KSEEB Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Additional Questions
KSEEB Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Additional Questions
Karnataka State Syllabus Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Additional Questions
I. Multiple Choice Questions:
Question 1.
Which of the following is not a linear equation
(a) x + 3y = 8
(b) x = 2y
(c) x2 + 5x + 8 = 0
(d) y = 0.
Answer:
(c) x2 + 5x + 8 = 0
Question 2.
x = 1 and y = 3 is a solution of a linear equation.
(a) x – y = 4
(b) x + y = 4
(c) 2x + y = 8
(d) 2y + x = 9
Answer:
(b) x + y = 4
Question 3.
The pair of co-ordinates satisfying 2x + y = 6 is
(a) (2, 2)
(b) (2, 3)
(c) (4, 1)
(d) (5, 1)
Answer:
(a) (2, 2)
Question 4.
The pair of equations x = 0 and y = 0 represents.
(a) Parallel lines
(b) Coincident lines
(c) non-intersecting lines
(d) Perpendicular intersecting lines
Answer:
(d) Perpendicular intersecting lines
Question 5.
If the ten’s and unit’s digits of a two digit number are y and x respectively, then the number will be.
(a) 10y + x
(b) 10x + y
(c) 10xy
(d) y + x
Answer:
(a) 10y + x
Question 6.
If the line y = px – 2 passes through the point (2, 2), then the value of P is
(a) 3
(b) 2
(c) 5
(d) 4
Answer:
(b) 2
Question 7.
The coordinates of the origin are.
(a) (0, 1)
(b) (1, 0)
(c) (2, 2)
(d) (0, 0)
Answer:
(d) (0, 0)
Question 8.
The point (-3, -4) lies in the Quadrant.
(a) I
(b) II
(c) III
(d) IV
Answer:
(c) III
Question 9.
The point of intersection of the lines x – 2 – 0 and y + 6 = 0 is
(a) (0, 0)
(b) (0, -6)
(c) (0, 2)
(d) (2, -6)
Answer:
(d) (2, -6)
Question 10.
The pair of equations x = 4 and y = 3 graphically represents lines which are
(a) Parallel
(b) intersecting at (3, 4)
(c) Coincident
(d) intersecting at (4, 3)
Answer:
(d) intersecting at (4, 3)
Question 11.
Two lines are given to be parallel the equation of one of the lines is 4x + 3y = 14. The equation of the second line can be.
(a) 3x + 4y =14
(b) 8x + 6y = 28
(c) – 12x = 9y
(d) 12x + 9y = 42
Answer:
(c) – 12x = 9y
Question 12.
The pair of equations x + y = 0 and x + y = – 7 has
(a) one solution
(b) no solution
(c) two solutions
(d) infinitely many solutions
Answer:
(b) no solution
Question 13.
The pair of linear equations 3x + 5y = 3 and 6x + Ky = 8 does not have a solution if.
(a) K = 5
(b) K ≠ 10
(c) K = 10
(d) K ≠ 5.
Answer:
(c) K = 10
Question 14.
If y = 2x – 3 and y = 5 then the value of x is.
(a) 1
(b) 2
(c) 3
(d) 4
Answer:
(d) 4
Question 15.
The sum of two numbers is 8 and their difference is 2. Find the numbers.
(a) 5 and 3
(b) 6 and 4
(c) 4 and 2
(d) 4 and 4
Answer:
(a) 5 and 3
Question 16.
The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.
(a) 98°, 82°
(b) 99°, 81°
(c) 118, 100°
(d) 80°, 100°
Answer:
(b) 99°, 81°
Question 17.
The value of a so that the point (3, a) lies on the line represented by 2x – 3y = 5 is
(a) 1/3
(b) – 1/3
(c) 1
(d) 2/3
Answer:
(b) – 1/3
Question 18.
If the pair of linear equations a1 x + b, y + c, = 0 and a2x + b2y + c2 = 0 has a unique solution, then.
Answer:
Question 19.
The solution of the pair of equations x – y = 0, 2x – y = 0 is
(a) x = 3, y = 5
(b) x = 3, y = 2
(c) x = 2, y = 2
(d) x = 5, y = 5
Answer:
(c) x = 2, y = 2
Question 20.
The value of x if y = 1/2x and 3x + 4y = 20 is
(a) 3
(b) 5
(c) 6
(d) 4
Answer:
(d) 4
II. Very Short Answer Questions:
Question 1.
Find the coordinate where the line x – y = 8 will intersect the y-axis.
Answer:
The given line will intersect y-axis when x = 0 ∴ 0 – y = 8
y = – 8
Question 2.
If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then find value of k.
Answer:
Since given lines are parallel
Question 3.
Write the number of solutions of the following pair of linear equations.
Answer:
∴ The given pair of linear equations has infinitely many solutions.
Question 4.
For all real values of c, the pair of equations x – 2y = 8, 5x + 10y = c have a unique solution. Justify true (or) false.
Answer:
∴ Given pair of equations have unique solution.
∴ Given statement is true.
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