Chap-3 MCQs - AMU/JMI XI-Dip.Engg. Entrance Test

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Chapter 3 : Pair of Linear Equations in Two Variables  Answers
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. Linear equation in two variables has

a)      No solution

b)      Unique solution

c)      Two solutions

d)     Infinite solutions

2. An equation is not effected when

a)      The same number is added to (or subtracted from) both the sides of the equation.

b)      Multiplied or divided both the sides of the equation by the same non-zero number.

c)      Both a & b

d)     None

3. Which of the following is equation in two variables?

a)      2x+3y+1 =0

b)      3x²+3y+1 =0

c)      x²+y²=1

d)     all of the above

4. Which of the following is linear equation in two variables?

a)      x+3y+1 =0

b)      3x²+y+1 =0

c)      2x²+y²=1

d)     all of the above

5. Which of the following equation can be considered as linear equation in two variables?

a)      x+3y+1 =0

b)      3x+ 1 =0

c)      y=1

d)     all of the above

6. The cost of two pen and one note book is Rs.45.let x and y represent the price of pen and note book be x and y respectively. The linear equation representing the statement is 

a)      2x+y-45 =0

b)      x+2y =45

c)      x + y – 45 = 0

d)     x + y = 45/2

7. Which of following is the solution of the equation 2x-y = 10?

a)      x = 0 & y = -10

b)      x = 1 & y = -8

c)      x = 5 & y = 0

d)     all of the above

8. (1, 2) is the solution of the equation

a)      2x+y-3=0

b)      2y+x-3=0

c)      x + y -3=0

d)     x+y+3=0

9. Which of the following is the solution of the equation 2y+1=0

a)      (0, -1/2)

b)      (-1, -1/2)

c)      (1, -1/2)

d)     All of the above

10. Find the value of k for which x=1 and y=1 is the solution of the equation 3x-ky = 10

a)      k =7

b)      k = -7

c)      k = 1

d)     k = -1

11. The figure obtained by joining the solutions of the linear equation in two variables gives

a)      Straight line

b)      Parabola

c)      Ellipse

d)     Circle

12. The degree of each variable in linear equation in two variables is

a)      0

b)      1

c)      2

d)     4 

13. Choose the correct option

a)      The graph of a linear equation in two variables is straight line.

b)      Every straight line can be represented by an equation in two variable

c)      A linear equation in two variables has infinitely many solutions

d)     All of the above

14. Choose the incorrect option

a)      Every point whose coordinates satisfy equation lies on its graph

b)      It is necessary that the point which is solution of the equation must lie on its graph.

c)      If the (p , q) is the solution of ax+by+c =0, aq + bp +c = 0

d)     If the (p , q) is the solution of ax+by+c =0, then ap + bq + c=0

15. How many minimum numbers of points corresponding to the solution of the linear equations in two variables are required to join to get the graph of equation?

a)      1

b)      2

c)      3

d)     Infinite

16. The polynomial equation ax+by+c=0 is called as linear equation as its geometrical representation is 

a)      a point

b)      a straight line

c)      a parabola

d)     circle

17. For how many linear equations in two variables, the point (2, 5) can be the solution.

a)      1

b)      2

c)      3

d)     Infinite

18. for how much linear equation in two variables, the points (2, 5) & (4, 3) can be the solutions.

a)      1

b)      2

c)      3

d)     Infinite

19. The line representing the equation ax+by+c=0 intersect x axis at point 

a)      (0, 0)

b)      (-c/b ,0)

c)      (-c/a, 0)

d)     (0, -b/a)

20. The line representing the equation ax+by+c=0 intersect y axis at point 

a)      (0, 0)

b)      (-c/b, 0)

c)      (0, -c/b)

d)     (0, -b/a)

21. The line representing the equation ax+by+c =0 passes through the point (0, 0) if 

a)      a = 0

b)      b = 0

c)      c = 0

d)     a = 0 & c=0

22. The line representing the equation ax+by+c =0 would be parallel to x-axis if  

a)      a = 0

b)      b = 0

c)      c = 0

d)     a = 0 & c=0

23. The line representing the equation ax+by+c =0 would be parallel to y-axis if  

a)      a = 0

b)      b = 0

c)      c = 0

d)     a = 0 & c=0 

24. The line representing the equation ax+by+c =0 would be x-axis  

a)      a = 0

b)      b = 0

c)      b = 0 & c=0

d)     a = 0 & c=0

25. The line representing the equation ax+by+c =0 would be y-axis  

a)      a = 0

b)      b = 0

c)      b = 0 & c = 0

d)     a = 0 & c = 0

Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15

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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15# Students are welcome to discuss online, the above mention MCQs.
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