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 If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is (3, 2), then the equation of the line will be

(a) 2x + 3y = 12

(b) 3x + 2y = 12

(c)  4x – 3y = 6

(d)  5x – 2y = 10

0 3 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    3 months ago

    This is a Objective Type Questions as classified in NCERT Exemplar

    Sol:

    Let  the  given  line  meets  the  axes  at  A(a,0)  and  B(0,b).Given  that  C(3,2)  is  the  mid  of  AB∴           3=a+02     ⇒a=6and     2=0+b2     ⇒b=4Intercept  form  of  the  line  AB    xa+yb=1⇒           x6+y4=1        ⇒2x+3y=12Hence,  the  correct  option  is  (a).

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