worked solution →A body rotates with angular velocity ω. Its linear velocity v at position r is?Read the answer and worked solution →Torque about an axis is expressed as which product?Read the answer and worked solution →Angular momentum L of a particle with position r and momentum p is?Read the answer and worked solution →The magnetic force on charge q moving with velocity v in field B is?Read the answer and worked solution →What is |P × Q| when P and Q are parallel (angle 0)?Read the answer and worked solution →What is |P × Q| when the angle between P and Q is 180 degrees?Read the answer and worked solution →At what angle between P and Q is |P × Q| largest?Read the answer and worked solution →For any vector P, what is the value of P × P?Read the answer and worked solution →Which statement is correct for the unit vectors i, j, k?Read the answer and worked solution →Calculus is the branch of mathematics that studies what?Read the answer and worked solution →Calculus was first developed by which pair of scientists?Read the answer and worked solution →The process of finding a derivative is called what?Read the answer and worked solution →What is the derivative of sin x with respect to x?Read the answer and worked solution →Differentiating cos x with respect to x gives which result?Read the answer and worked solution →Ignoring the constant, the integral of sin x dx is which function?Read the answer and worked solution →Apart from a constant, the integral of e^x dx is what?Read the answer and worked solution →Integration is related to differentiation as which operation?Read the answer and worked solution →If F(x) is the integral of f(x), the definite integral from a to b equals?Read the answer and worked solution →How is a constant K treated when integrating K f(x)?Read the answer and worked solution →

Worked practice questions

Two vectors of the same kind are equal only when they have what?

  1. The same size only
  2. The same direction only
  3. The same starting point
  4. Equal size and direction
Show answer and solution

Correct answer: D. Equal size and direction

Equality of vectors needs both equal size and equal direction, not just one of them.

Open this question →

A vector giving a particle's location relative to the origin is called what?

  1. Equal vector
  2. Null vector
  3. Unit vector
  4. Position vector
Show answer and solution

Correct answer: D. Position vector

The vector drawn from the chosen origin to the particle's point is its position vector.

Open this question →

Which pair of vector quantities cannot be added together?

  1. Two velocities
  2. Two displacements
  3. Two accelerations
  4. Force and velocity
Show answer and solution

Correct answer: D. Force and velocity

Only vectors describing the same physical quantity can be added, and force differs from velocity.

Open this question →

How to practise

  1. Choose a Mathematical Methods question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Physics topics

ElectrostaticsCurrent ElectricityOscillationsElectromagnetic InductionKinetic Theory of GasesMechanical Properties of FluidsAtomsWave Optics