Home
Class 12
MATHS
If alpha,-(pi)/(2) lt alpha lt (pi)/(2) ...

If `alpha,-(pi)/(2) lt alpha lt (pi)/(2)` is the solution of `4cos theta+5sin theta=1` ,then the value of `tan alpha` is

A

`(10-sqrt(10))/6`

B

`(10-sqrt(10))/12`

C

`(sqrt(10)-10)/12`

D

`(sqrt(10)-10)/6`

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 sin theta =12/13 ,(pi)/(2) lt theta lt pi find the value of sec theta + tan theta

If sin(theta+alpha)=cos(theta+alpha) then the value of tan theta is

If sin theta=3sin(theta+2 alpha), then the value of tan(theta+alpha)+2tan alpha is

If (pi)/(2) lt theta lt (3pi)/(2) then sqrt(tan^(2)theta-sin^(2)theta) is equal to :

If (pi)/(2)lt alpha lt (3pi)/(4) , then sqrt(2tan alpha+(1)/(cos^(2)alpha)) is equal to

If 0 lt alpha lt (pi)/(16) and (1+tan alpha)(1+tan4alpha)=2 , then the value of alpha is equal to

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. If f(x)={(2+2x,-1 le x lt 0),(1-x/(3),0 le x le 3)) g(x)={(-x,-3 le x ...

    Text Solution

    |

  2. If the value of the integral int(-(pi)/(2))^((pi)/(2))((x^(2)cos x)/(1...

    Text Solution

    |

  3. If alpha,-(pi)/(2) lt alpha lt (pi)/(2) is the solution of 4cos theta+...

    Text Solution

    |

  4. For x in(-(pi)/(2),(pi)/(2)), if y(x)=int(cosec x+sin x)/(cosec x sec ...

    Text Solution

    |

  5. Consider the function f:[(1)/(2),1]rarr R defined by f(x)=4sqrt(2)x^(3...

    Text Solution

    |

  6. Let (5,(a)/(4)) be the circumcenter of a triangle with vertices A(a,-2...

    Text Solution

    |

  7. If z=(1)/(2)-2i is such that |z+1|=alpha z+beta(1+i),i=sqrt(-1) and al...

    Text Solution

    |

  8. If "AA"^T=I where A^T is transpose of matrix A then, 1/2A[(A+A^T)^2+(A...

    Text Solution

    |

  9. What is probability of getting '2' in even number of throws of a die i...

    Text Solution

    |

  10. Suppose f(x)=((2^(x)+2^(-x))tan x sqrt(tan^(-1)(x^(2)-x+1)))/((7x^(2)+...

    Text Solution

    |

  11. In an A.P.,the sixth term a(6)=2 .If the product a(1)a(4)a(5) is the g...

    Text Solution

    |

  12. In a /ABC ,suppose y=x is the equation of the bisector of the angle "B...

    Text Solution

    |

  13. If in a G.P.of "64" terms,the sum of all the terms is "7" times the su...

    Text Solution

    |

  14. Let vec a,vec b and vec c be three non-zero vectors such that vec b an...

    Text Solution

    |

  15. The area (in sq.units) of the part of the circle x^(2)+y^(2)=169 which...

    Text Solution

    |

  16. If the solution curve y=y(x) of the differential equation (1+y^(2))(1+...

    Text Solution

    |

  17. If (""^(11)C(1))/(2)+(""^(11)C(2))/(3)+...+("^(11)C(9))/(10)=(n)/(m) w...

    Text Solution

    |

  18. Equations of two diameters of a circle are 2x-3y=5 and 3x-4y=7 .The li...

    Text Solution

    |

  19. Let f(x)=2^(x)-x^(2),x in R .If "m" and "n" are respectively the numbe...

    Text Solution

    |

  20. If the points of intersection of two distinct conics x^(2)+y^(2)=4b" a...

    Text Solution

    |