can anyone provide me 20 MCQ with answers from linear equations in 2 variable ? please it is important
Answers
Step-by-step explanation:
1. If a pair of linear equations in two variables is consistent, then the lines represented by two equations are (a) intersecting (b) parallel (c) always coincident (d) intersecting or coincident 2. The sides of a triangle are AB, BC and AC whose equations are respectively y-2 = 0; y = 3x – 7 and 2y + x = 0, The coordinates of points A and B are : (a) A(3,2), B(-4,2) (b) A(-4,2), B(3,2) (c) A(3,2), B(2,-l) (d) A(-4,2), B(2, -1) 3. 10 students of class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys who took part in the quiz. (a) 3 (b) 7 (c) 2 (d) 8 4. 5 pencils and 7 pens together cost Rs. 50 whereas 7 pencils and 5 pens cost Rs. 46. Find the cost of 2 pencils and 3 pens. (a) Rs. 42 (b) Rs. 39 (c) Rs. 21 (d) Rs. 16 5. A linear equation in two variables has: (a) 1 solution (b) 2 solutions (c) no solution (d) infinitely many 6. A pair of linear equations is not consistent if: (a) if has one solution (b) it has many solutions (c) graph intersect or coincide (d) graph is parallel 7. If a pair of linear equations is consistent, then the lines will be: (a) Parallel (b) Always coincident (c) Intersecting or coincident (d) Always intersecting 8. The pair of equations y = 0 and y = –7 has (a) One solution (b) Two solutions (c) Infinitely many solutions (d) No solution 9. 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 (a) 4 and 24 (b) 5 and 30 (c) 6 and 36 (d) 3 and 24 10. Rakshita 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 andRs.2 coins is, respectively (a) 35 and 15 (b) 35 and 20 (c) 15 and 35 (d) 25 and 25 11. The perimeter of a rectangle is 44 cm. Its length exceeds twice its breadth by 4 cm. Find the area of the rectangle. (a) 46 c m 2 cm2 (b) 49 c m 2 cm2 (c) 96 c m 2 cm2 (d) 69 c m 2 cm2 12. For what value of k, will the equations, x + 2y + (11 – k) = 0 and 2x + ky + (10 + k) = 0 represent the coincident lines : (a) k = 12 (b) k = 4 (c) k = 36 (d) k = 2 13. An equation ax + by + c = 0 is a linear equation in 2 variables, where a, b, c are : (a) natural numbers (b) whole numbers (c) integers (d) real numbers 14. The pair of equations y = 9 and y = – 7 has: (a) one solution (b) two solutions (c) infinitely many (d) no solution solutions 15. If the system of equations kx – 5y = 2, 6x + 2y = 7 has no solution, then k = (a) – 10 (b) – 5 (c) – 6 (d) – 15 16. A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Reema paid Rs. 22 for a book kept for six days, while Ruchika paid Rs 16 for the book kept for four days, then the charge for each extra day is: (a) Rs 5 (b) Rs 4 (c) Rs 3 (d) Rs.2 17. The sum of a two digit number is 8. The number obtained by reversing the digits exceeds the number by 18. Then the given number is : (a) 53 (b) 35 (c) 26 (d) 62 18. In a triangle, the sum of two angles is equal to the third angle. If the difference between two angles is 30°, find the angles. (a) 15°, 45°, 75° (b) 20°, 50°, 80° (c) 30°, 60°, 90° (d) 45°, 45°, 90° 19. If x + 5y = 34 and x – 5y = – 6, find the value of 5y – 2x. (a) – 8 (b) 14 (c) 8 (d) 20 20. Two equations in two variables taken together are called (a) linear equations (b) quadratic equations (c) simultaneous equations (d) none of theseRead more on Sarthaks.com - https://www.sarthaks.com/1100725/class-10-maths-mcq-questions-of-pair-of-linear-equations-in-two-variables-with-answers
Answer:
- Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are
(a) intersecting at one point
(b) parallel
(c) intersecting at two points
(d) coincident
Answer
Answer: b
- The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have
(a) a unique solution
(b) infinitely many solutions
(c) no solution
(d) two solutions
Answer
Answer: c
- . If a pair of linear equations is consistent, then the lines will be
(a) always coincident
(b) parallel
(c) always intersecting
(d) intersecting or coincident
Answer
Answer: d
- The pair of equations x = 0 and x = 5 has
(a) no solution
(b) unique/one solution
(c) two solutions
(d) infinitely many solutions
Answer
Answer: c
- The pair of equation x = – 4 and y = – 5 graphically represents lines which are
(a) intersecting at (- 5, – 4)
(b) intersecting at (- 4, – 5)
(c) intersecting at (5, 4)
(d) intersecting at (4, 5)
Answer
Answer: b
- One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be
(a) 2x + 5y = 6
(b) 3x + 5y = 3
(c) -10x – 25y + 15 = 0
(d) 10x + 25y = 15
Answer
Answer: c
- If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
(a) 6, -1
(b) 2, 3
(c) 1, 4
(d) 19/5, 6/5
Answer
Answer: d
- The graph of x = -2 is a line parallel to the
(a) x-axis
(b) y-axis
(c) both x- and y-axis
(d) none of these
Answer
Answer: b
- The graph of y = 4x is a line
(a) parallel to x-axis
(b) parallel to y-axis
(c) perpendicular to y-axis
(d) passing through the origin
Answer
Answer: d
- The graph of y = 5 is a line parallel to the
(a) x-axis
(b) y-axis
(c) both axis
(d) none of these
Answer
Answer: a
- Two equations in two variables taken together are called
(a) linear equations
(b) quadratic equations
(c) simultaneous equations
(d) none of these
Answer
Answer: c
- If am bl then the system of equations ax + by = c, lx + my = n, has
(a) a unique solution
(b) no solution
(c) infinitely many solutions
(d) none of these
Answer
Answer: a
- If in the equation x + 2y = 10, the value of y is 6, then the value of x will be
(a) -2
(b) 2
(c) 4
(d) 5
Answer
Answer: a
- The graph of the equation 2x + 3y = 5 is a
(a) vertical line
(b) straight line
(c) horizontal line
(d) none of these
Answer
Answer: b
- The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is
(a) 6
(b) 0
(c) 2
(d) 5
Answer
Answer: a
- The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k – 1 has infinitely many solutions is
(a) 2
(b) 3
(c) 4
(d) 5
Answer
Answer: a
- The value of k for which the equations (3k + l)x + 3y = 2; (k2 + l)x + (k – 2)y = 5 has no solution, then k is equal to
(a) 2
(b) 3
(c) 1
(d) -1
Answer
Answer: d
- The pair of equations x = a and y = b graphically represents lines which are
(a) parallel
(b) intersecting at (b, a)
(c) coincident
(d) intersecting at (a, b)
Answer
Answer: d
- Asha has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively
(a) 35 and 15
(b) 15 and 35
(c) 35 and 20
(d) 25 and 25
Answer
Answer: d
- 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 are, respectively
(a) 4 and 24
(b) 5 and 30
(c) 6 and 36
(d) 3 and 24
Answer
Answer: c