Home
Class 12
MATHS
Find the no. of integral values of k for...

Find the no. of integral values of k for which the equation `7cosx+5sinx=2k+1` has atleast one solution.

A

4

B

8

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Exercise|190 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Find the no.of integral values of k for which the equation 7cos x+5sin x=2k+1 has atleast one solution.

Find the number of integral values of k for which the equation 7 cos x+5 sin x=2k+1 has at least one solution.

Find the number of integral values of k for which the equation 12cosx - 5 sinx = 2k+1 has a solution.

The number of integral value of k for which the equation 7cos x+5sin x=2k+1 has a solution is

The number of integer values of k, for which the equation 2 sin x =2k+1 has a solution, is

The number of integral values of k for which the equation 7cos x+5sin x=2k+1 has a solution is (1)4(2)8(3)10(4)12

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

Number of integral values of k for which the equation 4cos^(-1)(-|x|)=k has exactly two solutions,is:

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |

  2. If a=tan27theta-tantheta and b=(sin theta)/(cos3theta)+(sin3theta)/(co...

    Text Solution

    |

  3. Find the no. of integral values of k for which the equation 7cosx+5sin...

    Text Solution

    |

  4. If A = sin^2 theta+ cos^4 theta, then for all real values of theta

    Text Solution

    |

  5. The minimum value of f(x)-sin^(4)x+cos^(4)x,0lexle(pi)/(2) is

    Text Solution

    |

  6. The value of sin\ pi/16 sin\ (3pi)/16 sin\ (5pi)/16 sin\ (7pi)/16 is

    Text Solution

    |

  7. If A+B+C=pi then sin2A+sin2B+sin2C=

    Text Solution

    |

  8. The expression tan^2alpha+cot^2alpha is

    Text Solution

    |

  9. If alpha + beta+gamma=pi, prove that sin^2 alpha + sin^ beta - sin^2 g...

    Text Solution

    |

  10. If tan((alphapi)/(4))=cot((betapi)/(4)), then

    Text Solution

    |

  11. The roots of the equation 4x^2-2sqrt5 x +1=0 are .

    Text Solution

    |

  12. The radius of the circle whose are of length 15\ pi cm makes an angle ...

    Text Solution

    |

  13. If (cosA)/(cosB)=n and (sinA)/(sinB)=m,then (m^(2)-n^(2))sin^(2)B=

    Text Solution

    |

  14. If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal...

    Text Solution

    |

  15. If cos(theta+phi)= mcos(theta-phi), then prove that tan theta=(1-m)/(1...

    Text Solution

    |

  16. alpha & beta are solutions of a cos theta+b sin theta=c(cosalpha != ...

    Text Solution

    |

  17. Let n be a positive integer such that sin(pi/2n) + cos(pi/2n) = sqrt(n...

    Text Solution

    |

  18. cos^(4)theta-sin^(4)theta is equal to

    Text Solution

    |

  19. If tan alpha =m/(m+1) and tan beta =1/(2m+1) , then alpha+beta is equa...

    Text Solution

    |

  20. tan alpha+2tan2alpha+4tan4alpha+8cot8alpha is equal to

    Text Solution

    |