Home
Class 12
MATHS
If the number of solutions of sin^-1 x+...

If the number of solutions of `sin^-1 x+|x|=1 cos^-1 x+|x|=1, tan^-1 x+|x|=1, cot^-1x+|x|=1, sec^-1 x+|x|=1 and cosec^-1 x+|x|=1` are `n_1,n_2,n_3,n_4,n_5,n_6` respectively, then the value of `n_1+n_2+n_3+n_4+n_5+n_6` is

A

6

B

7

C

8

D

9

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - C)(OBJECTIVE TYPE QUESTIONS (MORE THAN ONE OPTIONS ARE CORRECT))|13 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D)(LINKED COMPREHENSION TYPE QUESTIONS)|9 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|45 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

If the number of solutions of sin^(-1)x+|x|=1cos^(-1)x+|x|=1,tan^(-1)x+|x|=1,cot^(-1)x+|x|=1,sec^(-1)x+|x|=1 and cos ec^(-1)are n_(1),n_(2),n_(3),n_(4),n_(5),n_(6) respectively,then then then then the value of n_(1)+n_(2)+n_(3)+n_(4)+n_(5)+n_(5) is

f(x)=(x^(n)-1)/(x-1),x!=1 and f(x)=n^(2),x=1 continuous at x=1 then the value of n

Integral of the form tan^(2m+1) x sec^(2n+1) x or cot^(2m+1) x cosec^(2n+1) x m ,n are natural number

If x!=n and cot^(-1)x+cot^(-1)(n^(2)-x+1)=cot^(-1)(n-1) then x=

If ((243)^((n)/(5))3^(2n+1))/(9^(n)3^(n-1))=x, then the value of x is

If (sin^(-1)x+sin^(-1)y)(sin^(-1)Z+sin^(-1)w)=pi^(2) and n_(1),n_(2),n_(3),n_(4) in N value of |(x^(n1),y^(n2)),(z^(n)3,w^(n4))| cannot be equal to

If ((1 +i)/(1 -i))^(x) =1 , then (A) x=2n+1 (B) x=4n (C) x=2n (D) x=4n+1, n in N.

If A = {x : x = 6^n - 5n - 1, n in N} and B = {x : x = 25(n - 1), n in N} , then

Solve for x the equation |(a^(2),a,1),(sin(n+1)x,sin nx,sin(n-1)x),(cos(n+1)x,cosn x,cos(n-1)x)|=0

AAKASH INSTITUTE-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. If x1,x2,x3,x4,x5,x6 all are independent then the maximum and minimum ...

    Text Solution

    |

  2. Select the wrong option

    Text Solution

    |

  3. If the number of solutions of sin^-1 x+|x|=1 cos^-1 x+|x|=1, tan^-1 x...

    Text Solution

    |

  4. Let xi in [-1,1]" for "i=1,2,3,…24, such that sin^(-1)x1+sin^(-1)x2+…+...

    Text Solution

    |

  5. sin^(-1)(-(1/2))+cos^(-1)(-(1/2))+cot^(-1)(-sqrt3)+cosec^(-1)(sqrt2)+t...

    Text Solution

    |

  6. Let [] represents the greatest integer function and [cos^(-1)sin^(-1)t...

    Text Solution

    |

  7. The value of cos^(-1)(cos(5pi)/3)+sin^(-1)(sin(5pi)/3) is pi/2 (b) (5p...

    Text Solution

    |

  8. How many solutions does the equation 5 tan^-1 x+3 cot^-1 x=2pi have ?

    Text Solution

    |

  9. The equation sin^-1x-cos^-1x=cos^-1(sqrt3/2) has

    Text Solution

    |

  10. If (tan^(-1) x)^2 + (cot^(-1) x)^2 = (5pi^2)/8 then x equals

    Text Solution

    |

  11. Let cos^-1 (x/2)+cos^-1 (y/3)=theta and denote by f(x,y,theta)=0 the r...

    Text Solution

    |

  12. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi, then 1/(xy)+1/(yz)+1/(zx)=

    Text Solution

    |

  13. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is

    Text Solution

    |

  14. If a,b,c are real positive numbers and theta =tan^(-1)[(a(a+b+c))/(bc)...

    Text Solution

    |

  15. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

    Text Solution

    |

  16. If alpha= tan^-1 ((sqrt3 x)/(2lamda-x)), beta= tan^-1 ((2x-lamda)/(lam...

    Text Solution

    |

  17. The value of tan[1/2cos^(-1).sqrt5/3] is

    Text Solution

    |

  18. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

    Text Solution

    |

  19. The value of cos (2Cos^-1 0.8) is

    Text Solution

    |

  20. Find the value of 4 tan^-1 (1/5) - tan^-1 (1/239)

    Text Solution

    |