Home
Class 12
MATHS
If the equation sin^4x-(k+2)sin^2x=(k+3)...

If the equation `sin^4x-(k+2)sin^2x=(k+3)` has a solution then `' k '` must lie in the interval: `(-4,-2)` b. `[-3,2)` c. `(-4,-3)` d. `[-3,-2]`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If the equation sin^(4)x-(k+2)sin^(2)x=(k+3) has a solution then 'k' must lie in the interval: (-4,-2) b.[-3,2) c.(-4,-3)d[-3,-2]

The equation 4sin^(2)x+4sin x+a^(2)-3=0 possesses a solution if 'a' belongs to the interval

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

prove that the equation k cos x-3sin x=k+1 has a solution for x' for k in(-oo,4]

If the equation 4x^(2) - 2kx + 3k =0 has equal roots, then what are the values of k?

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

int_(-1)^(1)(9x^(5)+4x^(3)+2x+1)/(x^(2)+4)dx=k then 5sin k lies in the interval

If both roots of the quadratic equation x^(2)+x(4-2k)+k^(2)-3k-1=0 are less than 3, then k lies in the interval

Number of solutions of the equation sin^(2)x+sin^(2)2x-sin^(2)3x-sin^(2)4x=0 lying in the interval (0,(pi)/(2))]

The solution of the equation sin 2x + sin 4x = 2 sin 3x is

RESONANCE DPP-JEE MAINS-All Questions
  1. Solve for x :(log)2(sin x/2)<-1

    Text Solution

    |

  2. Let f(x)=x^4-6x^3+12 x^2-8x+3. If Rolles theorem is applicable to varp...

    Text Solution

    |

  3. If the equation sin^4x-(k+2)sin^2x=(k+3) has a solution then ' k ' mus...

    Text Solution

    |

  4. Let the function f, g, h are defined from the set of real numbers RR t...

    Text Solution

    |

  5. xdotC(21)+ydotC(22)+zdotC(23) is (a)0 (b) delta (c) -delta (d) Non...

    Text Solution

    |

  6. The number of real solution of equation Sin(e^x) = 5^x + 5^(-x) is :

    Text Solution

    |

  7. qdotM(12)+ydotM(22)+mdotM(32)= (a) 0 (b) triangle (c) -triangle (d...

    Text Solution

    |

  8. The left hand derivative of f(x)=[x]sin(pix) at x = k, k is an intege...

    Text Solution

    |

  9. If 4a^2+c^2=b^2-4a c , then the variable line a x+b y+c=0 always passe...

    Text Solution

    |

  10. If f(x)={[x]+sqrt({x}),x<1 1/([x]+{x}^2),xgeq1 , then [where [.] and {...

    Text Solution

    |

  11. pdotC(21)+qdotC(22)+rdotC(23)= (a) 0 (b) triangle (c) -triangle (d...

    Text Solution

    |

  12. Let A" "=" "{9," "10 ," "11 ," "12 ," "13} and let f" ":" "A ->N be de...

    Text Solution

    |

  13. If (0,1),(1,1)a n d(1,0) be the middle points of the sides of a triang...

    Text Solution

    |

  14. The quadratic equation whose root:s are sec^2 alpha and cosec^2 alpha...

    Text Solution

    |

  15. Consider the function f(x) = (.^(x+1)C(2x-8))(.^(2x - 8)C(x + 1)) Sta...

    Text Solution

    |

  16. if a,b,c are positive real numbers such that a^(log3(7));b^(log7(11))=...

    Text Solution

    |

  17. The graph of the function y =f(x). Then which of the following could r...

    Text Solution

    |

  18. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

    Text Solution

    |

  19. The interior angle bisector of angle P for the trangle P Q R whose coo...

    Text Solution

    |

  20. The graph of function f1(x)={1,ifxlt=0x^2+1,if0<x<2,f2(x)=(log)(1/2)(x...

    Text Solution

    |