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Mathematics

Assertion (A): The line 3x + 3y + 5 = 0 crosses the x-axis at the point (0,−53)\Big(0, - \dfrac{5}{3}\Big).

Reason (R): The ordinate of every point on x - axis is zero.

  1. Assertion (A) is true, Reason (R) is false.

  2. Assertion (A) is false, Reason (R) is true.

  3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

  4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

Straight Line Eq

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Answer

We know that,

The ordinate (y-coordinate) of every point on x-axis is zero.

So, reason (R) is true.

Substituting y = 0, in the equation of line 3x + 3y + 5 = 0, we get :

⇒ 3x + 3 x 0 + 5 = 0

⇒ 3x + 5 = 0

⇒ x = −53-\dfrac{5}{3}

Point of intersection = (−53,0)\Big(-\dfrac{5}{3}, 0\Big)

So, assertion (A) is false.

Thus, Assertion (A) is false, Reason (R) is true.

Hence, option 2 is the correct option.

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