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Linear Equations in Two Variables

Maths CBSE

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

The number of common solutions for the system of linear equations 5x + 4y + 6 = 0 and 10x + 8y = 12 is

  1. 0
  2. 1
  3. 2
  4. 3
  5. Infinite
Question 2 Multiple Choice (Single Answer)

A pair of linear equations in two variables x + y + 1 = 0 and 2x – 3y + 5 = 0 has

  1. a unique solution
  2. two solutions
  3. three solutions
  4. infinitely many solutions
  5. no solution
Question 3 Multiple Choice (Single Answer)

If the lines given by linear equations 3x + 2ky - 2 = 0 and 2x + 5y + 1 = 0 are parallel, then the value of k is

  1. - 5/2
  2. - 5/4
  3. 2/5
  4. 15/4
  5. 3/2
Question 4 Multiple Choice (Single Answer)

The common solution of the linear equations 45x - 23y = 113 and 23x - 45y = 91 is

  1. (2, - 1)
  2. (2, 1)
  3. (1, 2)
  4. (2, 2)
  5. (2, - 2)
Question 5 Multiple Choice (Single Answer)

For which of the following values of k are the linear equations 3x - 4y - 5 = 0 and 9x - 12y - k = 0 consistent?

  1. 6
  2. 9
  3. 12
  4. 15
  5. 18
Question 6 Multiple Choice (Single Answer)

A father’s age is six times his son’s age. Twenty years hence, the father will be twice his son’s age. The respective present ages (in years) of the son and the father are

  1. 4 and 24
  2. 5 and 30
  3. 6 and 36
  4. 7 and 42
  5. 8 and 48
Question 7 Multiple Choice (Single Answer)

One angle of a triangle measures 30o and the difference between the remaining two angles is 40 degree. The values of the angles are

  1. 85, 45
  2. 90, 50
  3. 95, 55
  4. 100, 60
  5. 105, 65
Question 8 Multiple Choice (Single Answer)

The common solution of linear equations x = - 2 and y = 3 is

  1. (- 2, 0)
  2. (0, 3)
  3. (3, - 2)
  4. (- 2, 3)
  5. (3, 0)
Question 9 Multiple Choice (Single Answer)

The pair of linear equations x = 4 and x = 6 gives

  1. no solution
  2. one solution
  3. two solutions
  4. three solutions
  5. infinitely many solutions
Question 10 Multiple Choice (Single Answer)

In a competitive examination, two marks are awarded for each right answer and one mark is deducted for every wrong answer. If a candidate attempted 120 questions and got 180 marks, the number of questions answered correctly is

  1. 90
  2. 95
  3. 100
  4. 105
  5. 110
Question 11 Multiple Choice (Single Answer)

The sum of ages of A and B 10 years ago was 45 years. The sum of ages of A and B 10 years hence will be

  1. 55
  2. 65
  3. 75
  4. 85
  5. 95
Question 12 Multiple Choice (Single Answer)

The sum of heights of A and B is 320 cm and the difference of their heights is 20 cm. The height of B can be

  1. 140 cm
  2. 145 cm
  3. 150 cm
  4. 155 cm
  5. 160 cm
Question 13 Multiple Choice (Single Answer)

If 99x + 101y = 400 and 101x + 99y = 600, then the value of x + y is

  1. 4
  2. 5
  3. 6
  4. 8
  5. 10
Question 14 Multiple Choice (Single Answer)

The pair of linear equations x - 3y - 2 = 0 and 2x - 6y - 5 = 0 has

  1. a unique solution
  2. no solution
  3. two solutions
  4. three solutions
  5. infinitely many solutions
Question 15 Multiple Choice (Single Answer)

The linear equation 2x + 3y - 5 = 0 has

  1. no solution
  2. exactly one solution
  3. two solutions
  4. three solutions
  5. infinitely many solutions
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