JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Hard

1 of 1

Analyzing +4 | -1

The least positive non-integral solution of

\sin \,\,\pi \left( {{x^2} + x} \right) - \sin \,\,\pi {x^2} = 0

, is

View answer and explanation

Correct option: C

Irrational of the form

\frac{{\sqrt p - 1}}{4}

, when

\frac{{\sqrt p + 1}}{4}

is an odd integer

Option C is correct because the solution to the given trigonometric equation results in an irrational number of the form (

\sqrt{p}

- 1)/4, where (

\sqrt{p}

+ 1)/4 is an odd integer.

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