Home
Class 12
MATHS
The value of k, for which (cos x+ sin ...

The value of k, for which
`(cos x+ sin x)^(2) +k sin x cos x-1 =0` is an identity, is

A

`-1`

B

`-2`

C

`0`

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHMATICS 2011

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|46 Videos

  • GGSIPU MATHMATICS 2013

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|41 Videos

Similar Questions

Explore conceptually related problems

The values of x for which min(sin x, cos x) > min(-sin x,-cos x) where x in(0,2 pi) equals:

The value of k for which f(x)= {((1-cos 2x )/(x^2 )", " x ne 0 ),(k ", "x=0):} continuous at x=0, is :

The minimum value of sin x((1-cos x)/(sin x)+(sin x)/(1-cos x)) is

The value of (sin x cos y + cos x sin y)^2+(cos x cos y -sin x sin y)^2 is equal to

" The values of "x" for which "min(sin x,cos x)>min(-sin x,-cos x)" where "x in(0,2 pi)" equals: "

Maximum value of cos x((cos x)/(1-sin x)+(1-sin x)/(cos x))

The values of k,for which the system of equations cos x cos2y=(k^(2)-4)^(2)+1 and sin x sin2y=k+2 holds,is (are) given by

The set of value(s) of k for which f(x)=sin x-cos x-kx is decreasing for all values of x ,is

The set of values of x for which sin x*cos^(3)x>cos x*sin^(3)x,0<=x<=2 pi, is NOT satisfied is :

If the function (cos x+K sin x)/(2cos x+3sin x) is decreasing in its domain then K is

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHMATICS 2012-MCQs
  1. The value of 4 sin A cos^(3) A- 4 cos A sin^(3) A is equal to

    Text Solution

    |

  2. If the solutions for theta of Cosptheta + Cosqtheta =0,pgtqgt0 are in...

    Text Solution

    |

  3. The value of k, for which (cos x+ sin x)^(2) +k sin x cos x-1 =0 is...

    Text Solution

    |

  4. If 4 cos^(-1)x + sin^(-1) x = pi , then the value of x is

    Text Solution

    |

  5. A problem in mathematics is given to 3 students whose chances of solvi...

    Text Solution

    |

  6. In a non leap year the probability of getting 53 Sundays or 53 Tuesda...

    Text Solution

    |

  7. The probability for arandomly chosen month to have its 10^(th) day as ...

    Text Solution

    |

  8. If the mean of the numbers 27+x, 31+x, 89+x, 107+x, 156+x is 82, then ...

    Text Solution

    |

  9. If overline X is the mean of a distribution of X, then under usual not...

    Text Solution

    |

  10. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |

  11. If sec((x+y)/(x-y))=a , prove that (dy)/(dx)=y/x .

    Text Solution

    |

  12. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

    Text Solution

    |

  13. For y= cos(m sin^(-1)x), which of the following is true?

    Text Solution

    |

  14. If f (x) = {{:(x + 1 , x le 1), (3 - ax^(2) ,x gt 1):} is continuous ...

    Text Solution

    |

  15. underset(x to (pi)/(2))(lim)(a^(cot x) -a^(cosx))/(cot x- cot x ) is ...

    Text Solution

    |

  16. If f''(0)=k,kne0, then the value of lim(xto0)(2f(x)-3f(2x)+f(4x))/(x^...

    Text Solution

    |

  17. If g is the inversefunction of f and f’ (x ) = (1)/( 1 + x^(n)) then ...

    Text Solution

    |

  18. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) touch each other (b)...

    Text Solution

    |

  19. The velocity in m/s of a particle is proportional to the cube of the t...

    Text Solution

    |

  20. The minimum value of x\ (log)e x is equal to e (b) 1//e (c) -1//e (d) ...

    Text Solution

    |