Home
Class 12
MATHS
Let A=[(0,-2),(2,0)] and M=sum(k=1)^10 A...

Let `A=[(0,-2),(2,0)] and M=sum_(k=1)^10 A^(2k) , N=sum_(k=1)^10 A^(2k-1)` then `MN^2` is

A

symmetric matric matrix

B

skew symmetric matric matrix

C

identity matrix

D

singular matrix

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

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

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Find the sum_(k=1)^(oo) sum_(n=1)^(oo)k/(2^(n+k)) .

If I=sum_(k=2)^(10)int_(k)^(k^(2))(k-1)/(x(x-1))dx, then

Evaluate :sum_(k=1)^(10)(3+2^(k))

Find the sum sum_(k=0)^(10)2^(20)C_(k)

Evaluate : sum_(k=1)^n (2^k+3^(k-1))

sum_(k=1)^(2n+1)(-1)^(k-1)k^(2)=

Let U_(n)=sum_(k=1)^(n)(n)/(n^(2)+k^(2)),S_(n)=sum_(k=0)^(n-1)(n)/(n^(2)+k^(2)) then

sum_ (k = 1) ^ (n) (2 ^ (k) + 3 ^ (k-1))

If sum_(k=1)^n(sum_(m=1)^k m^2)=a n^4+b n^3+c n^2+dn+e then -

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If f(x)={(2(1-x/2))^25(2+x)^25}^(1/50) and g(x)=f(f(f(x)))+f(f(x)) the...

    Text Solution

    |

  2. If Q is the mirror image of P(-1,0,-1) with respect to plane x+y+z=5 a...

    Text Solution

    |

  3. Let A=[(0,-2),(2,0)] and M=sum(k=1)^10 A^(2k) , N=sum(k=1)^10 A^(2k-1)...

    Text Solution

    |

  4. Let E1 and E2 be two events such that P(E1/E2)=1/2 , P(E2/E1)=3/4, P(E...

    Text Solution

    |

  5. If the sum of first n terms of two A.P's are in the ratio 3n+8:7n+15 t...

    Text Solution

    |

  6. (.^25C0)^2+(.^25C1)^2+(.^25C2)^2+. . . +(.^25C25)^2=k then find the va...

    Text Solution

    |

  7. The value of tan^-1((cos((15pi)/4)-1)/sin(pi/4)) is equal to

    Text Solution

    |

  8. What will be the coefficient of x^101 in (5+x)^500+x(5+x)^499+x^2(5+x)...

    Text Solution

    |

  9. Find the sum of 1.3+2.3^2+3.3^3+ . . . + 10.3^9

    Text Solution

    |

  10. If there is a biased dice with number "2,4,8,16,32,32" and probability...

    Text Solution

    |

  11. 2 sin 12^@-sin 72^@=?

    Text Solution

    |

  12. y=y(x) is the solution of the differential equation 2x^2dy/dx-2xy+8y^2...

    Text Solution

    |

  13. A={x in R : abs(x+1) lt 2} , B={x in R: abs(x-1) ge 2} then

    Text Solution

    |

  14. If the angle made by tangent at point (x0,y0) on the curve x=12(t+sint...

    Text Solution

    |

  15. The area of region enclosed between the parabolas y^2=2x-1 & y^2=4x-3 ...

    Text Solution

    |

  16. The negation of ((p wedge~q ) implies ((~p) vv q)

    Text Solution

    |

  17. y=x+1 intersect the ellipse x^2/4+y^2/2=1 at the point P and Q. PQ is ...

    Text Solution

    |

  18. Let barz1 and barz2 two complex number show that barz1=ibarz2 and arg(...

    Text Solution

    |

  19. Let a,b in R be such that the equation ax^2-2bx+15=0 has repeated root...

    Text Solution

    |

  20. 12int3^b 1/((x^2-1)(x^2-4))=loge(49/40) then find value of b where b g...

    Text Solution

    |