Home
Class 11
MATHS
Consiser the system of equations x cos^(...

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

A

`+-5sqrt(5)`

B

`+-sqrt(5)`

C

`+-1/(sqrt(5))`

D

`+-1/(5sqrt(5))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I LEVEL -II MATRIX MATCHING TYPE QUESTIONS)|1 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I LEVEL -II INTEGER TYPE QUESTIONS)|10 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I LEVEL -II MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|11 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 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 value of sin^(2) y + 2 cos^(2) y 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

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 value of x is / are

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

Solve the system of equations x-y+z=0,x+2y-z=0,2x+y+3z=0

The system of equations x+y+z=6, x+2y+3z=14, x+4y=7z=30 has

If the system of equations (k+1)^(3)x+(k+2)^(3)y=(k+3)^(2),(k+1)x+(k+2)y+k+3,x+y=1 is consistent then the value of k is

If the system of equations x+2y+3z=13, 3x+y+2z=12, 2x+3y+6z=0 has

The system of equations x-2y+3z=5, 2x-2y+z=0, -x+2y-3z=6 has

Examine the consistency of the system of equations x+2y =2 2x+ 3y =3