Home
Class 12
MATHS
The least value of a for which the equat...

The least value of `a` for which the equation `4/(sinx)+1/(1-sinx)=a` has at least one solution in the interval `(0,pi/2)` 9 (b) 4 (c) 8 (d) 1

A

`4

B

1

C

3

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|47 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

The least value of 'a' for which the equation 4/(sinx)+1/(1-sinx)=a has at least one solution in the interval (0,pi//2) , is

The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a has at least one solution in the interval (0,pi/2) (a) 9 (b) 4 (c) 8 (d) 1

If 4a+2b+c=0 , then the equation 3ax^(2)+2bx+c=0 has at least one real lying in the interval

The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has at least one solution AAx in [0,pi//4] a in (2,3) b. a in [2,3] c. a in (1,4) d. a in [1,4]

The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has at least one solution AAx in [0,pi//4] a) a in (2,3) b. a in [2,3] c. a in (1,4) d. a in [1,4]

Find the number of integral value of n so that sinx(sinx+cosx)=n has at least one solution.

If 3sinx+4cosa x=7 has at least one solution, then find the possible values of adot

If 3sinx+4cosa x=7 has at least one solution, then find the possible values of adot

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

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

OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Chapter Test
  1. Find the least value of the expressions 2log(10)x-log(x)0.01, where xg...

    Text Solution

    |

  2. The maximum value of the function f(x) given by f(x)=x(x-1)^2,0ltxlt...

    Text Solution

    |

  3. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a has ...

    Text Solution

    |

  4. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

    Text Solution

    |

  5. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  6. Find the maximum value of 4sin^(2)x+3cos^(2)x+sin""(x)/(2)+cos""(x)/(2...

    Text Solution

    |

  7. The least value of the f(x) given by f(x)=tan^(-1)x-1/2 logex " in t...

    Text Solution

    |

  8. The slope of the tangent to the curve y=e^x cosx is minimum at x= a,0 ...

    Text Solution

    |

  9. The value of a for which the function f(x)={{:(tan^(-1)a -3x^2" , " ...

    Text Solution

    |

  10. The minimum value of 27^(cos3x)81^(sin3x) is

    Text Solution

    |

  11. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  12. f(x) = |x|+|x-1| +|x-2|, then which one of the following is not correc...

    Text Solution

    |

  13. Write the maximum value of f(x)=(logx)/x , if it exists.

    Text Solution

    |

  14. The function f(x)=2x^(3)-3x^(2)-12x-4 has

    Text Solution

    |

  15. In (-4,4) the function f(x)=int(-10)^x (t^2-4)e^(-4t) dt , has

    Text Solution

    |

  16. On [1,e] the greatest value of x^2logex, is

    Text Solution

    |

  17. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  18. If f:R to R be defined by f(x) =2x + cosx, then f

    Text Solution

    |

  19. The maximum distance from origin of a point on the curve x=asint-bsin(...

    Text Solution

    |

  20. The maximum value of x^(1/x),x >0 is e^(1/e) (b) (1/e)^e (c) 1 (d) non...

    Text Solution

    |