Home
Class 10
MATHS
Ifx(1),x(2),x(3),"……" are in A.P., then ...

If`x_(1),x_(2),x_(3),"……"` are in A.P., then the value of `1/(x_(1)x_(2))+1/(x_(2)x_(3))+1/(x_(3)x_(4))+"……"1/(x_(n-1)x_(n))` is :

A

`(n-1)/(x_(1)x_(n))`

B

`(n-1)/(x_(2)x_(n-1))`

C

`n/(x_(1)x_(n))`

D

`(n+1)/(x_(1)x_(n))`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTSE 2019 -20

    OSWAL PUBLICATION|Exercise Coordinate Geometry Stage -1|3 Videos
  • NTSE 2019 -20

    OSWAL PUBLICATION|Exercise Coordinate Geometry Stage -2|1 Videos
  • NTSE 2019 -20

    OSWAL PUBLICATION|Exercise Quadratic Equations Stage -2 |2 Videos
  • NEW TYPOLOGIES INTRODUCED BY CBSE FOR BOARD 2021-22 EXAM

    OSWAL PUBLICATION|Exercise UNIT-VII STATISTICS AND PROBABILITY (STATISTICS) (SELF ASSESSMENT)|2 Videos
  • OLYMPIAD 2019-20

    OSWAL PUBLICATION|Exercise 15. Probability |1 Videos

Similar Questions

Explore conceptually related problems

If x_(1),x_(2),x_(3),x_(n) are the roots of x^(n)+ax+b=0 then the value of (x_(1)-x_(2))(x_(1)-x_(3))(x_(1)-x_(4))......(x_(1)-x_(n)) is equal to

If x_(1),x_(2),x_(3),…,x_(n) are the roots of the equation x^(n)+ax+b=0 , the value of (x_(1)-x_(2))(x_(1)-x_(3))(x_(1)-x_(4))…….(x_(1)-x_(n)) is

If x_(1),x_(2),x_(3)...x_(n) are in H.P,then prove that x_(1)x_(2)+x_(2)x_(3)+xx x-3x_(4)+...+x_(n-1)x_(n)=(n-1)x_(1)x_(n)

If x_(1),x_(2),x_(3),.......x_(n) are the roots of x^(n)+ax+b=0, then the value of (x_(1)-x_(2))(x_(1)-x_(3))(x_(1)-x_(4))......(x_(1)x_(n)) is equal to

If 2x+1,x^(2)+x+1 and 3x^(2)-3x+3 are in A.P ,then the value of x :

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

If x_(1),x_(2),x_(3) are the roots of x^(3)+ax^(2)+b=0, the value of x_(2)x_(3),x_(1)x_(3),x_(1),x_(2)]|

If x_(1), x_(2), x_(3) .................x_(n) are in H.P.then x_(1)x_(2)+x_(2)x_(3)+.......+x_(n-1)x_(n) =

If x_(1),x_(2),x_(3)….x_(n) = y^(n) , then show that (1+x_(2)) (1+x_(2)) ge (1+y)^(n)

x_(1),x_(2),x_(3)"…." are in A.P. If x_(1)+x_(7)+x_(10)=-6 and x_(3)+x_(8)+x_(12)=-11 , then x_(3)+x_(8)+x_(22) =