Home
Class 12
MATHS
The trignometric equation sin^(-1)x = 2 ...

The trignometric equation `sin^(-1)x = 2 sin^(-1)a` has a solution for

A

all real values of a

B

`|a| le 1//sqrt(2)`

C

`|a| ge 1//sqrt(2)`

D

`1//2 |a| lt 1//sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS |3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|10 Videos

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • JEE ( MAIN) 2020 QUESTIONS (9TH JAN-MORNING)

    MCGROW HILL PUBLICATION|Exercise JEE (Main) 2020 Questions with Solution Mathematics (9th Jan - Morning)|25 Videos

Similar Questions

Explore conceptually related problems

The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all real values (b) |a|<(1)/(a)|a|<=(1)/(sqrt(2))( d) (1)/(2)<|a|<(1)/(sqrt(2))

The trigonometric equation sin^(-1)x=2 sin^(-1)2a has a real solution, if

The equation sin^(-1)x=2sin^(-1)alpha has a solution

If the trigonometric equation tan^(-1)x=2sin^(-1)a has a solution, then the complete set of values of a is

The equation sin^(-1)x - 3sin^(-1)a =0 has real solutions for x if

The solution set of the equation sin^(-1)x=2 tan^(-1)x is

MCGROW HILL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEEE MAIN PAPERS
  1. cot^(-1)[(cos alpha)^(1//2)]-tan^(-1)[(cos alpha)^(1//2)]=x then sin x...

    Text Solution

    |

  2. The trignometric equation sin^(-1)x = 2 sin^(-1)a has a solution for

    Text Solution

    |

  3. If cos^(-1)x - cos^(-1)(y//2) = alpha, then 4x^(2) - 4xy cos alpha + y...

    Text Solution

    |

  4. If sin^(-1)(x//5) + "cosec"^(-1)(5//4) = pi//2 then a value of x is

    Text Solution

    |

  5. The value of cot ("cosec"^(-1)(5//3) + tan^(-1)(2//3)) is

    Text Solution

    |

  6. If x,y,z are in A.P and tan^(-1)x, tan^(-1)y, tan^(-1)z are also in A....

    Text Solution

    |

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

    Text Solution

    |

  8. The number of solutions of the equation sin^(-1)x = 2tan^(-1)x (in pr...

    Text Solution

    |

  9. If S = tan^(-1)1/(x^(2) + x+1) + tan^(-1)1/(x^(2) + 3x + 3) +…………. + t...

    Text Solution

    |

  10. The principal value of tan^(-1)(cot (43pi)/4) is:

    Text Solution

    |

  11. Let tan^(-1)y = tan^(-1)x + tan^(-1)((2x)/(1-x^(2))) where |x| lt 1/sq...

    Text Solution

    |

  12. If f(x) = 2 tan^(-1)x + sin^(-1)((2x)/(1+x^(2))), x gt 1, then f(5) is...

    Text Solution

    |

  13. Considering only the principal values of the inverse functions, the se...

    Text Solution

    |

  14. All x satisfying the inequality (cot^(-1)x)^(2) - 7(cot^(-1)x) +10 gt ...

    Text Solution

    |

  15. The value of cot(sum(n=1)^(19)(1+ sum(p=1)^(n) sum 2p)) is:

    Text Solution

    |

  16. If x = sin^(-1)(sin 10) and y = cos^(-1)(cos 10) then y - x is equal t...

    Text Solution

    |

  17. If cos^(-1)(2/(2x)) + cos(3/(4x)) =pi/2, (x gt 3/4), then x is equal t...

    Text Solution

    |

  18. The value of sin^(-1)(12/13) - sin^(-1)(3/5) is equal to

    Text Solution

    |

  19. If cos^(-1)x - cos^(-1)(1/2y) = alpha, -1 le x le 1, -2 le y le 2, x l...

    Text Solution

    |

  20. If alpha = cos^(-1)(3/5), beta = tan^(-1)(1/3), where 0 lt alpha, beta...

    Text Solution

    |