PYQSide ExamsMy practice

Inverse Trigonometric Functions · Question 15

JEE Main 2025 (Online) 2nd April Evening ShiftNumericalMedium📈 Topic in 19% papers+4
1

If y = ( 3 + -1 x2 ), then (x - y)2 + 3y2 is equal to .

Answer

3

Solution

Let = -1 x2, so = x2 and = 4 - x22 (∵ [0, ])

y = 3 - 3

= x4 - 34 4 - x2

x - 4y = 3 4 - x2

Squaring: x2 - 8xy + 16y2 = 12 - 3x2

4x2 - 8xy + 16y2 = 12

x2 - 2xy + 4y2 = 3

(x - y)2 + 3y2 = 3

Answer: 3

JEE Main 2025 (Online) 2nd April Evening Shift

Keep practising — Inverse Trigonometric Functions

2

Let S = \x : -1x = + -1x + -1(2x + 1) \. Then x S(2x - 1)2 is equal to .

JEE Main 2025 (Online) 29th January Morning Shift
3

( -1 35 + -1 513 + -1 3365 ) is equal to:

  1. 3365
  2. 1
  3. 3265
  4. 0
JEE Main 2025 (Online) 28th January Morning Shift
4

Let [x] denote the greatest integer less than or equal to x. Then the domain of f(x) = -1(2[x] + 1) is:

  1. (- , )
  2. (- , ) - \0\
  3. (- , -1] [0, )
  4. (- , -1] [1, )
JEE Main 2025 (Online) 28th January Evening Shift

All Inverse Trigonometric Functions PYQs →

PDFDownload Inverse Trigonometric Functions PYQs as PDF Free, with answer key and a QR code to every solution — print it or study offline⬇
All JEE Main Mathematics chapters
Class 11SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsPermutations and CombinationsBinomial TheoremSequences and SeriesStraight LinesConic SectionsIntroduction to Three Dimensional GeometryLimits and DerivativesStatisticsProbability
Class 12Relations and Functions (Class 12)Inverse Trigonometric FunctionsMatricesDeterminantsContinuity and DifferentiabilityApplication of DerivativesIntegralsApplication of IntegralsDifferential EquationsVector AlgebraThree Dimensional GeometryProbability (Class 12)