PYQSidePowered byPrepblink ExamsMy practice

Inverse Trigonometric Functions

JEE Main 2024 (Online) 31st January Morning ShiftMCQMedium📈 Topic in 21% papers+4−1
Ques. 1JEE Main 2024, 31 January (Morning Shift)

For , , 0, if -1 + -1 + -1 = and ( + + )( - + )=3 , then equals

  1. 3
  2. 32
  3. 1 2
  4. 3-12 2

Answer

(2) 32

Solution

Let -1 =A, -1 =B, -1 =C ⇒ A+B+C=

∵ each angle lies in [- 2, 2 ] and is non-zero, all three are positive ⇒ A, B, C are the angles of a triangle whose sides are ∝ A, B, C, i.e. ∝ , , (sine rule)

Given: ( + )2- 2=3 2+ 2- 2=

C= 2+ 2- 22 = 12 (cosine rule)

C= 3 = 3= 32

Answer: (2)

Keep practising — Inverse Trigonometric Functions

Ques. 2JEE Main 2024, 31 January (Evening Shift)

If a= -1( (5)) and b= -1( (5)), then a2+b2 is equal to

  1. 25
  2. 4 2+25
  3. 8 2-40 +50
  4. 4 2-20 +50
Ques. 3JEE Main 2024, 29 January (Evening Shift)

Let x= mn (m, n are co-prime natural numbers) be a solution of the equation (2 -1x )= 19 and let , ( > ) be the roots of the equation mx2-nx-m+n=0. Then the point ( , ) lies on the line

  1. 3x-2y=-2
  2. 3x+2y=2
  3. 5x+8y=9
  4. 5x-8y=-9
Ques. 4JEE Main 2024, 27 January (Evening Shift)

Considering only the principal values of inverse trigonometric functions, the number of positive real values of x satisfying -1(x)+ -1(2x)= 4 is :

  1. more than 2
  2. 2
  3. 0
  4. 1

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)