Home
Class 12
MATHS
If alpha,beta(alpha<beta) are the roots ...

If `alpha,beta(alpha

A

`cos^(-1) alpha`

B

`sin^(-1) beta`

C

`cosec^(-1) alpha`

D

Both `cot^(-1) alpha and cot^(-1) beta`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D

`6x^(2) + 11x + 3 = 0`
or `(2x + 3) (3x + 1) = 0`
or `x = -3//2, -1//3`
For `x = -3//2, cos^(-1) x` is not defined as domain of `cos^(-1) x` is `9-1, 1] and " for " x = -1//3, cosec^(-1) x` is not defined as domain of `cosec^(-1)x " is " R -(-1, 1)`. However, `cot^(-1) x` is defined for both of these values as domain of `cot^(-1) x " is " R`
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

Let g(x)=cos^2 x,f(x)=sqrtx and alpha,beta (alpha

Write each of the following expressions in terms of alpha+beta and alphabeta . (alpha+3)/(beta)+(beta+3)/(alpha)

Write each of the following expressions in terms of alpha+beta and alphabeta . (alpha)/(3beta)+(beta)/(3beta)

Three parallel chords of a circle have lengths 2,3,4 units and subtend angles alpha,beta,alpha+beta at the centre, respectively (alphaltbetaltpi), then find the value of cosalpha

Write each of the following expressions in terms of alpha+beta and alphabeta . (3alpha-1)(3beta-1)

If alphaa n dbeta(alpha

If alpha,beta,gamma are the roots of a x^3+b x^2+c x+d=0a n d|alpha beta gamma beta gamma alpha gamma alpha beta|=0,alpha!=beta!=gamma then find the equation whose roots are alpha+beta-gamma,beta+gamma-alpha,a n dgamma+alpha-betadot

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If f(x)=sin^(-1)((sqrt(3))/2x-1/2sqrt(1-x^2)),-1/2lt=xlt=1,t h e nf(x)...

    Text Solution

    |

  2. If 2^2pi//sin^((-1)x)-2(a+2)^pi//sin^((-1)x)+8a<0 for at least one rea...

    Text Solution

    |

  3. If alpha,beta(alpha<beta) are the roots of the equation 6x^2+11 x+3=0 ...

    Text Solution

    |

  4. 2 tan^(-1) (-2) is equal to

    Text Solution

    |

  5. Which of the following is/are the value of "cos"[1/2cos^(-1)(cos(-(14p...

    Text Solution

    |

  6. Which one of the following is not a rational number ?

    Text Solution

    |

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

    Text Solution

    |

  8. If x<0,t h e ntan^(-1)x is equal to -pi+cot^(-1)1/x (b) sin^(-1)x/(sq...

    Text Solution

    |

  9. If -1<x<0,t h e ncos^(-1)x is equal to sec^(-1)1/x (b) pi-sin^(-1)sqr...

    Text Solution

    |

  10. If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N1)y^(N...

    Text Solution

    |

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

    Text Solution

    |

  12. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible v...

    Text Solution

    |

  13. If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible v...

    Text Solution

    |

  14. The value of k(k >0) such that the length of the longest interval in w...

    Text Solution

    |

  15. Which of the following pairs of function/functions has same graph? y=...

    Text Solution

    |

  16. If sin^(-1)x-cos^(-1)x=(pi)/(6),"then"

    Text Solution

    |

  17. If cos^(-1) x + cos^(-1) y + cos ^(-1) z = pi and 0 lt x,y,z lt 1 sh...

    Text Solution

    |

  18. If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x , then x i...

    Text Solution

    |

  19. If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n the...

    Text Solution

    |

  20. If 2tan^(-1)x+sin^(-1)(2x)/(1+x^2) is independent of x , then

    Text Solution

    |