Home
Class 12
MATHS
Let a(1), a(2), a(3), … be a G. P. such ...

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

`(511)/(3)`

B

171

C

`-513`

D

`-171`

Text Solution

Verified by Experts

The correct Answer is:
`D`
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 a_(1),a_(2),a_(3),... be a G P such that a_(1)lt 0,a_(1)+a_(2)=4 and a_(3)+a_(4)=16. If sum_(i=1)^(9)a_(i)=4 lambda , then lambda is equal to "

Let {a_(n)} bc a G.P.such that (a_(4))/(a_(6))=(1)/(4) and a_(2)+a_(5)=216. Then a_(1)=

If a_(1),a_(2),a_(3),...,a_(100) are in A P such that a_(1)+a_(3)+a_(4)+a_(3)+a_(7)=20 then a_(4)=

Let a_(1),a_(2)…,a_(n) be a non-negative real numbers such that a_(1)+a_(2)+…+a_(n)=m and let S=sum_(iltj) a_(i)a_(j) , then

Let a_(1), a_(2), a_(3) , …..be in A.P. If (a_(1) + a_(2) + …. + a_(10))/(a_(1) + a_(2) + …. + a_(p)) = (100)/(p^(2)), p ne 10 , then (a_(11))/(a_(10)) is equal to :

Let a_(1),a_(2),a_(3),...... be an A.P.such that (a_(1)+a_(2)+......+a_(p))/(a_(1)+a_(2)+a_(3)+......+a_(q))=(p^(3))/(q^(3));p!=q Then (a_(6))/(a_(21)) is equal to:

It a_(1) , a_(2) , a_(3) a_(4) be in G.P. then prove that (a_(2)-a_(3))^(2) + (a_(3) - a_(1))^(2) + (a_(4) +a_(2))^(2) = (a_(1)-a_(4))^(2)

Consider an A.P*a_(1),a_(2),a_(3),.... such that a_(3)+a_(5)+a_(8)=11 and a_(4)+a_(2)=-2 then the value of a_(1)+a_(6)+a_(7) is....

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS
  1. Let A = [a(ij)], B=[b(ij)] are two 3 × 3 matrices such that b(ij) = la...

    Text Solution

    |

  2. From any point P on the line x = 2y perpendicular is drawn on y = x. L...

    Text Solution

    |

  3. Let a(1), a(2), a(3), … be a G. P. such that a(1)lt0, a(1)+a(2)=4 and ...

    Text Solution

    |

  4. if y sqrt(1-x^2) = k - x sqrt(1-y^2) and y(1/2) = -1/4, then (dy)/(dx...

    Text Solution

    |

  5. Coefficient of x^7 in (1 + x)^10 + x(1 + x)^9 + x^2 (1 + x)^8+………..+x^...

    Text Solution

    |

  6. If Q(5/3,7/3,17,3) is foot of perpendicular drawn from P(1, 0, 3) on a...

    Text Solution

    |

  7. If system of equation x + y + z = 6 x + 2y + 3z = 10 3x + 2y + l...

    Text Solution

    |

  8. If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y...

    Text Solution

    |

  9. Let X = {x : 1 le x le 50, x in N} A = {x: x is multiple of 2} B = {...

    Text Solution

    |

  10. If F(x) is defined in x in (-1/3,1/3) f(x) = {((1/x)loge((1+3x)/(1-2...

    Text Solution

    |

  11. Let ABC is a triangle whose vertices are A(1, –1), B(0, 2), C(x', y') ...

    Text Solution

    |

  12. Let P(A) = 1/3 , P(B) = 1/6 where A and B are independent events then

    Text Solution

    |

  13. Let f(x) = {(sin (tan^(-1) x) + sin (cot^(-1) x)}^2 - 1, where |x| gt ...

    Text Solution

    |

  14. f(x) = (8^(2x) - 8^(-2x))/(8^(2x) + 8^(-2x) find the inverse of the fu...

    Text Solution

    |

  15. The system of equation 3x + 4y + 5z = mu x + 2y + 3z = 1 4x + 4y...

    Text Solution

    |

  16. If y^2 = ax and x^2 = ay intersect at A & B. Area bounded by both curv...

    Text Solution

    |

  17. Let F:R to R be such that F for all x in R (2^(1+x)+2^(1-x)), F(x) and...

    Text Solution

    |

  18. Consider a function f(x) = ln (x^2 + alpha)/7x . If for the given func...

    Text Solution

    |

  19. Let f(x) = x cos^(-1)(sin-|x|), x in (-pi/2,pi/2)

    Text Solution

    |

  20. Ellipse 2x^2+ y^2 = 1 and y = mx meet a point A in first quadrant. Nor...

    Text Solution

    |