Home
Class 11
MATHS
If sin alpha + cos alpha = b, then sin 2...

If sin `alpha + cos alpha `= b, then sin 2`alpha` is equal to

A

` b^(2) - 1 , " if " b le sqrt(2)`

B

`b^(2) - 1 , " if " gt sqrt(2)`

C

`b^(2) - 1 , " if " b ge 1 `

D

`b^(2) - 1 , " if " b ge sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
`b^(2) - 1 , " if " le sqrt(2)`
Promotional Banner

Topper's Solved these Questions

  • SURAS MODAL QUESTION PAPER-1 MATHEMATICS

    SURA PUBLICATION|Exercise Section-II|11 Videos

  • SURAS MODAL QUESTION PAPER-1 MATHEMATICS

    SURA PUBLICATION|Exercise Section-III|10 Videos

  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D) (MARKS 5)|11 Videos

  • SURAs MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise PART-IV|11 Videos

Similar Questions

Explore conceptually related problems

IF tan alpha = ( sin alpha - cos alpha )/( sin alpha + cos alpha) , then sin alpha + cos alpha is

If x sin ^3 alpha + y cos^3 alpha = sin alpha cos alpha and x sin alpha - y cos alpha =0 , then x^2 +y^2 is

if cos alpha + sin alpha = 3/4 , then sin ^6 alpha + cos ^6 alpha =

The sides of a triangle are sin alpha , cos alpha and sqrt( 1+ sin alpha cos alpha ) for some 0 lt alpha lt pi/2 then the greater angle of the triangle is

If n=1,2,3,……. then cos alpha cos 2 alpha cos 4 alpha ……. Cos 2^(n-1) alpha is equal to

If cos alpha + cos beta =0 = sin alpha + sin beta , then cos 2 alpha + cos 2 beta is equal to

If y = (2 sin alpha )/(1 + cos alpha + sin alpha) then, prove that (1 - cos alpha + sin alpha)/(1 + sin alpha) = y .

"Evaluate "Delta ={:[( 0 , sin alpha ,-cos alpha ) ,( -sin alpha , 0 , sin beta ),( cos alpha , -sin beta , 0)]:}

Prove that 2 sin^2 beta + 4 cos(alpha + beta) sin alpha sin beta + cos 2(alpha + beta) = cos 2alpha

SURA PUBLICATION-SURAS MODAL QUESTION PAPER-1 MATHEMATICS -Section-IV
  1. If sin alpha + cos alpha = b, then sin 2alpha is equal to

    Text Solution

    |

  2. The formula for converting from Fahrenheit to Celsius temperatures is ...

    Text Solution

    |

  3. If cos (alpha - beta) + cos (beta - gamma) + cos (gamma - alpha) = (-3...

    Text Solution

    |

  4. By the principle of mathematical induction , prove that for n ge 1

    Text Solution

    |

  5. By the principle of mathematical induction, prove that, for nge1 1^(3)...

    Text Solution

    |

  6. Find the sum up to the 17^(th) term of the series (1^3)/(1) + (1^3 + 2...

    Text Solution

    |

  7. A ray of light coming from the point (1,2) is reflected at a point A o...

    Text Solution

    |

  8. Solve |(4-x,4+x,4+x),(4+x,4-x,4+x),(4+x,4+x,4-x)|=0

    Text Solution

    |

  9. Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+...

    Text Solution

    |

  10. Show that the following vectors are co-planar (ii) 5hati+6hatj+7hatk,7...

    Text Solution

    |

  11. Examine the continuity of the following : x + sinx

    Text Solution

    |

  12. Examine the continuity of the following: x^2 cos x

    Text Solution

    |

  13. Examine the continuity of the following: e^x tan x

    Text Solution

    |

  14. Examine the continuity of the following: e^(2x)+x^2

    Text Solution

    |

  15. Examine the continuity of the following: x. ln x

    Text Solution

    |

  16. Find the derivative with tan^(-1) ((sinx )/(1 + cos x)) with respect t...

    Text Solution

    |

  17. (1)/(sqrt(x+3)-sqrt(x-4))

    Text Solution

    |

  18. A firm manufactures PVC pipes in three plants viz, X,Y and Z. The dail...

    Text Solution

    |

  19. A firm manufactures PVC pipes in three plants viz, X ,Y and Z . The de...

    Text Solution

    |

  20. Evaluate int (x^(2) + 5x + 3)/(x^(2) + 3x + 2) dx

    Text Solution

    |

  21. Solve: sqrt(x + 5) + sqrt(x + 21) = sqrt(6x + 40)

    Text Solution

    |