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4.2 Quadratic equations and inequations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS4.2 Quadratic equations and inequations1 Mark
MCQ
Consider the following two statements

$I$. Any pair of consistent liner equations in two variables must have a unique solution.

$II$. There do not exist two consecutive integers, the sum of whose squares is $365$.Then,

  • A
    both $I$ and $II$ are true
  • ✓
    both $I$ and $II$ are false
  • C
    $I$ is true and $II$ is false
  • D
    $I$ is false and $II$ is true
✓

Answer

Correct option: B.
both $I$ and $II$ are false
b
(b)

$(I)$ Any pair of consistent linear equation in two variables must have a unique solution. This statement is false. Consistent equation may have unique or infinite solution.

$(II)$ There do not exists two consecutive integers the sum of whose square is $365$ . This statement is also false

$13^2+14^2=365$

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