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Pair of Linear Equations in Two variables Maths - Pair of Linear Equations in Two variables

CBSE - STD 10 - Maths (CBSE - English Medium). 73 questions in this chapter.

Question types

Pair of Linear Equations in Two variables question types

73 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

73
Questions
5
Question groups
5
Question types
Sample Questions

Pair of Linear Equations in Two variables questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 3M.C.Q (1 Marks)1 Mark
Which of the following is not a solution of the pair of equations $3 x-2 y=4$ and $6 x-4 y=8$ ?
  • A
    $x=2, y=1$
  • B
    $x=4, y=4$
  • C
    $x=6, y=7$
  • ✓
    $x=5, y=3$

Answer: D.

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Q 4M.C.Q (1 Marks)1 Mark
Two lines are given to be parallel. The equation of one of the lines is $3 x-2 y=5$. The equation of the second line can be
  • A
    $9 x+8 y=7$
  • B
    $-12 x-8 y=7$
  • ✓
    $-12 x+8 y=7$
  • D
    $12 x+8 y=7$

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark
The values of $x$ and $y$ satisfying the two equations $32 x+33 y=34,33 x+32 y=31$ respectively are :
  • ✓
    $-1,2$
  • B
    $-1,4$
  • C
    $1,-2$
  • D
    $-1,-4$

Answer: A.

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Q 61 Marks Question1 Mark
Find whether the lines representing the following pair of linear equation intersect at a point, are parallel or coincident : $\frac{3}{2} x+\frac{5}{3} y=7$ and $\frac{3}{2} x+\frac{2}{3} y=6$
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Q 72 Marks Questions2 Marks
Seema can row downstream $20 \ km$ in $2$ hours and upstream $4 \ km$ in $2$ hours. Find her speed of rowing in still water and the speed of the current.
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Q 153 Marks Question3 Marks
Determine graphically whether the following pair of linear equations
$2 x-3 y=8$
$4 x-6 y=16$ has
$(i)$ A unique solution
$(ii)$ Infinitely many solutions
$(iii)$ No solution
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Q 185 Marks Questions5 Marks
The sum of the digits of two digits number is 9. Also 9 times the number is twice the number obtain by reversing the order of digits. Find the numbers.
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Q 195 Marks Questions5 Marks
The ratio of income of two persons is $9: 7$ and the ratio of their expenditure is $4: 3$ if each of them manages to save Rs. 2000/month. Find their monthly incomes.
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Q 205 Marks Questions5 Marks
Speed of a boat in still water is $15 km / h$. It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes. Find the speed of the stream.
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