Home
Class 12
MATHS
If a cos theta+ b sin theta= c then fin...

If ` a cos theta+ b sin theta= c` then find the quadratic equation whose root are `sin^(2) alpha and sin^(2) beta`

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2)+b^(2))x^(2)-2(b^(2)c^(2)+a^(2)+a^(4)-c^(2)-a^(2))x+(c^(2)-a^(2))=0`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

If alpha,beta roots of ax^2+bx+c =0. Find the quadratic equation whose roots are : 2alpha,2beta

If 2 sin theta cos theta = 1 , then find the value of sin theta-cos theta .

If cos^2 theta-sin^2 theta= 1/2 then cos^4 theta-sin^4 theta=?

If a cos theta+b sin theta = c then show that a sin theta- b cos theta= +- sqrt(a^2+b^2-c^2)

If cos theta + sin theta = sqrt2 cos theta , then cos theta - sin theta is___

If (a^2-b^2)sin theta+ 2ab cos theta = a^2+b^2 then find the value of tan theta .

If" " alpha " and " beta " satisfy the equation " a cos 2 theta + b sin 2 theta = c " then show that " cos^(2) alpha + cos ^(2)beta =1 + (ac)/(a^(2) + b^(2))

If cos theta+sin theta = sqrt2 cos theta , then show cos theta-sin theta = sqrt2 sin theta .

If (sin theta+cos theta)/(sin theta- cos theta) = 3/2 then cos theta =

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. Eliminate x and y from the following equations : a sin ^(2)+ b cos^(2)...

    Text Solution

    |

  2. Find the root of equation 2x^2+3 x + 11=0.

    Text Solution

    |

  3. If a cos theta+ b sin theta= c then find the quadratic equation whose...

    Text Solution

    |

  4. If alpha=(2pi)/(7) then prove that sin alpha sin 2 sin 4 alpha =-(sqrt...

    Text Solution

    |

  5. If A,B,C are the angles of a triangle, show that that greatest value o...

    Text Solution

    |

  6. If A,B,C are the angles of a triangle, find the maximum values of : ...

    Text Solution

    |

  7. If A,B,C are the angles of a triangle, find the maximum values of : ...

    Text Solution

    |

  8. If A,B,C are the angles a triangle, prove that cos A+ cos B+ cos C le ...

    Text Solution

    |

  9. If A,B,C are the angles of a triangle, prove that the maximum value of...

    Text Solution

    |

  10. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

    Text Solution

    |

  11. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

    Text Solution

    |

  12. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

    Text Solution

    |

  13. Show that (1)/(3) lt (sec^(2) theta - tan theta)/( sec^(2) theta+ tan ...

    Text Solution

    |

  14. Find the minimum values of: "tan"^(2)(A)/(2)+ "tan"^(2) (B)/(2)+"ta...

    Text Solution

    |

  15. Find the minimum values of: cot^(2)A+cot^(2)B+ cot ^(2)C where A,...

    Text Solution

    |

  16. Find the minimum values of: 4sinA+3cosA

    Text Solution

    |

  17. Find the minimum values of: "sin" ^(2) (A)/(2)+"sin"^(2)(B)/(2) +"si...

    Text Solution

    |

  18. If A+B+C= pi and "tan" (B+C-A)/(4) "tan" (C+A-B)/(4) *"tan" (A+B-C)/(4...

    Text Solution

    |

  19. Prove that, |{:(6a,a,a),(12b,2b,2b),(9c,c,-2c):}|=0

    Text Solution

    |

  20. If cos alpha+ cos beta= a sin alpha+ sin beta=b, then show that "ta...

    Text Solution

    |