Home
Class 12
MATHS
The number of integral values of a for w...

The number of integral values of a for which the equation `cos2x+asinx=2a-7` possesses a solution is

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 25

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 28

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The number of integral values of a for which the equation cos2x+a sin x=2a-7 possessess a solution.

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 equation a sin x+cos2x=2a-7 possesses a solution if

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

f(x)=tan^(-1)x-(2)/(pi)(tan^(-1)x)^(2)+(4)/(pi^(2))(tan^(-1)x)^(3)-....oo, then the sum of integral values of a for which the equation f^(2)(x)+(sin^(-1)x)^(2)=a, possess solution,is:

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 lambda, for which equation 4cos x+3sin x=2 lambda+1 has a solution.

NTA MOCK TESTS-NTA JEE MOCK TEST 27-MATHEMATICS
  1. The number of integral values of a for which the equation cos2x+asinx=...

    Text Solution

    |

  2. Equation of chord AB of the circle x^2+y^2=2 passing through P(2,2) su...

    Text Solution

    |

  3. The value of int(x dx)/((x+3)sqrt(x+1) is (where , c is the constant ...

    Text Solution

    |

  4. If in the expansion of (1 +x)^(m) (1 - x)^(n) , the coefficients ...

    Text Solution

    |

  5. If P = {1,2,3,4,5} and Q = {a,b,c}, then the number of onto functions ...

    Text Solution

    |

  6. Let Z is be the set of integers , if A={"x"inZ:|x-3|^((x^2-5x+6))=1} a...

    Text Solution

    |

  7. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  8. If two points P & Q on the hyperbola ,x^2/a^2-y^2/b^2=1 whose centre i...

    Text Solution

    |

  9. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

  10. The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is

    Text Solution

    |

  11. If 2^(a1),2^(a2),2^(a3).......2^(ar) are in geometric progression , th...

    Text Solution

    |

  12. The solution of the equation |z|-z=1+2i is

    Text Solution

    |

  13. The unbiased dice is tossed until a number greater than 4 appear. W...

    Text Solution

    |

  14. The range of a for which the equation x^2+x-4=0 has its smaller root i...

    Text Solution

    |

  15. If volume of parallelopiped whose there coterminous edges are vec u = ...

    Text Solution

    |

  16. If 5a + 4b + 20 c = t then the value of t for which the line ax+by+c-...

    Text Solution

    |

  17. The solution of the differential equation sin(x+y)dy =dx is

    Text Solution

    |

  18. If f(x)=[x]^({x}) +{x}^([x]) + sin (pix) , Where [.] and {.} represen...

    Text Solution

    |

  19. An aeroplane flying horizontally , 1km above the ground , is observed...

    Text Solution

    |

  20. The sum to infinity of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))...

    Text Solution

    |