Question

Assertion: The graph of the linear equation 2x - y = 1 passes through the (2, 3). Reason: Every point lying on graph is not a solution of 2x - y = 1.​

Answer 1

Answer:

Assertion and Reason are Correct but reason is not correct explanation of Assertion.

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

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.

(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.

EVALUATION

Assertion :

The graph of the linear equation 2x - y = 1 passes through the point (2, 3).

Putting x = 2 , y = 3 in both sides of Equation 2x - y = 1 we get

( 2 × 2 ) - 3 = 4 - 3 = 1

So the point (2,3) satisfies the equation 2x - y = 1

Thus point (2, 3) is the solution of 2x - y = 1

So Assertion is correct

Reason :

Every point lying on graph is not a solution of 2x - y = 1.

We know that every point which satisfy the linear equation is a solution of the equation

So Reason is not correct

Hence the correct option is

(c) Assertion (A) is true but reason (R) is false.

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