Home
Class 12
MATHS
The equation k sinx + cos2x= 2k-7 has a ...

The equation `k sinx + cos2x= 2k-7` has a solution if

A

`k gt 6`

B

`2 le k le 6`

C

`k lt 2`

D

`-6 le k le -2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If the equation asinx+cos2x=2a-7 possesses a solution, then find the value of adot

The value of k if the equation 2cosx+cos2k x=3 has only one solution is (a) -2 (b) 2 (c) sqrt(2) (d) 1/2

The number of integer values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is (a)1 (b) 2 (c) 3 (d) 4

For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real solutions?

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 value of k, if x = 2, y =1 is a solution of the equation 2x + 3y = k. Find two more solutions of the resultant equation.

Let f(x)=sin^(-1)x+|sin^(-1)x|+sin^(-1)|x| If the equation f(x) = k has two solutions, then true set of values of k is

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If the equation k sin x + sqrt(k-2)cos x+(tan alpha+cot alpha)=0, 0 lt alpha lt(pi)/(2) , possesses real solution, then k belongs to

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. The number of real roots of the equation |x|^(2)-3|x|+2=0 is

    Text Solution

    |

  2. Let a,b, c be positive real numbers. If (x^(2)-bx)/(ax-c)=(m-1)/(m+1) ...

    Text Solution

    |

  3. The equation k sinx + cos2x= 2k-7 has a solution if

    Text Solution

    |

  4. If z(k)=e^(i thetak) for k= 1, 2, 3, 4 where i^(2)= -1, and if |sum(k=...

    Text Solution

    |

  5. If z=(-1)/(2)+i(sqrt(3))/(2), " then "8+10z+7z^(2) is equal to

    Text Solution

    |

  6. Let z ne 1 be a complex number and let omeg= x+iy, y ne 0. If (omega- ...

    Text Solution

    |

  7. The locus of z such that |(1+iz)/(z+i)|=1 is

    Text Solution

    |

  8. The value of sum(k=0)^(n)(i^(k)+i^(k+1)), where i^(2)= -1, is equal to

    Text Solution

    |

  9. Let z(1)=(2sqrt(3)+ i6sqrt(7))/(6sqrt(7)+ i2sqrt(3))" and "z(2)=(sqrt(...

    Text Solution

    |

  10. If the equation ax^(2)+bx+c=0, a gt 0, has two distinct real roots alp...

    Text Solution

    |

  11. If alpha " and "beta are the distinct roots of ax^(2)+bx+c=0, where a,...

    Text Solution

    |

  12. If the equations x^(2)+ax+bc=0 and x^(2)+bx+ca=0 have a common root an...

    Text Solution

    |

  13. If y= x+(1)/(x), x ne 0, then the equation (x^(2)-3x+1)(x^(2)-5x+1)=6x...

    Text Solution

    |

  14. Let x(1)" and "y(1) be real numbers. If z(1)" and "z(2) are complex nu...

    Text Solution

    |

  15. Let z(1)" and "z(2) be complex numbers such that z(1)+ i(bar(z2))=0" a...

    Text Solution

    |

  16. If z is a complex number such that z+|z|=8+ 12i, then the value of |z^...

    Text Solution

    |

  17. The value of (1)/(i)+(1)/(i^2)+(1)/(i^3)+"……"+(1)/(i^(102) is equal to

    Text Solution

    |

  18. Let the complex numbers z(1),z(2),z(3)" and "z(4) denote the vertices ...

    Text Solution

    |

  19. The quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 has equal ro...

    Text Solution

    |

  20. Let alpha" and "beta be the roots of the equation px^(2)+qx+r=0. If p,...

    Text Solution

    |