Home
Class 12
MATHS
If tan alpha ,tan beta are th roots of...

If `tan alpha ,tan beta ` are th roots of the eqution `x^2+px+q=0 (p != 0)` Then `sin^2(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+qcos^2(alpha+beta)=`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equations x^2-p(x+1)-c=0 , then (alpha+1)(beta+1)_ is equal to:

If alpha and beta are the roots of the equation x^2+x+1=0 , then alpha^2+beta^2 is equal to:

If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , then alpha^(2009)+beta^(2009)=

If alpha, beta, gamma are the roots of the equatiion x^(3)-px^(2)+qx-r=0 find sumalpha^(2) beta

If alpha and beta is the root of the equation x^2-3x+2=0 then find the value of alpha^2 + beta^2

If tan "" (alpha )/(2) and tan "" (beta)/( 2) are the roots of the equation 8x ^(2) -26x + 15 =0, then find the value of cos (alpha + beta).

Using vectors prove that sin(alpha - beta) = sin alpha cos beta- cos alpha sin beta .

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

If alpha and beta are the roots of the quadratic equation x^2+4x+3=0 , then the equation whose roots are 2 alpha+ beta are alpha+2 beta is :

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. The value of the expression sum(theta =0)^8 1/(1 + tan^3 (10theta)^@) ...

    Text Solution

    |

  2. the value of sqrt(1-sin^2 11 0^(@))*sec11 0^(@)

    Text Solution

    |

  3. If tan alpha ,tan beta are th roots of the eqution x^2+px+q=0 (p !=...

    Text Solution

    |

  4. sin(pi/2^2009)cos(pi/2^2009)cos(pi/2^2008).....cos(pi/2^2) is

    Text Solution

    |

  5. If tanB= (nsinA cosA)/(1-ncos^2A)then tan(A +B) equals

    Text Solution

    |

  6. If P=(tan(3^(n+1)theta)-tan theta) and Q=sum(r=0)^(n) (sin(3^(r )theta...

    Text Solution

    |

  7. Find the value of (cos^(4)1^(@)+cos^(4)2^(@)+cos^(4)3^(@)+......+cos^(...

    Text Solution

    |

  8. Suppose that 'a' is a non-zero real number for which sin x+sin y=a and...

    Text Solution

    |

  9. Let P(x)=sqrt(( cosx +cos2x+cos3x)^2+ (sin x + sin 2x+sin3x)^2) then P...

    Text Solution

    |

  10. If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cose...

    Text Solution

    |

  11. Let fn(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+...

    Text Solution

    |

  12. The minimum value of |sinx+cosx+(cosx+sinx)/(cos^(4)x-sin^(4)x)| is

    Text Solution

    |

  13. If a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi) then a. ...

    Text Solution

    |

  14. In a Delta ABC, the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/...

    Text Solution

    |

  15. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

    Text Solution

    |

  16. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

    Text Solution

    |

  17. An equilateral triangle has side length 8. The area of the region cont...

    Text Solution

    |

  18. If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3a...

    Text Solution

    |

  19. If AD is the altitude on BC and AD produced meets the circumcircle of ...

    Text Solution

    |

  20. One side of a rectangular piece of paper is 6 cm, the adjacent sides b...

    Text Solution

    |