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Class 10 Maths
Pair Of Linear Equations In Two Variables
Quiz 1
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Graphically, the pair of equations 6x - 3y + 10 = 0
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Intersecting at exactly one point
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Intersecting at two points
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Coincident
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Parallel
Explanation
Parallel
The pair of linear equations x + 2y + 5 = 0 and -3x - 6y + 1 = 0 has
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a unique solution
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exactly two solutions
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infinitely many solutions
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no solutions
Explanation
no solutions
If a pair of linear equations is consistent, then
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parallel
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always coincident
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intersecting or coincident
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always intersecting
Explanation
intersecting or coincident
The pair of equations y = 0 and y = -7 has
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one solution
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two solutions
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infinitely many solutions
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no solution
Explanation
no solution
The pair of equations x = a and y = b graphically represents lines which are
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parallel
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intersecting at (b, a)
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coincident
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intersecting at (a, b)
Explanation
intersecting at (a, b)
For what value of k, for the equations 3x - y + 8 = 0 and 6x - ky = -16 represents coincident lines?
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\(\frac{1}{2}\)
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-\(\frac{1}{2}\)
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2
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-2
Explanation
2
If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is
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-\(\frac{5}{4}\)
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-\(\frac{2}{5}\)
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\(\frac{15}{4}\)
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-\(\frac{3}{2}\)
Explanation
\(\frac{15}{4}\)
The value of c for which the pair of equations cx - y = 2 and 6x - 2y = 3 will have infinitely many solutions is
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3
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-3
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-12
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no value
Explanation
no value
One equation of a pair of dependent linear equation is -5x + 7y =The second equation can be
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10x + 14y + 4 = 0
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-10x - 14y + 4 = 0
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-10x + 14y + 4 = 0
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10x - 14y = -4
Explanation
10x - 14y = -4
A pair of linear equations which has a unique solution x = 2, y = -3 is
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x + y = -1
2x – 3y = -5
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2x + 5y = -11
4x + 10y = -22
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2x – y = 1
3x + 2y = 0
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x – 4y – 14 = 0
5x – y – 13 = 0
Explanation
x – 4y – 14 = 0
5x – y – 13 = 0
If x = a, y = b is the solution of the equation x - y = 2 and x + y = 4, then the value of a and b are respectively
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3 and 5
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5 and 3
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3 and 1
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-1 and -3
Explanation
3 and 1
Aruna has only Rs 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Rs 1 and Rs 2 coins are respectively
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35 and 15
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35 and 20
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15 and 35
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25 and 25
Explanation
25 and 25
The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages of the son and the father, in years, are respectively
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4 and 24
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5 and 30
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6 and 36
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3 and 24
Explanation
6 and 36
If the system of equations 2x + 3y = 7
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a = 2b
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b = 2a
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a + 2b = 0
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2a + b = 0
Explanation
b = 2a
The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. The values of x and y are
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45°, 75°
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50°, 80°
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55°, 85°
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55°, 95°
Explanation
55°, 85°
The pair of linear equations $8x -5y=7$ and $16x-10y=20$ has?
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no solutions
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infinite solutions
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One solution
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two solutions
The pair of linear equations $x -5y=11$ and $3x-15y-33=0$ has
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no solutions
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infinite solutions
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One solution
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two solution
The pair of linear equations $x -3y+3=0$ and $2x=3y+6$ has?
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no solutions
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infinite solutions
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One solution
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two solution
Anil scored 55 marks in Maths test receiving 3 marks for each correct answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks deducted for wrong answer,the anil would have got 70 marks. The number of the questions in the Maths test are ?
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15
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10
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25
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20
Which of these is not correct for the Line $11x-9y+99=0$ ?
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It intersect the x axis at ( -9,0)
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It intersect y axis at ( 0,11)
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Point (1,110/9) Lie on the line
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None of these
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