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Quadratic Equations, Class - X

1. What is a first degree equation in one variable called?
  Ans: Linear equation of one variable.

2. What is the highest power of the variable in a first degree equation?
  Ans: 1.

3. Write the general form of a linear equation in x.
  Ans: ax + b = 0, a ≠ 0.

4. What is a second degree equation in one variable called?
  Ans: Quadratic equation of one variable.

5. What is the highest power of the variable in a second degree equation?
  Ans: 2.

6. Write the general form of a quadratic equation in x.
  Ans: ax² + bx + c = 0, a ≠ 0.

7. What is the general form of quadratic equation called?
  Ans: Adfected quadratic equation.

8. What is a quadratic equation of the form ax² + c = 0 (a ≠ 0) called?
  Ans: Pure quadratic equation.

9. Give one example of a pure quadratic equation.
  Ans: x² - 64 = 0.

10. Name three methods to solve a quadratic equation.
   Ans: Factorization method, completing square method, formula method.

 

 

MCQs: Linear and Quadratic Equations

1. A first degree equation in one variable is called a ______.
  A) Quadratic equation    B) Linear equation
  C) Pure equation         D) Cubic equation
  Answer: B

2. What is the highest power of the variable in a first degree equation?
  A) 0    B) 1    C) 2    D) 3
  Answer: B

3. The general form of a linear equation in x is ______ (where a ≠ 0).
  A) ax² + bx + c = 0    B) ax + b = 0
  C) a + b = 0           D) x² + c = 0
  Answer: B

4. A second degree equation in one variable is called a ______.
  A) Linear equation      B) Cubic equation
  C) Quadratic equation   D) Pure equation
  Answer: C

5. What is the highest power of the variable in a second degree equation?
  A) 1    B) 2    C) 3    D) 0
  Answer: B

6. The general form of a quadratic equation in x is ______ (where a ≠ 0).
  A) ax + b = 0           B) ax² + c = 0
  C) ax² + bx + c = 0     D) a + b + c = 0
  Answer: C

7. The general form of quadratic equation (ax² + bx + c = 0) is also called ______.
  A) Pure quadratic equation       B) Adfected quadratic equation
  C) Linear equation               D) Cubic equation
  Answer: B

8. A quadratic equation of the form ax² + c = 0 (a ≠ 0) is called a ______.
  A) Adfected quadratic equation   B) Linear equation
  C) Pure quadratic equation       D) Cubic equation
  Answer: C

9. Which of the following is an example of a pure quadratic equation?
  A) x + 3 = 0        B) x² - 64 = 0
  C) 2x² + 7x + 3 = 0 D) x + y = 5
  Answer: B

10. Which of the following is NOT a method to solve a quadratic equation?
   A) Factorization method    B) Completing square method
   C) Formula method          D) Substitution method
   Answer: D