Home
Class 11
MATHS
If tanx = (2b)/(a-c) , a ne c, y = a cos...

If `tanx = (2b)/(a-c) , a ne c, y = a cos^2 x + 2b sinx.cos x + c sin^2 x z = a sin^2 x -2b sinx.cos x+"c" cos ^2x` then

A

y = z

B

`y - z = a +c`

C

`y - z = a - c`

D

`y - z = (a-c)^2 + 4b^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|7 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - I) (Straight Objective Type Questions)|22 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I) (Integer Type Questions)|6 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos

Similar Questions

Explore conceptually related problems

Solve sin2x-cos2x=sinx-cosx

sinx + sin^(2) x = 1 rArr cos^(2) x + cos^(4) x=

Solve sin 3x + sin x + 2 cos x = sin 2x + 2 cos^(2)x

sin^(2) x=1-sinx then cos^(4)x+cos^(2)x=

If a sin^(3)x+b cos^(3)x= sin x cos x and a sin x= b cos x then a^(2)+b^(2)=

cos x + cos y + cos z = 0 and sin x + sin y + sin z, then cos ^(2) (( x-y)/( 2)) =

If 4cos^(2)x sin x - 2 sin^(2)x=3sinx , then x =

If 3 cos x ne 2 sin x , then the general solution of sin^(2) x - cos 2x = 2 - sin 2x is x =

(cos x + cos y ) ^(2) + (sin x - sin y ) ^(2) = 4 cos ^(2) ""(x + y )/( 2)

int (a cos^(3)x+b sin^(3)x)/(cos^(2)x sin^(2)x)dx=

AAKASH SERIES-MULTIPLE & SUBMULTIPLE -PRACTICE SHEET (EXERCISE - I) (LEVEL - I) (Straight Objective Type Questions)
  1. If sinbeta is geometric mean between sin alpha and cos alpha , then c...

    Text Solution

    |

  2. (sin3alpha)/(cos2alpha)lt0 if alpha lies in

    Text Solution

    |

  3. If f((2tanx)/(1+tan^2x))=((cos2x+1)(sec^2x+2tanx))/(2) then f(4) =

    Text Solution

    |

  4. The value of sin ^(3) 10^(@) + sin ^(3) 50^(@) - sin ^(3) 70^(@) is eq...

    Text Solution

    |

  5. If sin 2 theta = cos 3 theta and theta is an acute angle, then sin the...

    Text Solution

    |

  6. The value of tan6^@ tan42^@ tan66^@ tan78^@ is

    Text Solution

    |

  7. cos^(6) A + sin^(6) A = 1 - k sin^2 (2A) implies k =

    Text Solution

    |

  8. If 2 tan""(alpha)/2= tan""(beta)/2 then (3+5cos beta)/(5+3cos beta)=

    Text Solution

    |

  9. If cos alpha+cos beta=0=sin alpha+sin beta, then cos 2 alpha+cos 2beta...

    Text Solution

    |

  10. If tanx = (2b)/(a-c) , a ne c, y = a cos^2 x + 2b sinx.cos x + c sin^2...

    Text Solution

    |

  11. If cos theta =(a cos phi+b)/(a+bcosphi) then ("tan"(theta)/2)/("tan"(p...

    Text Solution

    |

  12. If x1 and x2 are two distinct roots of the equation a cos x + bsin x =...

    Text Solution

    |

  13. Let P(x) = ((1- cos 2 x + sin 2x)/(1+ cos2x + sin2x))^(2) + ((1+ cot x...

    Text Solution

    |

  14. If tanalpha = p/q where alpha = 2beta, alpha being an acute angle the...

    Text Solution

    |

  15. If tanx = b//a , then sqrt((a+b)//(a-b))+sqrt((a-b)//(a+b)) is equal t...

    Text Solution

    |

  16. If (1+ tan alpha)(1+ tan 4alpha)=2, alpha in (0, pi//16), then alpha i...

    Text Solution

    |

  17. If cos theta=(cosalpha-cos beta)/(1-cosalpha cos beta), then one of th...

    Text Solution

    |

  18. The value of the expression (1+sin2alpha)/(cos(2alpha-2pi)tan(alpha-(...

    Text Solution

    |

  19. sqrt2 "cosec"20^@ sec20^@ =

    Text Solution

    |

  20. 3sinx+4cosx=5implies6tan""(x)/(2)-9tan^(2)""(x)/(2) =

    Text Solution

    |