Question

Assertion (A): For the line 3x + 4y = 7, the abscissa is `- 3/4`.

Reason (R): For abscissa of a point, y = 0 and 3x + 4y = 7 ⇒ `x = 7/3`.

Options

• A is true, R is false.

• A is false, R is true.

• Both A and R are true and R is the correct reason for A.

• Both A and R are true and R is the incorrect reason for A.

Answer 1

A is false, R is true.

Explanation:

• Reason (R) is true because the abscissa of a point is its x-coordinate where it crosses the x-axis (y = 0). Substituting y = 0 into 3x + 4y = 7 gives \[3x = 7 \implies x = \frac{7}{3}\].
• Assertion (A) is false because it states the abscissa is \[-\frac{3}{4}\], whereas the calculated value from Reason R is \[\frac{7}{3}\].