Home
Class 10
MATHS
For what value of x, the duplicate of (...

For what value of x, the duplicate of `(x+a)/(x +b)" is " a/b` ?

Text Solution

Verified by Experts

The correct Answer is:
`x = pm sqrt(ab)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2.2 (Very-Short Answer Type Questions) MCQs|10 Videos
  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2.2 (True or false)|1 Videos
  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2.1 (Short-Answer Type Questions)|5 Videos
  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos
  • RECTANGULAR PARALLELOPIPED OR CUBOID

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-(MCQs)|40 Videos

Similar Questions

Explore conceptually related problems

For what value of x, the duplicate ratio of (x + a)/(x + b) " is " a/b ?

The vectors vec(a) " and " vec(b) are non-collinear. Find for what value of x, the vectors vec(c)=(x-7)vec(a)+2vec(b) "and " vec(d)=(2x+1)vec(a)-vec(b) are collinear.

Knowledge Check

  • For what value of a and b, the two equationes 5x + 8y =7 and (a +b)x + (a -b)y =(2a + b + 1) have infinite no. of solutions

    A
    -3/2 , 9/26
    B
    1 ,1
    C
    9/20 ,-3/2
    D
    -13/9 ,1/3
  • The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

    A
    `(1)/(sin(a-b))log|(sin(x-a))/(sin(x-b))|+c`
    B
    `(1)/(sin(b-a))log|(sin(x-a))/(sin(x-b))|+c`
    C
    `(1)/(sin(a-b))log|(sin(x-b))/(sin(x-a))|+c`
    D
    `(1)/(sin(b-a))log|(sin(x-b))/(sin(x-a))|+c`
  • If Y=((ax-b))/((x-4)(x-1)) has extreme value at (2,-1) then the value of (a+10b) must be

    A
    a)0
    B
    b)-1
    C
    c)-2
    D
    d)1
  • Similar Questions

    Explore conceptually related problems

    Let f(x) = {((x^2-4)/(x+2), x lt -3), (Ina, x=-3), (a+bx, x gt -3):} . For what value of a and b is f(x) continuous on the real line?

    Let f(x)=a x^2+bx +c a ,b ,c in R . If f(x) takes real values for real values of x and non-real values for non-real values of x , then (a) a=0 (b) b=0 (c) c=0 (d) nothing can be said about a ,b ,c .

    The value of int_a^b(x-a)^3(b-x)^4dx is

    let f(x)=-x^3+(b^3-b^2+b-1)/(b^2+3b+2) if x is 0 to 1 and f(x)=2x-3 if x is 1 to 3 .All possible real values of b such that f (x) has the smallest value at x=1 are

    int (a^x - b^x)/(a^x b^x) dx