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Punjab (PTB) · Quarter book test · Free

10th Class Mathematics 1st Quarter Book Paper

40 marks · 1 hour · 28 questions. Covers: UNIT 1: COMPLEX NUMBERS, UNIT 2: QUADRATIC EQUATIONS AND INEQUALITIES, UNIT 3: MATRICES AND DETERMINANTS.

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10th Class Mathematics 1st Quarter Book Paper

10th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 40Time: 1 hour

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

  1. A quadratic equation is a polynomial equation of degree:

    1. One

    2. Two

    3. Three

    4. Zero

  2. What is the type of the matrix :

    1. Row

    2. Scalar

    3. Null

    4. Rectangular

  3. The additive inverse of  is:

    1. (-2+7i)

  4. For object moving in a straight line S=......:

    1. 2as

  5. Which of these is a  matrix?

    1. [1 2]

  6. Conjugant of  is:

  7. The zero product property states that a,b  R and ab=0 than:

    1. Boh a and b must be zero

    2. Either a=0 or b=0

    3. a must be equal to b

    4. a+b must be zero

  8. Which of the following is a singular matrix?

  9. If y=0 the complex number is said to be:

    1. Real

    2. Imaginary

    3. Even

    4. Prime

  10. To solve the  set the quadratic expression equal to zero to find the:

    1. Square

    2. Cube

    3. Roots

    4. None of these

  11.  is a/an ....... matrix:

    1. Rectangular

    2. Identity

    3. Column

    4. Row

  12. If  then =

    1. 13-7i

    2. 169

    3. 812

    4. 218

Q2. Short questions (Attempt any 8 of 12 · 8 × 2 = 16)

  1. If , then make x the subject of this equation.

  2. Under what condition are two complex number equal?

  3. Find the additive inverse of the following matrix: 

  4. Examine the nature of roots of the following quadratic equation: 

  5. Simplify and write in the form of a+b: 

  6. Is the following matric is diagonal, scalar or unit matrice. 

  7. Find the points of intersection of the following linear equation with coordinate axes graphically: 

  8. If  and , then verify that: 

  9. Is the following matric is unit matric, row matrices, column matrices or null matrices. 

  10. Solve the following quadratic equation by factorization method: 

  11. Simplify: 

  12. If  and  then find the following: 4X - Z

Q3. Long questions (Attempt any 3 of 4 · 3 × 4 = 12)

  1. Find two numbers by using matrices such that twice the first added to the second makes 21 and twice the second added to the first makes 27.

  2. If  are the roots of the equation , then find the equation whose roots are: 

  3. Solve the given simultaneous linear equations with complex coefficients for z and w: 

  4. Use Cramer's rule to solve the following pair of linear equation, if possible: