Home
Class 12
MATHS
Let alpha, betain(0,pi/2),3sin(alpha+bet...

Let `alpha, betain(0,pi/2),3sin(alpha+beta)=2sin(alpha-beta)` and `tanalpha=ktanbeta` then the value of k is

A

`-5`

B

`2/3`

C

`-2/3`

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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 0<=alpha,beta<=90^(@) and tan(alpha+beta)=3 and tan(alpha-beta)=2 then value of sin2 alpha is

If sin^(4) alpha + 4 cos^(4) beta + 2 = 4sqrt(2) sin alpha cos beta, alpha beta in [0, pi] , then cos (alpha + beta) - cos (alpha - beta) is equal to -sqrt(k) . The value of k is _________.

If 5sin alpha=3sin(alpha+2 beta)!=0, then tan(alpha+beta) is equal to

If alpha, beta in (0, (pi)/(2)), sin alpha = (4)/(5) " and " cos (alpha + beta) = - (12)/(13), then the value of sin beta is

If alpha+beta=(pi)/(2) and sin alpha=(1)/(3), then the value of sin beta

If sin alpha=A sin(alpha+beta),Ane0 , then The value of tan beta is

If alpha,betain(0,(pi)/(2)),sinalpha=(4)/(5)and cos(alpha+beta)=-(12)/(13) , then sin beta is equal to

If 2 sin 2alpha=tan beta,alpha,beta, in((pi)/(2),pi) , then the value of alpha+beta is

If alpha,beta in(-(pi)/(2),0) such that (sin alpha+sin beta)+(sin alpha)/(sin beta)=0 and (sin alpha+sin beta)(sin alpha)/(sin beta)=-1 and lambda=lim_(n rarr oo)(1+(2sin alpha)^(2n))/((2sin beta)^(2n))

2sin^(2)beta+4cos(alpha+beta)sin alpha sin beta+cos2(alpha+beta)=

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let L(1):vec r=(hat i-hat j+2 hat k)+lambda(hat i-hat j+2 hat k),lambd...

    Text Solution

    |

  2. Consider the system of linear equations x+y+z=5, x+2y+lambda^(2)z=9,x+...

    Text Solution

    |

  3. Let alpha, betain(0,pi/2),3sin(alpha+beta)=2sin(alpha-beta) and tanalp...

    Text Solution

    |

  4. Suppose 2-p,p,2-alpha,alpha are the coefficients of four consecutive t...

    Text Solution

    |

  5. Let y=f(x) be a thrice differentiable function in (-5,5) .Let the tang...

    Text Solution

    |

  6. If f(x)=ae^(2x)+be^(x)+cx, satisfies the conditions f(0)=-1, f'(log 2)...

    Text Solution

    |

  7. Let f:R-{0}rarr R be a function satisfying f((x)/(y))=(f(x))/(f(y)) fo...

    Text Solution

    |

  8. Let A(alpha,0) and B(0,beta) be the points on the line 5x+7y=50 .Let t...

    Text Solution

    |

  9. Let vec a= hat i+alpha hat j+beta hat k,alpha,beta in R .Let a vector ...

    Text Solution

    |

  10. Bag A contains "3" white,"7" red balls and Bag B contains "3" white,"2...

    Text Solution

    |

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

    Text Solution

    |

  12. If x^(2)-y^(2)+2hxy+2gx+2fy+c=0 is the locus of a point,which moves su...

    Text Solution

    |

  13. Let f:R rarr R be a function defined by f(x)=(x)/((1+x^(4))^(1/4)) ,an...

    Text Solution

    |

  14. The variance sigma^(2) of the data

    Text Solution

    |

  15. Let a line passing through the point (-1,2,3) intersect the lines L(1)...

    Text Solution

    |

  16. Consider two circles C(1):x^(2)+y^(2)=25 and C(2):(x-alpha)^(2)+y^(2)=...

    Text Solution

    |

  17. Let S(n) be the sum to "n" -terms of an arithmetic progression 3,7,11,...

    Text Solution

    |

  18. The number of real solutions of the equation x(x^(2)+3|x|+5|x-1|+6|x-2...

    Text Solution

    |

  19. Let Y=Y(X) be a curve lying in the first quadrant such that the area e...

    Text Solution

    |

  20. The area of the region enclosed by the parabola (y-2)^(2)=x-1 ,the lin...

    Text Solution

    |