Home
Class 12
MATHS
If x Sigma(n=0)^(oo) (-1)^n " tan "^(2...

If ` x Sigma_(n=0)^(oo) (-1)^n " tan "^(2n) " and " y = Sigma_(n=0)^(oo) " cos "^(2n) theta` for ` 0 lt theta lt pi/4`, then :

A

x(1+y) =1

B

x(1 -y) =1

C

y(1-x)=1

D

y(1+x)=1

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

Let x= sum_(n=0)^oo (-1)^n (tantheta)^(2n) and y = sum_(n=0)^oo (costheta)^(2n) qhere theta in (0,pi/4) , then

Sigma_(n=1)^(oo) (x^(2n))/(2n-1) is equal to

If a = Sigma_(n=0)^(oo) x^(n), b = Sigma_(n=0)^(oo) y^(n), c = Sigma__(n=0)^(oo) (xy)^(n) " Where " |x|, |y| lt 1 , then -

If x=Sigma_(n=0)^(oo) a^n,y=Sigma_(n=0)^(oo) b^n,z=Sigma_(n=0)^(oo) c^n where a, b,and c are in A.P and |a|lt 1 ,|b|lt 1 and |c|1 then prove that x,y and z are in H.P

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS
  1. If (dx)/dy = (xy)/(x^2 + y^2), y(1) = 1 and y(x) = e then x =

    Text Solution

    |

  2. If minimum value of term free from xx for (x/(sintheta) + 1/(xcostheta...

    Text Solution

    |

  3. If x Sigma(n=0)^(oo) (-1)^n " tan "^(2n) " and " y = Sigma(n=0)^(oo)...

    Text Solution

    |

  4. int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda t...

    Text Solution

    |

  5. Let probability distribution is [[xi,:,1, 2, 3, 4, 5], [pi,:,k^2, 2k, ...

    Text Solution

    |

  6. If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c =...

    Text Solution

    |

  7. z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't ...

    Text Solution

    |

  8. Let an be the n^(th) term, of a G.P of postive terms. If Sigma(n=1)^...

    Text Solution

    |

  9. If lim(x rarr 0)x[4/x]= A, then the value of x at which f(x) = [x^2]si...

    Text Solution

    |

  10. Let one end of focal chord of parabola y^2 = 8x is (1/2, -2), then equ...

    Text Solution

    |

  11. If 10 different balls are to be placed in 4 distinct boxes at random, ...

    Text Solution

    |

  12. If p rarr (p wedge ~ q) is false. Truth value of p & q will be

    Text Solution

    |

  13. Let A = {x : |x| lt 2} and B = {x : |x - 2| ge 3} then

    Text Solution

    |

  14. Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sq...

    Text Solution

    |

  15. Let a function f: [0,5] rarr R be continuous , f(1) =3 and F be defind...

    Text Solution

    |

  16. Let both root of equation ax^2 - 2bx + 5 = 0 are α and root of equatio...

    Text Solution

    |

  17. If f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1} and g...

    Text Solution

    |

  18. If the distance between the plane 23x-10y-2z+48 =0 and the plane cont...

    Text Solution

    |

  19. Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|v...

    Text Solution

    |

  20. If .^25 C0 + 5 .^25 C1 + 9 .^25 C2 .... 101 .^25 C25 = 2^(25) k find k...

    Text Solution

    |