PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

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class 10 test

1. Graphically, the pair of equations 6x – 3y + 10 = 0 2x – y + 9 = 0represents two lines which are

1 point

(A) intersecting at exactly one point.

(B) intersecting at exactly two points.

(D) parallel

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2. The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have

1 point

(A) a unique solution

(B) exactly two solutions

(D) no solution

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3. If a pair of linear equations is consistent, then the lines will be

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(A) parallel

(B) always coincident

(D) always intersecting

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4. The pair of equations y = 0 and y = –7 has

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(A) one solution

(B) two solutions

(D) no solution

Clear selection

5. The pair of equations x = a and y = b graphically represents lines which are

1 point

(A) parallel

(B) intersecting at (b, a)

(D) intersecting at (a, b)

Clear selection

6. For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?

1 point

A) 1/2

(B) - 1/2

(D) –2

Clear selection

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

1 point

(A) –5/4

(B) 2/5

(D) 3/2

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8. The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is

1 point

(A) 3

(B) – 3

(D) no value

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9. One equation of a pair of dependent linear equations is –5x + 7y = 2. The second equation can be

1 point

(A) 10x + 14y + 4 = 0

(B) –10x – 14y + 4 = 0

(D) 10x – 14y = –4

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10. A pair of linear equations which has a unique solution x = 2, y = –3 is

1 point

(A) x + y = –1 , 2x – 3y = –5

(B) 2x + 5y = –11 , 4 x + 10y = –22

(D) x – 4y –14 = 0, 5 x – y – 13 = 0

Clear selection

11. If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively

1 point

(A) 3 and 5

(B) 5 and 3

(D) –1 and –3

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12. Aruna has only Re 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 Re 1 and Rs 2 coins are, respectively

1 point

(A) 35 and 15

(B) 35 and 20

(D) 25 and 25

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13. 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, in years, of the son and the father are, respectively.

1 point

(A) 4 and 24

(B) 5 and 30

(D) 3 and 24

Clear selection

14. The angles of a cyclic quadrilateral ABCD are: Then value of x and y are:

1 point

(A) x = 20o and y = 30o

(B) x = 40o and y = 10o

(D) x = 15o and y = 15o

Clear selection

15The pair of equations 5x – 15y = 8 and 3x – 9y =24/5has

1 point

(A) one solution

(B) two solutions

(D) no solution

Clear selection

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