Home
Class 11
MATHS
Consider the system of equations sin x c...

Consider the system of equations `sin x cos 2y=(a^(2)-1)^(2)+1,cosxsin2y=a+1`
The number of values of `y in [0,2pi]` when the system has solution for permissible values of a, is

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|3 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

Consider the system of equations sin x cos 2y=(a^(2)-1)^(2)+1,cosxsin2y=a+1 The number of values of a for which the system has a solution is

Consider the system of equations sin x cos 2 y = (a^(2) - 1) ^(2) + 1, cos x sin 2 y = a + 1 The number of values of a for which the system has a solution is

Solve the system of equation 2x+ 5y =1 3x +2y =7

The number of values of y in [-2pi,2pi] satisfying the equation |sin2x|+|cos2x|=|siny| is

Consider the system of equations x cos ^(3) y + 3 x cosy sin^(2) y = 14 t o (1) and x sin^(3) y + 3 x cos^(2) y sin y = 13 to (2) The number of values of y in [0, 6 pi] are

Consiser the system of equations x cos^(3)y+3xcosysin^(2)y=14to(1) and xsin^(3)y+3xcos^(2)y=13to(2) The value of x is/are

Consider the system of equations cos^(-1)x+(sin^(-1)y)^(2)=(ppi^(2))/4 and (cos^(-1)x)(sin^(-1)y)^(2)=pi^(4)/16, p in Z . The value of p for which system has a solution is