Home
Class 12
MATHS
Let |[tan^(-1)x,tan^(-1)2x,tan^(-1)3x],[...

Let `|[tan^(-1)x,tan^(-1)2x,tan^(-1)3x],[tan^(-1)3x,tan^(-1)x,tan^(-1)2x],[tan^(-1)2x,tan^(-1)3x,tan^(-1)x]|`=0 , then the number of values of `x` satisfying the equation is (a) 1 (b) 2 (c) 3 (d) 4

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

Solve tan^(-1)x+sin^(-1)x=tan^(-1)2xdot

If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1)6/x , then the value of x^4 is_____.

If tan^(-1)(3)+tan^(-1)(x)=tan^(-1)(8)," then "x=

If sin^(-1)((1)/(2))=tan^(-1)x, then find the value of x.

The number of real values of x satisfying tan^-1(x/(1-x^2))+tan^-1 (1/x^3) = (3 pi)/4 is

Solve, tan^(-1) (x+1)+tan^(-1) (x-1)=tan^(-1)""4/7

Prove that 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x)=tan^(-1)x(x!=0)dot

If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/(x))=tan^(-1)(-7), then x is

If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi,t h e nx^4+y^2+z^4+4x^2y^2z^2=K(x^...

    Text Solution

    |

  2. If f(x)=sin^(-1)((sqrt(3))/2x-1/2sqrt(1-x^2)),-1/2lt=xlt=1,t h e nf(x)...

    Text Solution

    |

  3. Let |[tan^(-1)x,tan^(-1)2x,tan^(-1)3x],[tan^(-1)3x,tan^(-1)x,tan^(-1)2...

    Text Solution

    |

  4. If x1=2tan^(-1)((1+x)/(1-x)),x2=sin^(-1)((1-x^2)/(1+x^2)) , where x in...

    Text Solution

    |

  5. If u=cot^(-1)sqrt(tanalpha)-tan^(-1)sqrt(tanalpha),t h e ntan(pi/4- u/...

    Text Solution

    |

  6. If the equation x^3+b x^2+c x+1=0,(bltc), has only one real root alpha...

    Text Solution

    |

  7. The value of sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2)] is equal to

    Text Solution

    |

  8. Which of the following is the solution set of the equation 2cos^(-1)x=...

    Text Solution

    |

  9. The number of solution of equation sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2,w ...

    Text Solution

    |

  10. Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x...

    Text Solution

    |

  11. Let f:[0,4pi]->[0,pi] be defined by f(x)=cos^-1(cos x). The number ...

    Text Solution

    |

  12. The principal value of sin^(-1)(sin((2pi)/3)) is (a)-(2pi)/3 (b) (2pi...

    Text Solution

    |

  13. If sec^(-1)x=cos e c^(-1)y , then find the value of cos^(-1)1/x+cos^(-...

    Text Solution

    |

  14. If alpha=sin^(-1)(cos(sin^(-1)x))a n dbeta=cos^(-1)("sin"(cos^(-1)x)),...

    Text Solution

    |

  15. If sin(sin^(-1)1/5+cos^(-1)x)=1, then find the value of x.

    Text Solution

    |

  16. If sin^(-1)x=pi/5,forsom ex in (-1,1), then find the value of cos^(-1)...

    Text Solution

    |

  17. Prove that 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x)=tan^(-1)x(x!=0)dot

    Text Solution

    |

  18. Find the value of sin^(-1)(sin5)+cos^(-1)(cos10)+tan^(-1){tan(-6)}+cot...

    Text Solution

    |

  19. Solve sin^(-1)(14)/(|x|)+sin^(-1)(2sqrt(15))/(|x|)=pi/2

    Text Solution

    |

  20. Find the minimum value of (sec^(-1)x)^2+("c o s e c"^(-1)x)^2

    Text Solution

    |