Home
Class 12
MATHS
The number of real solution of the equat...

The number of real solution of the equation `tan^(-1) sqrt(x^2-3x +2) + cos^(-1) sqrt(4x-x^2 - 3) = pi` is

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation 2sin^-1sqrt((x^2-x+1))+cos^-1sqrt((x^2-x))=(3pi)/2

The number of solution of the equation tan^-1 sqrt(x(x+1)) + sin^-1sqrt(x^2 + x + 1) = pi/2

Find the number of real solutions to the equation 3cos^(-1)x-pix-pi/2=0

The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1)sqrt(x^2+x)=(3pi)/2 is 0 (b) -1 (c) 1 (d) 2

The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3x+4 is

The number of solution(s) of the equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) is/are

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

The number of solutions (s) of the equation sqrt(x+1)-sqrt(x+1)=sqrt(4x+1) is /are -

Find the number of real solutions of the equation sqrt(1 + cos 2x) = sqrt2 cos^-1 (cosx) , where x in [pi/2 , pi]

Solve: tan^(-1)sqrt(x(x+1) + sin^(-1)sqrt(1+x+x^2) = pi/2

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is...

    Text Solution

    |

  2. Evaluate : sec^2(tan^(-1)2)+cosec^2(cot^(-1)3).

    Text Solution

    |

  3. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +2) +...

    Text Solution

    |

  4. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

    Text Solution

    |

  5. If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal ...

    Text Solution

    |

  6. If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then...

    Text Solution

    |

  7. The value of (lim)((n->oo))(tan^(-1)x)' is equal to (a)-1 (b) π / 2...

    Text Solution

    |

  8. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a)(pi/4,(3pi)/4) ...

    Text Solution

    |

  9. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

    Text Solution

    |

  10. Range of tan^(-1)((2x)/(1+x^2)) is (a)[-pi/4,pi/4] (b) (-pi/2,pi/2...

    Text Solution

    |

  11. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

    Text Solution

    |

  12. The value of x for which sin(cot^-1(1+x))=cos(tan^-1x) is

    Text Solution

    |

  13. The greatest and least values of (sin^-1x)^3+(cos^-1x)^3 are

    Text Solution

    |

  14. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

    Text Solution

    |

  15. If 0 lt x lt 1, then sqrt(1+x^2)[{xcos(cos^-1x)+sin(cot^-1x)}^2-1]^(1/...

    Text Solution

    |

  16. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

    Text Solution

    |

  17. The number of solution of the equation tan^-1 sqrt(x(x+1)) + sin^-1sqr...

    Text Solution

    |

  18. Which of the following quantities is/are positive ? a.cos (tan^(-1) (t...

    Text Solution

    |

  19. Which of the following is/are a rational number? a. sin(tan^(-1)3+tan...

    Text Solution

    |

  20. If sin^-1(x - x^2/2 + x^3/4 - ..... infty) + cos^-1 (x^2 - x^4/2 + x^6...

    Text Solution

    |