Home
Class 12
MATHS
The equation sin^(4) x + cos^(4) x + si...

The equation ` sin^(4) x + cos^(4) x + sin 2x + k = 0 ` must have real solutions if :

A

` k = 0 `

B

` |k| le (1)/(2) `

C

` - (3)/(2) le k le (1)/(2) `

D

` - (1)/(2) le k le (3)/(2) `

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|3 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Matching Type Problems|2 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|10 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a solution, if

The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a solution, if

The number of solution of the equation 2 "sin"^(3) x + 2 "cos"^(3) x - 3 "sin" 2x + 2 = 0 "in" [0, 4pi] , is

Solve the equation 4 sin x cos x + 2 sin x + 2 cos x + 1 = 0

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

The equation "sin"^(4) theta + "cos"^(4) theta = a has a real solution if

Find the number of solutions of the equation 2 sin^(2) x + sin^(2) 2x = 2 , sin 2x + cos 2x = tan x in [0, 4 pi] satisfying the condition 2 cos^(2) x + sin x le 2 .

Find the number of solutions of the equation 2 sin^(2) x + sin^(2) 2x = 2 , sin 2x + cos 2x = tan x in [0, 4 pi] satisfying the condition 2 cos^(2) x + sin x le 2 .

The general solution of 4 sin^4 x + cos^4x= 1 is