Home
Class 12
MATHS
If the equation cot^4x-2cos e c^2x+a^2=0...

If the equation `cot^4x-2cos e c^2x+a^2=0` has at least one solution, then the sum of all possible integral values of a is equal to a. 4 b. 3 c. 2 d. 0

A

-1

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • COMPOUND ANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Matching Type Problems|5 Videos

  • COMPOUND ANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|31 Videos

  • COMPLEX NUMBERS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|24 Videos

Similar Questions

Explore conceptually related problems

The equation tan^4x-2sec^2x+a=0 will have at least one solution if

If the equation ln (x^(2) +5x ) -ln (x+a +3)=0 has exactly one solution for x, then possible integral value of a is:

If the equation ln (x^(2) +5x ) -ln (x+a +3)=0 has exactly one solution for x, then possible integral value of a is:

If the equation x^(2)+4+3sin(ax+b)-2x=0 has at least one real solution, where a,b in [0,2pi] then one possible value of (a+b) can be equal to

If 5x^2-2kx+1 < 0 has exactly one integral solution which is 1 then sum of all positive integral values of k.

The equation cos^(4)x-sin^(4)x+cos2x+alpha^(2)+alpha=0 will have at least one solution, if

The number of positive integral solutions of x^4-y^4=3789108 is a. 0 b. 1 c. 2 d. 4

The equation tan^4x-2sec^2x+a=0 will have at least one solution if 1

If a, b in (0, 2) and the equation (2x^2+5)/2 = x - 2cos(ax + b) has at least one solution then

0 le a le 3, 0 le b le 3 and the equation, x^(2)+4+3 cos ( ax+b) = 2x has atleast one solution, then find the value of (a+b) .

VIKAS GUPTA (BLACK BOOK) ENGLISH-COMPOUND ANGLES-Exercise-2 : One or More than One Answer is/are Correct
  1. cot12^(@)*cot 24^(@)*cot28^(@)*cot32^(@)*cot48^(@)*cot88^(@)=…….. i)...

    Text Solution

    |

  2. If the equation cot^4x-2cos e c^2x+a^2=0 has at least one solution, th...

    Text Solution

    |

  3. Which of the following is/are true ?

    Text Solution

    |

  4. Which of the following is/are +ve ?

    Text Solution

    |

  5. If sin alpha +cos alpha =(sqrt(3)+1)/(2), 0 lt alpha lt 2pi, then poss...

    Text Solution

    |

  6. If 3 sin beta= sin( 2alpha+beta), then

    Text Solution

    |

  7. If sin(x+20^0)=2sinxcos40^0,w h r ex in (0,pi/2), then which of the fo...

    Text Solution

    |

  8. If 2(cos(x-y)+cos(y-z)+cos(z-x))=-3, then :

    Text Solution

    |

  9. If 0 lt x lt pi/2 and sin^(n) x + cos^(n) x ge 1, then

    Text Solution

    |

  10. If x=sin(alpha-beta)*sin(gamma-delta), y=sin(beta-gamma)*sin(alpha-de...

    Text Solution

    |

  11. If x = X cos theta- Y sin theta, y = X sin theta + Y cos theta and x^2...

    Text Solution

    |

  12. If 2a=2tan10^(@)+tan50^(@), 2b=tan20^(@)+tan50^(@) 2c=2tan10^(@)+tan...

    Text Solution

    |

  13. Which of the following real numbers when simplified are neither termi...

    Text Solution

    |

  14. If a=sinxcos^3x and b=cosxsin^3x then

    Text Solution

    |

  15. If (pi)/(2) lt theta lt pi, then possible answers of sqrt(2+sqrt(2+2c...

    Text Solution

    |

  16. If cot^(3)alpha+cot^(2)alpha+cot alpha=1 then which of the following...

    Text Solution

    |

  17. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...

    Text Solution

    |

  18. If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be

    Text Solution

    |

  19. If x in (0, (pi)/(2)) and sinx=(3)/(sqrt(10)), Let k=log(10)sinx+log...

    Text Solution

    |

  20. If A, B, C are angles of Delta ABC and tan A tan C = 3, tan B tan C =...

    Text Solution

    |