Home
Class 12
MATHS
If (dy)/(dx)=sin((x pi)/(2))cos(x pi), t...

If `(dy)/(dx)=sin((x pi)/(2))cos(x pi)`, then y is strictly increasing in :

A

(3, 4)

B

`(( 5)/(2), (7)/(2))`

C

(2, 3)

D

`((1)/(2), (3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|26 Videos

  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • COMPLEX NUMBERS

    VK JAISWAL ENGLISH|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if x-y =pi

Prove that funciton given by (i) f(x)=x^(2) is (a) Strictly increasing in x in (0,oo) (b) Strictly decreasing in x in (-oo,0) (ii) f(x)=tan x is strictly increasing in x in (npi-(pi)/(2),n pi+(pi)/(2)) , where n in I .

Prove that the function given by f(x) = cos x is(a) strictly decreasing in (0,pi) (b) strictly increasing in (pi,2pi) , and(c) neither increasing nor decreasing in (0,2pi)

Separate the interval [0,pi/2] into sub intervals in which function f(x)=sin^4(x)+cos^4(x) is strictly increasing or decreasing.

Find the intervals in which f(x) = sin 3x – Cos 3x, 0 < x < pi , is strictly increasing or decreasing.

Prove that the function f(x)=cosx is strictly increasing in (pi,\ 2pi)

Show that the function f(x) = log (sin x) (i) is strictly increasing in the interval ]0,pi/2[ . (ii) is strictly decreasing in the interval ]pi/2,pi[ .

Find (dy)/(dx) for y=sin^(-1)(cosx), where x in (0,2pi)dot

Prove that function given by f(x)=sin x is (i) Strictly increasing in (-(pi)/(2),(pi)/(2)) (ii) Strictly decreasing in ((pi)/(2),(3pi)/(2))

Prove that the function f given by f (x) = log cos x is strictly decreasing on (0,pi/2) and strictly increasing on (pi/2,pi) prove that the function f given by f(x) = log sin x is strictly decreasing on ( 0 , pi/2) and strictly increasing on ( pi/2 , pi) ..

VK JAISWAL ENGLISH-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. If (dy)/(dx)=sin((x pi)/(2))cos(x pi), then y is strictly increasing i...

    Text Solution

    |

  2. Let P=(sin80^(@)sin65^(@) sin35^(@))/(sin20^(@)+sin50^(@)+sin110^(@))...

    Text Solution

    |

  3. The value of expression (1-cot23^(@))(1-cot22^(@)) is equal to :

    Text Solution

    |

  4. If tanA and tanB the roots of the quadratic equation, 4x^(2)-7x+1=0 th...

    Text Solution

    |

  5. A(1)A(2)A(3)………A(18) is a regular 18 sided polygon. B is an external p...

    Text Solution

    |

  6. If 10sin^(4)alpha+15cos^(4)alpha=6 and the value of 9"cosec"^(4)alpha...

    Text Solution

    |

  7. The value of (1+"tan"(3pi)/(8)"tan"(pi)/(8))+(1+"tan"(5pi)/(8)"tan"(3p...

    Text Solution

    |

  8. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

    Text Solution

    |

  9. Given the for a,b,c,d in R, if a sec(200^@)- ctan(200^@)=d and b sec(...

    Text Solution

    |

  10. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

    Text Solution

    |

  11. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

    Text Solution

    |

  12. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

    Text Solution

    |

  13. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

    Text Solution

    |

  14. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

    Text Solution

    |

  15. If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy...

    Text Solution

    |

  16. Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

    Text Solution

    |

  17. The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) i...

    Text Solution

    |

  18. If x=alpha satisfy the equation 3^(sin2x+2cos^(2)x)+3^(1-sin2x+2sin^(...

    Text Solution

    |

  19. If y=(sin theta+"cosec" theta)^(2) +(cos theta+sec theta)^(2), then m...

    Text Solution

    |

  20. If tan20^(@)+tan40^(@)+tan80^(@)-tan60^(@)=lambda sin40^(@), then lamb...

    Text Solution

    |

  21. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

    Text Solution

    |