Home
Class 12
MATHS
Ifthe area bounded by the curve y=|cos^...

Ifthe area bounded by the curve `y=|cos^-1(sinx)|-|sin^-1(cos x)|` and axis froms `(3pi)/2 leq x 2pi` ,is equal to-where `pi^2/k`,where `km in N` then find k.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curve y=|cos^(-1)(sinx)|-|sin^(-1)(cosx)| and axis from (3pi)/(2)lex le 2pi

Ifthe area bounded by the curve y=|cos^(-1)(sin x)|-|sin^(-1)(cos x)| and axis froms (3 pi)/(2)<=x2 pi, is equal to-where (pi^(2))/(k) where km in N then find k .

The area bounded by the curve y=|cos^-1(sinx)|+|pi/2-cos^-1(cosx)| and the x - axis , where pi/2lexlepi , is equal to

The area bounded by the curve y=|cos x-sin x|,0<=x<=(pi)/(2) and above x - axis is

If the area bounded by the curve y=cos^-1(cosx) and y=|x-pi| is pi^2/n , then n is equal to…

Area bounded by the curve y=max{sin x, cos x} and x -axis, between the lines x=(pi)/(4) and x=2 pi is equal to

Area bounded by the curve y=sin^(2)x and lines x=(pi)/(2),x=pi and X-axis is

The area bounded by the curve y=sin x between x=(pi)/(2) and x=(3 pi)/(2)

The area bounded by the curve y=sin^(2)x-2 sin x and the x-axis, where x in [0, 2pi] , is

RESONANCE DPP-JEE MAINS-All Questions
  1. If f(x)={ax^3+b, for 0 le x le 1 and 2cospix+tan^-1x, for 1 < x le 2 b...

    Text Solution

    |

  2. The straight line x/4+y/3=1 intersects the ellipse x^2/16+y^2/9 =1 at ...

    Text Solution

    |

  3. Ifthe area bounded by the curve y=|cos^-1(sinx)|-|sin^-1(cos x)| and ...

    Text Solution

    |

  4. A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&...

    Text Solution

    |

  5. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

    Text Solution

    |

  6. If |a|<|b|,b-a<1 and a,b are the real roots of the equation x^2-|alpha...

    Text Solution

    |

  7. LetA(z1), B(z2) and C(z3) forms an acute angled triangle in argand pla...

    Text Solution

    |

  8. If the area by y=x^2+2x-3 and the line y=k x+1 is the least, find k an...

    Text Solution

    |

  9. Let z1, z2........ zn be equi-modular non-zero complex numbers such th...

    Text Solution

    |

  10. Two circle S1 and S2 with centre C1&C2 intersect at X&Y. Secants L1&L2...

    Text Solution

    |

  11. If f(n)=int(0)^(2015)(e^(x))/(1+x^(n))dx, then find the value of lim(n...

    Text Solution

    |

  12. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

    Text Solution

    |

  13. There are six periods in each working day of a school. Find the number...

    Text Solution

    |

  14. Solve the following equation by using the general expressions for root...

    Text Solution

    |

  15. If in 6 trials, X is a binomial variate which follows the relation 9P(...

    Text Solution

    |

  16. If z1,z2,z3 are vertices of a triangle such that |z1-z2|=|z1-z3| then...

    Text Solution

    |

  17. letp(x)=4x^2+6x+4 and q(y)=4y^2-12Y+25. Find the unique pairs of real ...

    Text Solution

    |

  18. The values of 'K' for which the equation |x|^2 (|x|^2 – 2k + 1) = 1 - ...

    Text Solution

    |

  19. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

    Text Solution

    |

  20. If A is a square matrix of order 3 such that |A|=2,t h e n|(a d jA^(-1...

    Text Solution

    |