Home
Class 12
MATHS
If (sin^(-1) x + sin^(-1) w) (sin^(-1) y...

If `(sin^(-1) x + sin^(-1) w) (sin^(-1) y + sin^(-1) z) = pi^(2)`, then `D = |(x^(N_(1)),y^(N_(2))),(z^(N_(3)),w^(N_(4)))|(N_(1), N_(2), N_(3), N_(4) in N)`

A

has a maximum value of 2

B

has a minimum value of 0

C

16 different D are possible

D

has a minimum value of -2

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|15 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|67 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N_1)y^(N_3)z^(N_3)w^(N_4)|(N_1,N_2,N_3,N_4 in N) has a maximum value of 2 has a maximum value of 0 16 different D are possible has a minimum value of -2

If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N_1)y^(N_3)z^(N_3)w^(N_4)|(N_1,N_2,N_3,N_4 in N) has a maximum value of 2 has a maximum value of 0 16 different D are possible has a minimum value of -2

Sigma_(n=1)^(5)sin ^(-1) ( sin ( 2n -1)) 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 Sigma_(r=1)^(2n) sin^(-1) x^(r )=n pi, then Sigma__(r=1)^(2n) x_(r ) is equal to

If Sigma_( i = 1)^( 2n) sin^(-1) x_(i) = n pi , then find the value of Sigma_( i = 1)^( 2n) x_(i) .

Prove that sin (n+1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x

{x : x =(n-2)/(n+1), n in W}

If X={4^(n)-3n-1 : n in N} and Y={9(n-1) : n in N} , then

If f (n)= 1/pi int _(0) ^(pi//2) (sin ^(2) (n theta) d theta)/(sin ^(2) theta), n in N, then evulate (f (15)+ f (3))/( f (12) -f (10)).

ARIHANT MATHS ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (More Than One Correct Option Type Questions)
  1. Let theta = tan^(-1) ( tan . (5pi)/4) " and " phi = tan^(-1) ( - tan ...

    Text Solution

    |

  2. Let f(x)=e^cos^((-1)){sin(x+pi/3)}dot Then, f((8pi)/9)= e^(5pi//18) ...

    Text Solution

    |

  3. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

    Text Solution

    |

  4. Let f(x) = sin^(-1) x + cos^(-1) x ". Then " pi/2 is equal to

    Text Solution

    |

  5. The solution of sin^(-1)|sin x|=sqrt(sin^(-1)|sin x|) is

    Text Solution

    |

  6. If (sin^(-1) x + sin^(-1) w) (sin^(-1) y + sin^(-1) z) = pi^(2), then ...

    Text Solution

    |

  7. Indicate the relation which can hold in their respective domain for in...

    Text Solution

    |

  8. To the equation 2^(2pi//cos^(-1)x) - (a + (1)/(2)) 2^(pi/cos^(-1)x) -a...

    Text Solution

    |

  9. sin^(-1)(sin 3) + sin^(-1) ( sin 4) + sin^(-1) ( sin 5) when simplif...

    Text Solution

    |

  10. 2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),w h e r ex in R-{-1,1}, is equal to...

    Text Solution

    |

  11. Let f(x) = sin^(-1)|sin x| + cos^(-1)( cos x) . Which of the following...

    Text Solution

    |

  12. If f(x) = sin^(-1) x. cos^(-1) x. tan^(-1) x . cot^(-1) x. sec^(-1) x....

    Text Solution

    |

  13. Let alpha = 3 cos^(-1) (5/sqrt28) + 3 tan^(-1) ( sqrt3/2) " and " beta...

    Text Solution

    |

  14. Let function f(x) be defined as f(x) = |sin^(-1)x| + cos^(-1) (1/x)...

    Text Solution

    |

  15. Which of the following pairs of function are identical?

    Text Solution

    |

  16. The value of Sigma(n=1)^(infty) cot^(-1) ( n^(2) + n +1) is also equa...

    Text Solution

    |

  17. Let f : I - {-1,0,1} to [-pi, pi] be defined as f(x) = 2 tan^(-1) x - ...

    Text Solution

    |

  18. If log x = (-1)/3 , log y = 2/5 " and " P =log ( sin ( arc cos sqrt(1...

    Text Solution

    |