Home
Class 12
MATHS
Find the smallest positive values of xa ...

Find the smallest positive values of `xa n dy` satisfying `x-y=pi/4a n dcotx+coty=2`

Promotional Banner

Topper's Solved these Questions

  • Maxima and Minima

    A DAS GUPTA|Exercise EXERCISE|59 Videos

  • Objective Tests

    A DAS GUPTA|Exercise Exercise|36 Videos

Similar Questions

Explore conceptually related problems

Find the smallest positive value of x and y satisfying x-y=(pi)/(4) and cot x+cot y=2

Find the smallest positive values of x and y satisfying x-y=(pi)/(4) and cot x+cot y=2

Find the smallest positive value of theta satisfying tan theta =2 sin theta .

Find the smallest integral value of x satisfying (x-2)^(x^(2)-6x+8))>1

Find the smallest integral value of x satisfying (x-2)^(x^(2)-6x+8) gt 1 .

The smallest positive values of x and y which satisfy "tan" (x-y) =1, "sec" (x+y) = (2)/(sqrt(3)) , are

The smallest positive value of x (in radians) satisfying the equation (log)_(cos x)((sqrt(3))/(2)sin x)=2-(log)_(sec x)(tan x) is (a) (pi)/(12) (b) (pi)/(6)(cc)(pi)/(4) (d) (pi)/(3)

Let ' n ' is the number of ordered pair (x ,y) satisfying the system of equations {x^2y^2-2x+y^2=0 2x^2-4x+3+y^2=0(x , y in R) and ' S ' is the sum of all the values of xa n dy satisfying the given system of equations then n > S (b) n

Prove that the least positive value of x, satisfying tan x=x+1, lies in the interval ((pi)/(4),(pi)/(2))

Prove that the least positive value of x satisfying tan x=x+1, lies in the interval ((pi)/(4),(pi)/(2))

A DAS GUPTA-Miscellaneous Exercises-Exercise
  1. Let ABC and PQR be any two triangles in the same plane. Assume that th...

    Text Solution

    |

  2. An unbiased dice, with faces numbered 1, 2, 3, 4, 5, 6, is thrown n ti...

    Text Solution

    |

  3. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

    Text Solution

    |

  4. log(3/4)log8(x^2+7)+log(1/2)log(1/4)(x^2+7)^(-1)=-2.

    Text Solution

    |

  5. Total number of solutions of the equation x² -4-[x]=0 are (where (.) d...

    Text Solution

    |

  6. Let a, b be the roots of the equation x^2 - kx + k = 0, k in R. If a^2...

    Text Solution

    |

  7. Two parabola have the focus (3, 2). Their directrices are the x-axis a...

    Text Solution

    |

  8. Let alpha in R. prove that a function f: R-R is differentiable at...

    Text Solution

    |

  9. Find the lim(x to 0) frac{sqrt(x+2) -sqrt2}{root(3)(1-x) - sqrt(1+x)}.

    Text Solution

    |

  10. Two parabolas y(2) = 4a(x – 1l(1)) and x(2) = 4a(y – l(2)) always touc...

    Text Solution

    |

  11. Let 2x^2 +y^2-3xy = 0 be the equation of a pair of tangents drawn from...

    Text Solution

    |

  12. Let f(x),xgeq0, be a non-negative continuous function, and let f(x)...

    Text Solution

    |

  13. Let b!=0 and for j=0,1,2,....,n. Let S(j) be the area of the region bo...

    Text Solution

    |

  14. Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and le...

    Text Solution

    |

  15. A hemi-spherical tank of radius 2 m is initially full of water and ...

    Text Solution

    |

  16. I(n) is the area of n sided refular polygon inscribed in a circle unit...

    Text Solution

    |

  17. For the circle x^(2)+y^(2)=r^(2), find the value of r for which the ar...

    Text Solution

    |

  18. A right circular cone with radius R and height H contains a liquid whi...

    Text Solution

    |

  19. If vecu, vercv, vecw be three noncoplanar unit vectors and alpha,beta,...

    Text Solution

    |

  20. If P(1)=0a n d(d P(x))/(dx),sinx+2xgeq(3x(x+1))/pi . Explain the ident...

    Text Solution

    |