Home
Class 12
MATHS
If a cos 2 theta+b sin 2 theta=c has alp...

If `a cos 2 theta+b sin 2 theta=c` has `alpha` and `beta` as its solution, then `tan alpha+tan beta` is equal to

A

`(2c)/(a+b)`

B

`(2c)/(b+c)`

C

`(2b)/(c+a)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 111

    NTA MOCK TESTS|Exercise MATHEMATICS |29 Videos

  • NTA TPC JEE MAIN TEST 113

    NTA MOCK TESTS|Exercise MATHEMATICS|29 Videos

Similar Questions

Explore conceptually related problems

If a cos 2 theta + b sin 2 theta =c has alpha and beta as its solution, then the value of tan alpha + tan beta is

If a cos2 theta+b sin2 theta=chas alpha and beta as its roots,then prove that tan alpha+tan beta=(2ab)/(a+c)tan alpha+tan beta=(c-a)/(c+a)tan(alpha+beta)=(b)/(a)

If alpha and beta are the solution of a cos theta + b sin theta = c , then

If cos (theta -alpha) =a, sin (theta - beta) =b, then cos ^(2) (alpha - beta) + 2 ab sin (alpha - beta) is equal to

If sin alpha+sin beta=a and cos alpha+cos beta=b then tan((alpha-beta)/(2)) is equal to

If tan beta=cos theta*tan alpha, then tan^(2)((theta)/(2)) is equal to

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 112-MATHEMATICS
  1. lim(xto0)8/(x^(8)) is [1-"cos"(x^(2))/2-"cos"(x^(2))/4+"cos"^(x^(2))...

    Text Solution

    |

  2. Let f(x)=cosx,g(x) {("minimum"{(t):0letlex},x in [0,pi]),(sinx-1,xgtpi...

    Text Solution

    |

  3. If g(x) be differentiable function for all real values of x and satisf...

    Text Solution

    |

  4. Let A (2,3),B(4,5) be two points and let C=(x,y) be a point such that ...

    Text Solution

    |

  5. cos(2001)pi+cot(2001)(pi)/2 is +sec(2001)(pi)/3+tan(2001)(pi)/4+cosec(...

    Text Solution

    |

  6. If a cos 2 theta+b sin 2 theta=c has alpha and beta as its solution, t...

    Text Solution

    |

  7. If cos^(-1)x(1)-cos^(-x)x(2) if +cos^(-1)(x(1)x(2)sqrt(1-x(1)^(2))sqrt...

    Text Solution

    |

  8. If the pair of lines ax^(2)+2(a+b)xy+by^(2)=0 lie along diameters of a...

    Text Solution

    |

  9. If a,b,c in R and 1 is a root of equation ax^(2)+bx+c=0 then the curve...

    Text Solution

    |

  10. The greatest positive integer which divides (n+2)(n+3)(n+4)(n+5)(n+6...

    Text Solution

    |

  11. Find the greatest value of n among all possible natural numbers n, suc...

    Text Solution

    |

  12. If C(n,12)=C(n,8) then evaluate P(22,22-n)-C(22, n) where C(n,r)=""^(n...

    Text Solution

    |

  13. If alpha, beta, gamma are three real number such that alpha+beta+gamma...

    Text Solution

    |

  14. Let p and q be the roots of x^(2)-3x+m=0 and r and s be the roots of ...

    Text Solution

    |

  15. The curve y=4x^(2)+2x-8 and y=x^(3)-x+10 touch each other at (p,q). Ev...

    Text Solution

    |

  16. If z=x+iy and x^(2)+y^(2)=36 and the range of |x|-|y| is [a,b] then ev...

    Text Solution

    |

  17. If I=int(x-1)/((x+1)sqrt(x^(3)+x^(2)+x))dx=g(x)+c, then [1/(g'(2))]=...

    Text Solution

    |

  18. Let A(1),A(2) denote the area bounded by the curve y=x|x|, axis the li...

    Text Solution

    |

  19. In a moderately skewed distribution the values fo mean, and mode are 1...

    Text Solution

    |

  20. y=y(x) satisfies the differential equation (x+y+1)dy=dx.If y(0)=0 and ...

    Text Solution

    |