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Assertion and Reason Questions for Class 9 Maths Chapter 4 Linear Equations in, , Two Variables, , Directions: In the following questions, a statement of assertion (A) is followed by a, statement of reason (R). Mark the correct choice as:, , (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation, of assertion (A)., , (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct, explanation of assertion (A)., , (C) Assertion (A) is true but reason (R) is false., , (d) Assertion (A) is false but reason (R) is true., , Q.1. Assertion : There are infinite number of lines which passes through (3, 2)., , Reason: A linear equation in two variables has infinitely many solutions., , Answer, , Answer: (b), , We know that a linear equation in two variables has infinitely many solutions. So,, Reason is correct., , Through a point infinite lines can be drawn., , Through (3, 2) infinite number of lines can be drawn., , Hence, Assertion is also correct., , But reason (R) is not the correct explanation of assertion (A)., , Correct option is (b), , Q.2. Assertion : If x = 2, y = 1is a solution of the equation 2x + 3y = k, then the value of, kis 7., , Reason: The solution of the line will satisfy the equation of the line., , Answer, , Answer: (a)
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We know that the solution of the line will satisfy the equation of the line., , So, Reason is correct., , Since x = 2, y =1 is a solution of the given linear equation, we have, , 2x2 + 3x1 —k=0 = 443 -K=0=K=7., , So, Assertion is also correct., , Correct option is (a), , Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of, , assertion (A)., , Q3. Assertion : If x = 2k - 1 and y = kis a solution of the equation 3x - 5y - 7 = 0, then, the value of k is 10., , Reason: A linear equation in two variables has infinitely many solutions, , Answer, , Answer: (b), , Q.4. Assertion: x + y = 3 is the equation of a line passing through the origin., , Reason: y = 2x is the equation of a line passing through the origin., , Answer, , Answer: (d), , Q5. Assertion: X = 3 and y = 2 is a solution of the linear equation 2x + 3y = 12., , Reason: X = 4 and y = 2 is a solution of the linear equation x + 3y = 10., , Answer, , Answer: (b), , Q.6. Assertion : The point (3, 0) lies on the graph of the linear equation 4x + 3y = 12., , Reason: (3, 0) satisfies the equation 4x + 3y = 12.
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Answer, , Answer: (a), , Q.7. Assertion : A linear equation 3x + 5y = 2 has a unique solution., , Reason: A linear equation in two variables has infinitely many solutions., , Answer, , Answer: (d), , We know that a linear equation in two variables has infinitely many solutions., So, Reason is correct., , Hence, Assertion is not correct, , Correct option is (d) Assertion (A) is false but reason (R) is true., , Q.8. Assertion : The graph of the linear equation 2x - y = 1 passes through the point (2,, 3)., , Reason: Every point lying on graph is not a solution of 2x - y=1., , Answer, , Answer: (c), , Q.9. Assertion: y = 3x represents a line passing through the origin., , Reason: Any line parallel to the x-axis is y = a., , Answer, , Answer: (b)
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Q.10. Assertion : The point (2, 2) is the solution of x + y = 4., , Reason: Every point which satisfy the linear equation is a solution of the equation, , Answer, , Answer: (a), , Q.11. Assertion: X = 2 is a line parallel to the y-axis., , Reason: The equation of a line parallel to the y-axis is x = a., , Answer, , Answer: (a)
