Home
Class 12
MATHS
If tan((alphapi)/(4))=cot((betapi)/(4)),...

If `tan((alphapi)/(4))=cot((betapi)/(4)),` then

A

`alpha+beta=0`

B

`alpha+beta=2n`

C

`alpha+beta=2n+1`

D

`alpha+beta=2(2n+1),AA` n is an integer

Text Solution

Verified by Experts

The correct Answer is:
D
Given, tan `((alphapi)/(4))=tan((pi)/(2)-(betapi)/(4))`
`implies(alphapi)/(4)=n pi+(pi)/(2)-(betapi)/(4)`
`implies(alpha+beta)(pi)/(4)=((2n+1)/(2))pi`
`impliesalpha+beta=2(2n+1), AA n in l`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 03

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|49 Videos

  • PRACTICE SET 05

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

Similar Questions

Explore conceptually related problems

(sec2x-tan2x) equals a tan(x-(pi)/(4))b)tan((pi)/(4)-x)c cot(x-(pi)/(4))d tan^(2)(x+(pi)/(4))

If y=(sqrt(1-sin4A)+1)/(sqrt(1+sin4A)-1) then one if the values of y is (A)-tan A(B)cot A(C)tan((pi)/(4)+A)(D)-cot((pi)/(4)+A)

If: cos(tan^(-1)x)=sin (cot^(-1).(3)/(4)), then : x =

Find the value tan((pi)/(5))+2tan((2 pi)/(5))+4cot((4 pi)/(5))

If tan^(-1)x+tan^(-1)y=(pi)/(4) , then cot^(-1)x+cot^(-1)y=

If tan 4 theta = cot (2 theta +30^(@)) , then theta is equal to :

If tan x=a, then cot(x-(pi)/(4)) equals

If tan^(-1) x + tan^(-1) y = (4pi)/(5) , then cot^(-1) x + cot^(-1) y equal to

Let theta in(0,(pi)/(4)) and t_(1)=(tan theta)^(tan theta),t_(2)=(tan theta)6(cot theta),t_(3)=(cot theta)^(tan theta) and t_(4)=(cot theta)^(cot theta) then

prove that :tan^(-1)(((1)/(2))tan2A)+tan^(-1)(cot A)+tan^(-1)(cot^(3)A)={0when(pi)/(4)

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 04-PAPER 2 (MATHMATICS)
  1. If xsin((y)/(x))dy=[ysin((y)/(x))-x]dx and y(1)=(pi)/(2), then the val...

    Text Solution

    |

  2. Find the differential equation of system of cocentric circles with cen...

    Text Solution

    |

  3. If tan((alphapi)/(4))=cot((betapi)/(4)), then

    Text Solution

    |

  4. Angles A, B, C of a deltaABC are in AP and b : c = sqrt3 : sqrt2, th...

    Text Solution

    |

  5. IF alpha,beta are the roots of the equation 6x^(2)-5x+1=0, then the va...

    Text Solution

    |

  6. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the a...

    Text Solution

    |

  7. intsqrt(1-cosx)dx=?

    Text Solution

    |

  8. Find the area bounded by the y-axis, y=cosx ,a n dy=sinxw h e n0lt=xlt...

    Text Solution

    |

  9. The derivative of sinx^(3) w.r.t. cosx^(3) is

    Text Solution

    |

  10. If f(x)=|x|^(3), then f'(0) equals

    Text Solution

    |

  11. Shaded region is represented by

    Text Solution

    |

  12. If the normal to the curve y=f(x) at the point (3,4) makes an angle (3...

    Text Solution

    |

  13. (lim(xto oo) ((x+3)/(x+1))^(x+1) is equal to

    Text Solution

    |

  14. The equation of the plane passing through (3,2,-1) and normal tot the ...

    Text Solution

    |

  15. For the Booleann function f(x(1),x(2),x(3))=(x(1)*x(2))+x(3), value of...

    Text Solution

    |

  16. The volume of the parallelopiped, if a=3hati,b=5hatj and c=4hatk are c...

    Text Solution

    |

  17. Find the ratio in which the line joining (2,4,5) and (3,5,4) is divide...

    Text Solution

    |

  18. If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

    Text Solution

    |

  19. The differential coefficient of f(sin x) with respect to x, where f(x)...

    Text Solution

    |

  20. Gas is being pumped into a a spherical balloon at the rate of 30 ft^(3...

    Text Solution

    |