Download App

Maths Assertion (A) & Reason (B) MCQ

Linear Equations In Two Variables [NEW] · Gujarat Board (GSEB) STD 9 (GSEB - English Medium). 8 questions.

Questions

Assertion (A) & Reason (B) MCQ

🎯

Test yourself on this topic

8 questions · timed · auto-graded

MCQ 11 Mark
Statement-1 (A): The graph of the linear equation $y=m x+c$ passes through the origin.
Statement-2 (R): The linear equation $a x+b y=0$ represents a straight line passing through the origin.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • C
    Statement- 1 is true, Statement-2 is false.
  • ✓
    Statement- 1 is false, Statement-2 is true.
Answer
Correct option: D.
Statement- 1 is false, Statement-2 is true.
d
View full question & answer→
MCQ 21 Mark
Statement-1 (A): The graph of the linear equation $y=4$ is a line parallel to $x$-axis at a distance of 4 units above it.
Statement-2 (R): The line parallel to $x$-axis at a distance a units above the $x$-axis is given by the equation $y=-a$.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • ✓
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: C.
Statement-1 is true, Statement-2 is false.
c
View full question & answer→
MCQ 31 Mark
Statement-1 (A): The graph of the linear equation $4 x+3 y=24$ mects $x$-axis at (-6,0).
Statement-2 (R): Points on $x$-axis are of the form (a, 0), where a is a variable.
  • A
    Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
  • ✓
    Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is True, Statement-2 is False.
  • D
    Statement-1 is False, Statement-2 is True.
Answer
Correct option: B.
Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
(b)
Let the line $3 x-2 y=12$ meet $y$-axis at $(0, a)$. Then, $x=0$ and $y=a$ is solution of the equation $3 x-2 y=12$.
$3 \times 0-2 \times a=12 \Rightarrow-2 a=12 \Rightarrow a=-6$
So, the required points is $(0,-6)$. Hence, statement -1 is true.
The graph of the linear equation $a x+b y=0$ is a line passing through the origin. So, the graph of the equation $2 y=3 x$ or, $3 x-2 y=0$ is a line passing through the origin. hence, statement-2 is true. Thus, both the statements are true. Hence, option (b) is correct.
View full question & answer→
MCQ 41 Mark
Statement-1 (A): The graph of the linear equation $4 x+3 y=24$ mects $x$-axis at (-6,0).
Statement-2 (R): Points on $x$-axis are of the form (a, 0), where a is a variable.
  • A
    Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is True, Statement-2 is False.
  • ✓
    Statement-1 is False, Statement-2 is True.
Answer
Correct option: D.
Statement-1 is False, Statement-2 is True.
(d)
Statement-2 is trivially true. Suppose the graph of the linear equation $4 x+3 y=24$ meets $x$-axis at $(a, 0)$. Then $x=a$ and $y=0$ is a solution of the equation.
$\therefore \quad 4-a+3,0=24 \Rightarrow 4 a=24 \Rightarrow a=6$
Thus, the graph of the equation $4 x+3 y=24$ meets $x$-axis at $(6,0)$.
So, statement-1 is not true. Hence, option (d) is correct.
View full question & answer→
MCQ 51 Mark
Statement-1 (A): The graph of the linear equation 2x - y + 18 = 0 meets x-axis at (-9, 0).
Statement-2 (R): Coordinates of points on y-axis are of the form (0, a), where a is a variable.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • ✓
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement- 1 is true, Statement-2 is false.
  • D
    Statement- 1 is false, Statement-2 is true.
Answer
Correct option: B.
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
b
View full question & answer→
MCQ 61 Mark
Statement-1 (A): The graph of the equation $x=-5$ is a line parallel to $y$-axis at a distance of 5 units to the left of $y$-axis.
Statement-2 (R): The line parallel to $y$-axis at a distance a units to the left of $y$-axis is given by the equation $x=-a$.
  • ✓
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • C
    Statement- 1 is true, Statement-2 is false.
  • D
    Statement- 1 is false, Statement-2 is true.
Answer
Correct option: A.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
a
View full question & answer→
MCQ 71 Mark
Statement-1 (A): Every point on $y$-axis represents a solution of the equation $x=0$. Statement-2 (R): Points on $y$-axis are of the form (0, k), where k is a variable.
  • ✓
    Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is True, Statement-2 is False.
  • D
    Statement-1 is False, Statement-2 is True.
Answer
Correct option: A.
Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
(a)
The y-coordinate of every point on x-axis is zero. So, points on x-axis are of the form (k, 0), where k is a variable. Thus, statement-2 is true.
For any point on x-axis, we have x = k and y = 0. These values of x and y satisfy the equation $0 x+1 . y = 0$ i.e. $y=0$. Hence, every point on x-axis represents a solution of the equation y = 0. So, statement-1 is true. Also, statement-2 is a correct explanation for statement-1.
Hence, option (a) is correct.
View full question & answer→
MCQ 81 Mark
Statement-1 (A): Every point on x-axis represents a solution of the equation y = 0.
Statement-2 (R): Points on x-axis are of the form (k, 0), where k is a variable.
  • ✓
    Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is True, Statement-2 is False.
  • D
    Statement-1 is False, Statement-2 is True.
Answer
Correct option: A.
Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
(a)
The y-coordinate of every point on x-axis is zero. So, points on x-axis are of the form (k, 0), where k is a variable. Thus, statement-2 is true.
For any point on x-axis, we have x = k and y = 0. These values of x and y satisfy the equation $0 x+1 . y = 0$ i.e. $y=0$. Hence, every point on x-axis represents a solution of the equation y = 0. So, statement-1 is true. Also, statement-2 is a correct explanation for statement-1.
Hence, option (a) is correct.
View full question & answer→
Generate Paper FreeAll Linear Equations In Two Variables [NEW] topics
Assertion (A) & Reason (B) MCQ - Maths STD 9 Questions - Vidyadip