Home
Class 12
MATHS
Pn=alpha^n+beta^n , alpha +beta=1 , alph...

`P_n=alpha^n+beta^n , alpha +beta=1 , alpha*beta=-1 , P_(n-1)=11 ,P_(n+1)=29 , then P_(n)^2=`

Text Solution

Verified by Experts

The correct Answer is:
324
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - B)|10 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-A|100 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

| alpha alpha1 beta F|=(alpha-P)(beta-alpha)

Let alpha and beta be two real numbers such that alpha+beta=1 and alpha beta=-1 Let p_(n)=(alpha)^(n)+(beta)^(n), p_(n-1)=11 and p_(n+1)=29 for some integer n geq 1 Then, the value of p_(n)^(2) is

Let alpha and beta be the roots of the equation x^(2) -px+q =0 and V_(n) = alpha^(n) + beta^(n) , Show that V_(n+1) = pV_(n) -qV_(n-1) find V_(5)

If l,m,n, be the three positive roots of the equation x^(3)-ax^(2)+bx-48=0 , then the minimum value of (1)/(l)+(2)/(m)+(3)/(n) equals (alpha)/(beta) where alpha,beta in N , gcd(alpha,beta)=1 then alpha^(2)+beta^(2)=

if a_(n=(alpha^(n)-beta^(n))/(alpha-beta) where alpha and beta are roots of equation x^(2)-x-1=0 and b_(n)=a_(n+1)+a_(n-1) then

If tan(alpha+beta)=n tan(alpha-beta) then show that (n+1)sin2 beta=(n-1)sin2 alpha

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-B
  1. For integers n and r, let ([n], [r])={(""^nCr," ""if " n ge r ge 0),...

    Text Solution

    |

  2. Let lambda be an interger. If the shortest distance between the lines...

    Text Solution

    |

  3. If a+alpha=1,b+beta=2 and af(n)+alphaf(1/n)=bn+beta/n, then find the v...

    Text Solution

    |

  4. Let a point P be such that its distance from the point (5, 0) is thri...

    Text Solution

    |

  5. If the area of the triangle formed by the positive x-axis, the normal...

    Text Solution

    |

  6. The variance of 10 natural numbers 1,1,1,1 ... k is less then 10 . Fin...

    Text Solution

    |

  7. Sum of first four terms of GP is 65/12 , sum of their reciprocals is 6...

    Text Solution

    |

  8. S1 , S2 , . . . , S10 are 10 students , in how many ways they can be d...

    Text Solution

    |

  9. Let i=sqrt(-1). If ((-1+isqrt3)^(21))/((1-i)^(24))+((1+isqrt3)^(21))/...

    Text Solution

    |

  10. The number of the real roots of the equation (x + 1)^2 + |x – 5|=(27)...

    Text Solution

    |

  11. IF z(z in C) satisfy abs(z+5)le5 and z(1+i)+barz(1-i)ge-10.If the maxi...

    Text Solution

    |

  12. Let the normals at all the points on a given curve pass through a fixe...

    Text Solution

    |

  13. Pn=alpha^n+beta^n , alpha +beta=1 , alpha*beta=-1 , P(n-1)=11 ,P(n+1)=...

    Text Solution

    |

  14. If I(m,n)=overset1underset0intx^(m-1)(1-x)^(n-1)dx for m,nge1 and ove...

    Text Solution

    |

  15. If the arithmetic mean and geometric mean of the p^(th) and q^(th) ter...

    Text Solution

    |

  16. The total number of 4-digit number whose greatest common divisor with ...

    Text Solution

    |

  17. Let L be a common tangent line to the curves 4x^2+9y^2=36 and (2x)^2+(...

    Text Solution

    |

  18. If all the zeros of polynomial function f(x)=2x^5+5x^4+10x^3+10x^2+10x...

    Text Solution

    |

  19. Let X1,X2,….,X(18) be eighteen observations such that sum(i=1)^(18)(Xi...

    Text Solution

    |

  20. If [[1,0,0],[0,2,0],[3,0,-1]] and A^20 +alphaA^19+betaA=[[1,0,0],[0,4,...

    Text Solution

    |