Home
Class 11
MATHS
If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(...

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)inN)`

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

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) Matrix matching type questions )|1 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)|6 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2)z^(2)=

If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi then prove that n xsqrt(1-x^(2))+ysqrt(1-y^(2))+zsqrt(1-z^(2))=2xy z

If n in N, sum_(k=1)^(n)sin^(-1(x_(k))=(npi)/2 then the value of sum_(k=1)^(n)x_(k)=

int_(pi//2)^(pi//2)e^(sin^(2)x).sin^(2n+1)xdx=

Lim_(x to oo)[((n)/(n+1))^(a)+"sin"(1)/(n)]^(n)=

If y = sin(m sin^(-1)x) , then (1-x^(2))y_(2) - xy_(1) is equal to (Here, y_(n) denotes (d^(n)y)/(dx^(n)) )

If x_(n)=cos((pi)/(4^(n)))+i sin ((pi)/(4^(n))) , then x_(1), x_(2), x_(3)....oo is equal to

If D_(r)=|(2^(r-1),2(3^(r-1)),4(5^(4-1))),(x,y,z),(2^(n)-1,3^(n)-1,5^(n)-1)| then sum_(r=1)^(n)D_(r)=

If I_(n) = int sin^(n)x dx , then nI_(n)-(n-1)I_(n-2)=