Home
Class 12
MATHS
If 2sin^(3)x+sin2x cos x+4sin x-4=0 has ...

If `2sin^(3)x+sin2x cos x+4sin x-4=0` has exactly "3" solutions in the interval `[0,(n pi)/(2)]`,n in N" ,then the roots of the equation `x^(2)+nx+(n-3)=0` belong to :

A

`(-(sqrt(17))/(2),(sqrt(17))/(2))`

B

`(0,oo)`

C

Z

D

`(-oo,0)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sgn(sin^(2)x-sin x-1) has exactly four points of discontinuity for x in(0,n pi),n in N, then

If sin^(2)x-2sin x-1=0 has exactly four different solutions in x in[0,n pi], then value/values of n is/are (n in N)5(b)3(c)4 (d) 6

For (x in(0,pi)) ,the number of solutions of the equation sin x+2sin2x-sin3x=3^ (is)

The number of solutions of the equation 2cos^(2)x+3sin x-3=0,x in(0,2 pi) is

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

If 3sin x+3cos x=3+sin2x, x in[0,2 pi] then number of solution ( s) of given equation is

Number of roots of the equation (3+cos x)^(2)=4-2sin^(8)x,x in[0,5 pi] are

f(x)=[2+3|n|sin x],n in N,x in(0,pi) has exactly 11 points of discontinuity Then the value of n is

If solution of the equation sin^(4)2x+cos^(4)2x=sin2x*cos2x is of the form (n pi)/(2)+(pi)/(k),n in I, then value of k is

The number of solutions of the equation 3"sin"^(2) x - 7"sin" x +2 = 0 in the interval [0, 5 pi] , is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let "M" denote the median of the following frequency distribution The...

    Text Solution

    |

  2. Let y=y(x) be the solution of the differential equation sec xdy+{2(1-x...

    Text Solution

    |

  3. If 2sin^(3)x+sin2x cos x+4sin x-4=0 has exactly "3" solutions in the i...

    Text Solution

    |

  4. Let A(2, 3, 5) and C(-3, 4, -2) be opposite vertices of parallelogram ...

    Text Solution

    |

  5. If the domain of the function f(x)=cos^(-1)((2-|x|)/(4))+{log(e)(3-x)}...

    Text Solution

    |

  6. The area (in square units) of the region bounded by the parabola y^(2)...

    Text Solution

    |

  7. A triangle has one vertex at (0,0) and the other two on the graph of y...

    Text Solution

    |

  8. Let f:[-(pi)/(2),(pi)/(2)]rarr R be a differentiable function such tha...

    Text Solution

    |

  9. If the length of the minor axis of an ellipse is equal to half of the ...

    Text Solution

    |

  10. Two integers xa n dy are chosen with replacement out of the set {0,...

    Text Solution

    |

  11. A line passing through the point "A(9,0)" makes an angle of 30^(@) wit...

    Text Solution

    |

  12. Consider the system of linear equations x+y+z=4 mu,x+2y+2 lambda z=10 ...

    Text Solution

    |

  13. Let (alpha, beta, gamma) be the foot of perpendicular from the point (...

    Text Solution

    |

  14. If d(1) is the shortest distance between the lines x+1=2y=-12z,x=y+2=6...

    Text Solution

    |

  15. The value of 9int(0)^(9)[sqrt((10x)/(x+1))]dx ,where "[t]" denotes the...

    Text Solution

    |

  16. Let y=y(x) be the solution of the differential equation (1-x^(2))dy=[x...

    Text Solution

    |

  17. Let A={1,2,3,...,7} and let "P(A)" denote the power set of "A" .If the...

    Text Solution

    |

  18. If alpha = 1^2 + 4^2 + 8^2 + 13^2 +........ upto 10 terms and beta = s...

    Text Solution

    |

  19. Number of integral term in the expansion of (7^(1/2)+11^(1/6))^(824)

    Text Solution

    |

  20. If the function f(x)={[(1)/(|x|),,|x|ge2],[ax^(2)+2b,,|x|<2]]is differ...

    Text Solution

    |