Home
Class 12
MATHS
If asin^2theta+bcos^2theta=m, bsin^2phi+...

If `asin^2theta+bcos^2theta=m, bsin^2phi+acos^2phi=n, atantheta=btanphi`, then which of the following is true?

A

`1/n-1/m=1/a-1/b`

B

`1/n + 1/m=1/a+1/b`

C

`m^(2)+n^(2) = a^(2) + b^(2)`

D

`m^(2)-n^(2) =a^(2)-b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If a sin^(2)theta+b cos^(2)theta=m,b sin^(2)phi+a cos^(2)phi=n,a tan theta=b tan phi, then which of the following is true?

If cos^2 theta- sin^2 theta = tan^2 phi then which of the following is true ?

Eliminate theta and phi if asin^(2)theta + bcos^(2)theta = m, bsin^(2) phi + acos^(2)phi =n and atan theta = btanphi

If atantheta =b ,then acos 2theta+b sin2 theta=

If asin^(2)theta+bcos^(2)theta=c , then prove that tan^(2)theta=(c-b)/(a-c)

If a tan theta=b , then acos2theta+bsin2theta=?

If (a-b) sin(theta + phi)=(a+b) sin(theta- phi) and atan(theta/2)-btan(phi/2)=c, then find the value of sinphi.

If x=acos^(2)theta+bsin^(2)theta and (x-a)(b-x)=c^(2)*sin^(2)theta*cos^(2)theta then c=

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. The maximum value of cos^(2)(cos(33pi + theta))+sin^(2)(sin(45pi+theta...

    Text Solution

    |

  2. If (sin^4x)/2 + (cos^4x)/3=1/5, then

    Text Solution

    |

  3. If asin^2theta+bcos^2theta=m, bsin^2phi+acos^2phi=n, atantheta=btanphi...

    Text Solution

    |

  4. The value of tan((5pi)/12)-tan(pi/12) is

    Text Solution

    |

  5. If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)...

    Text Solution

    |

  6. If tanalpha=(sqrt(3)+1)/(sqrt(3)-1), then the expression cos 2alpha +(...

    Text Solution

    |

  7. If 0 lt theta(2) lt theta(1) lt pi/4, cos (theta(1) + theta(2)) = 3/5 ...

    Text Solution

    |

  8. If sintheta=1/2, cosphi=1/3 then theta+phi belongs to, where 0<theta ,...

    Text Solution

    |

  9. The range of f(theta)=3cos^2theta-8sqrt(3) cos theta sin theta + 5 sin...

    Text Solution

    |

  10. The maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) for real value...

    Text Solution

    |

  11. The value of cos(pi/4)*cos(pi/8)*cos(pi/16)cos(pi/(2^n)) equals

    Text Solution

    |

  12. tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

    Text Solution

    |

  13. tanA +tanB + tanC = tanA tanB tanC if

    Text Solution

    |

  14. The value of sin pi/n + sin (3pi)/n+ sin (5pi)/n+... to n terms is equ...

    Text Solution

    |

  15. underset(r=1)overset(n-1)(sum)cos^(2)""(rpi)/(n) is equal to

    Text Solution

    |

  16. If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal...

    Text Solution

    |

  17. The value of sin (pi/14). sin((3pi)/14). sin( (5pi)/14)………. Sin ((13pi...

    Text Solution

    |

  18. In triangle A B C ,tanA+tanB+tanC=6a n dtanAtanB=2, then the values of...

    Text Solution

    |

  19. let a=cosA+cosb-cos(A+B) and b=4sin(A/2)sin(B/2)cos((A+B)/2) Then a-b ...

    Text Solution

    |

  20. The value of tan^6(15^@)-15tan^4(15^@)+15tan^2(15^@)-3 is

    Text Solution

    |