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Mathematics

Assertion (A): For the line 3x + 4y = 7, the abscissa is 34-\dfrac{3}{4}.

Reason (R): 3x + 4y = 7

⇒ 3x = 7

and x = 2132\dfrac{1}{3}.

  1. A is true, but R is false.

  2. A is false, but R is true.

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

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

Graphical Solution

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Answer

Given, equation of line : 3x + 4y = 7

When, y = 0

⇒ 3x + 4 x 0 = 7

⇒ 3x = 7

⇒ x = 73=213\dfrac{7}{3} = 2\dfrac{1}{3}

∴ Reason (R) is true.

So, the abscissa is 73 and not 34\dfrac{7}{3} \text{ and not } -\dfrac{3}{4}.

∴ Assertion (A) is false.

∴ A is false, but R is true.

Hence, option 2 is the correct option.

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