Home
Class 12
MATHS
Let a1, a2,...,a30 be an AP, S=sum(i=1)^...

Let `a_1, a_2,...,a_30` be an AP, `S=sum_(i=1)^(30)a_i` and `T=sum_(i=1)^(15)a_(2i-1)` If `a_5=27` and `S-2T=75` then `a_10` is equal to (a) 57 (b) 42 (c) 52 (4) 47

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

If n= 10, sum_(i=1)^(10) x_(i) = 60 and sum_(i=1)^(10) x_(i)^(2) = 1000 then find s.d.

If 1+x^(4)+x^(5)=sum_(i=0)^(5)a_(i)(1+x)^(i) for all x""inR , then a_(4) is equal to ________

Let a_(1), a_(2), a_(3) , … be a G. P. such that a_(1)lt0 , a_(1)+a_(2)=4 and a_(3)+a_(4)=16 . If sum_(i=1)^(9) a_(i) = 4lambda , then lambda is equal to :

a_1,a_2,a_3 ,…., a_n from an A.P. Then the sum sum_(i=1)^10 (a_i a_(i+1)a_(i+2))/(a_i + a_(i+2)) where a_1=1 and a_2=2 is :

Let a_1,a_2,a_3…., a_49 be in A.P . Such that Sigma_(k=0)^(12) a_(4k+1)=416 and a_9+a_(43)=66 .If a_1^2+a_2^2 +…+ a_(17) = 140 m then m is equal to

If sum_(i=1)^(5) (x_(i) - 6) = 5 and sum_(i=1)^(5)(x_(i)-6)^(2) = 25 , then the standard deviation of observations

Let a_1, a_2, a_3, ?a_10 are in G.P. if a_3/a_1 =25 then a_9/a_5 is equal to (A) 5^4 (B) 4.5^4 (C) 4.5^3 (D) 5^3

Let a_1, a_2, a_3, ?a_10 are in G.P. if a_3/a_1 =25 then a_9/a_5 is equal to (A) 5^4 (B) 4.5^4 (C) 4.5^3 (D) 5^3

If sum_(i=1)^200 sin^-1 x_i=100pi, then sum _(i=1)^200 x_i^2 is equal to

Let a_1,a_2,a_3….., a_(101) are in G.P with a_(101) =25 and Sigma_(i=1)^(201) a_i=625 Then the value of Sigma_(i=1)^(201) 1/a_i eaquals _______.

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Point P is at a height of 25m from surface of lake. The angel of eleva...

    Text Solution

    |

  2. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  3. Let a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

    Text Solution

    |

  4. The area (in sq. units) bounded by the parabola y=x^2-1, the tangent a...

    Text Solution

    |

  5. If the system of linear equations x - 4y + 7z = g 3y - 5z = h -2...

    Text Solution

    |

  6. The logical statement [~(~pvee q) vee (p vee r) wedge (~q wedge r)] i...

    Text Solution

    |

  7. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |

  8. The number of all possible positive integral values of alpha for whic...

    Text Solution

    |

  9. Let veca = 2hati+lambda1 hatj+3hatk, vec(b)=4hati+(3-lambda2) hatj+6ha...

    Text Solution

    |

  10. Let d in R, and A = [(-2,4+d,(sintheta)-2),(1,(sintheta)+2,d),(5,(...

    Text Solution

    |

  11. The area enclosed between the curves y=kx^2" and " x=ky^2,(kgt0) is 1 ...

    Text Solution

    |

  12. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  13. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  14. Let the length of the latus rectum of an ellipse with its major axis a...

    Text Solution

    |

  15. Let S={1,2,...,20}. A subset B of S is said to be ''nice'', if the sum...

    Text Solution

    |

  16. An ordered pair (alpha, beta) for which the system of linear equations...

    Text Solution

    |

  17. The product of three consecutive terms of a G.P. is 512. If 4 is added...

    Text Solution

    |

  18. Let y(x) is the solution of differential equation x(dy)/(dx)+y=x logex...

    Text Solution

    |

  19. The perpendicular distance from the origin to the plane containing the...

    Text Solution

    |

  20. If the vertices of a hyperbola be at (-2, 0) and (2, 0) and one of its...

    Text Solution

    |