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If the line xa+yb=1 passes through the points (2, –3) and (4, –5), then (a, b) is

(a) (1, 1)

(b) (–1, 1)

(c) (1, –1)

(d) (–1, –1)

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:

    Equation  of  line    through  the    (2,−3)  and  (4,−5)  is              y+3=−5+34−2(x−2)⇒         y+3=−22(x−2)⇒         y+3=−(x−2)⇒         y+3=−x+2⇒         x+y=−1⇒        x−1+y−1=1         (Intercept  form)∴       a=−1,  b=−1Hence,  the  correct  option  is  (d).

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