Home
Class 12
MATHS
If 0ltalphaltbetaltpi/2 then...

If `0ltalphaltbetaltpi/2` then

A

`tanbeta/(tanalpha)ltalpha/beta`

B

`tanbeta/(tanalpha)gtalpha/beta`

C

`tanalpha/(tanbeta)gtalpha/beta`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

Verify that the matrix equation A^(2)-4A+3I = 0 is satisfied by the matrix A={:[(2,-1),(-1,2)]," where " I={:[(1,0),(0,1)]and 0={:[(0,0),(0,0)]. Hence obtain A^(-1).

Verify that the matrix equation A^2 - 4a +3I =0 is satisfied by the matrix A = [[2,-1],[-1,2]] , where I = [[1,0],[0,1]] and 0= [[0,0],[0,0]] ,

If a_0, a_1, a_2, a_3 are all the positive, then 4a_0x^3+3a_1x^2+2a_2x+a_3=0 has least one root in (-1,0) if (a) a_0+a_2=a_1+a_3 and 4a_0+2a_2>3a_1+a_3 (b) 4a_0+2a_2<3a_1+a_3 (c) 4a_0+2a_2=3a_1+a_0 and 4a_0+a_2lta_1+a_3 (d) none of these

IF alpha is a root of the equation ax^2+bx+c=0 then show that malpha^2(mne0) is a root of the equation a^2x^2+(2ac-b^2)mx+m^2c^2=0 .

If A={:[(2,0,1),(1,0,-1),(0,-1,1)]:}, find the matrix for the polynomial A^(2)-4A+3I.

Find the area of the triangle vertices are (0, 0), (3, 0) and (0, 2)

The z-coordinate of a point equidistant from the points ( 0 , 0 ,0) , ( 2 , 0 , 0) , ( 0 , 4 , 0) and ( 0 , 0, 6) is _

The z-coordinate of a point equidistant from the points (0,0,0),(2,0,0),(0,4,0) and (0,0,6) is

Find the equation of the parabola with vertex at (0,0) and focus at (0,2) .

If (a,0) is a point on a diameter of the circle x^2+y^2=4 , then x^2-4x-a^2=0 has

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. The minimum value of the function defined by f(x)=max {x,x+1,2-x} is

    Text Solution

    |

  2. If f(x)gt0 and f"(x)gt0 forallx in R, then for any two real numbers x1...

    Text Solution

    |

  3. If 0ltalphaltbetaltpi/2 then

    Text Solution

    |

  4. A function f is such that f'(4)=f''(4)=0 and f has minimum value 10 at...

    Text Solution

    |

  5. If f(x)=x^2+2bx=2c^2 and g(x)=-x^2-2cx+b^2 are such that min f(x)gtmax...

    Text Solution

    |

  6. If f(x)=x^alphalogx and f(0)=0, then the value of alpha for which Ro...

    Text Solution

    |

  7. If 0ltxltpi/2,then

    Text Solution

    |

  8. The number of values of x where the function f(x)=cosx+cos(sqrt2x) att...

    Text Solution

    |

  9. The value of a so that the sum of the squares of the roots of the equa...

    Text Solution

    |

  10. The equation e^(x-1)+x-2=0 as

    Text Solution

    |

  11. For the function y=f(x)=(x^2+bx+c)e^x, which of the following holds ?

    Text Solution

    |

  12. The function y=x/(1+x^2) decreases in the interval

    Text Solution

    |

  13. If f(x)=logex is defined in [1,e], then

    Text Solution

    |

  14. The function f(x) =int0^xsqrt(1-t^4)dt is such that

    Text Solution

    |

  15. Let g(x)=2f(x/2)+f(x) and f''(x)lt0 " in "0lexle1, then g(x)

    Text Solution

    |

  16. The critical points of the function f(x)=|x-1|/x^2 are

    Text Solution

    |

  17. The extremum values of the function f(x)-1/(sinx+4)-1/(cosx-4) where x...

    Text Solution

    |

  18. If f(x)=sqrt(8x),g(x)=x+2, then

    Text Solution

    |

  19. Let f(x)={(x+2,-1lexle0),(1,x=0),(x/2,0ltxle1):} Then on [-1,1] this f...

    Text Solution

    |

  20. The points on the curve 9y^(2) = x^(3) , where the normal to the curve...

    Text Solution

    |