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STD 11 - 4.2 Quadratic equations and inequations — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 4.2 Quadratic equations and inequations4 Marks
MCQ
How many roots the equation $x - \frac{2}{{x - 1}} = 1 - \frac{2}{{x - 1}}$have
  • A
    One
  • B
    Two
  • C
    Infinite
  • ✓
    None
✓

Answer

Correct option: D.
None
d
(d) If $x \ne 1$, multiplying each term by $(x - 1)$, the given equation reduces to $x(x - 1) = (x - 1)$or ${(x - 1)^2} = 0$or $x = 1$, which is not possible as considering $x \ne 1$. Thus given equation has no roots.

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