Home
Class 12
MATHS
If tan^(-1).(x)/(pi)le (pi)/(6), then th...

If `tan^(-1).(x)/(pi)le (pi)/(6)`, then the maximum vlaue of `sqrt3x` is `("Use "pi=3.14)`

Text Solution

Verified by Experts

The correct Answer is:
3.14
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 65

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 67

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If tan^(-)(x/(pi))lt (pi)/(3) ,x in N then the maximum vlaue of x is

If "tan"(pi)/(3)+"cosec"(pi)/(6)=x , then x is

If tan^(-1)(-sqrt(3))+cot^(-1)x=pi , then the value of x is :

If tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(6), then prove that x^(2)=2sqrt(3).

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4 pi+sin^(-1)sin14)=(pi)/(2), then the value of sin^(-1)sin2x is (a)6-2 pi( b) 2 pi-6( c) pi-3 (d) 3-pi

If tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)/(a)) = (pi)/(6) then prove that x^(2) = 2sqrt(3)a^(2)

If sin x=(3)/(5) and tan y=(1)/(2) and if (pi)/(2)

If pi le x le (3pi)/(2) then sin pi le sinx le sin(3pi)/(2)

NTA MOCK TESTS-NTA JEE MOCK TEST 66-MATHEMATICS
  1. Let P(1):x +y+2z-4=0 and P(2): 2x-y+3z+5=0 be the planes. Let A(1, 3, ...

    Text Solution

    |

  2. A point P moves such that the chord of contact of P with respect to th...

    Text Solution

    |

  3. If A and B are square matrices of the same order such that A=-B^(-1)AB...

    Text Solution

    |

  4. The point P(2, 1) is shifted through a distance of 3sqrt2 units measur...

    Text Solution

    |

  5. The value of lambda in R such that (x, y, z) ne (0, 0, ) and (2hati+3h...

    Text Solution

    |

  6. Let there be two prabolas y^(2)=4x and y^(2)=-8x. Then the locus of th...

    Text Solution

    |

  7. If z(1)=2+3i, z(2)=3-2i and z(3)=-1-2sqrt3i, then which of the followi...

    Text Solution

    |

  8. If |(x^(2)+mx+1)/(x^(2)+x+1)|lt3 for all real x, then

    Text Solution

    |

  9. The arithmetic mean of two numbers is 18(3)/(4) and the positive squar...

    Text Solution

    |

  10. The area (in sq. units) bounded by x^(2)+y^(2)=1 and the curve y^(2)ge...

    Text Solution

    |

  11. If 0 lt alpha lt (pi)/(16) and (1+tan alpha)(1+tan4alpha)=2, then the ...

    Text Solution

    |

  12. If f'(x^2-4x+3)gt0 " for all " x in (2,3) then f(sinx) is increasing ...

    Text Solution

    |

  13. If the value of the limit lim(nrarroo)(1^(10)+2^(10)+…n^(10))/(n^(11))...

    Text Solution

    |

  14. The solution of the differential equation ycosx.dx=sinx.dy+xy^(2)dx is...

    Text Solution

    |

  15. 5^2 5^4 5^6...................5^(2x)=(0.04)^-28 ,

    Text Solution

    |

  16. If tan^(-1).(x)/(pi)le (pi)/(6), then the maximum vlaue of sqrt3x is (...

    Text Solution

    |

  17. Let A be a square matrix of order 3, A^(T) be the transpose matrix of ...

    Text Solution

    |

  18. Values of m, for which the line y=mx+2sqrt5 is a tangent to the hyperb...

    Text Solution

    |

  19. If K=.^(11)C(2)+2[.^(10)C(2)+.^(9)C(2)+.^(8)C(2)+.^(2)C(2)] then the v...

    Text Solution

    |

  20. Let intsin(2x)ln(cosx)dx=f(x)cos^(2)x+C, (where, C is the constant of ...

    Text Solution

    |