Maths-
General
Easy

Question

The equation of the line concurrent with the pair of lines 3 x y minus 2 y squared minus 7 x plus y plus 3 equals 0 is

  1. x-y+1=0
  2. x-y+2=0
  3. x=y
  4. y=x-1

hintHint:

Find the intersection point and choose option that satisfy the point of intersection.

The correct answer is: x=y


    Given That:
    The equation of the line concurrent with the pair of lines 3 x y minus 2 y squared minus 7 x plus y plus 3 equals 0 is
    >>> The point of intersection of the pair of straight lines becomes:
    p(x, y) = left parenthesis fraction numerator h f minus b g over denominator a b minus h squared end fraction comma fraction numerator h g minus a f over denominator a b minus h squared end fraction right parenthesis
    left parenthesis fraction numerator begin display style 3 over 2 end style cross times begin display style 1 half end style minus 2 cross times begin display style 7 over 2 end style over denominator negative begin display style 9 over 4 end style end fraction comma fraction numerator begin display style 3 over 2 end style cross times begin display style fraction numerator negative 7 over denominator 2 end fraction end style over denominator negative begin display style 9 over 4 end style end fraction right parenthesis
    left parenthesis fraction numerator begin display style 3 over 4 end style minus 7 over denominator begin display style fraction numerator negative 9 over denominator 4 end fraction end style end fraction comma fraction numerator begin display style fraction numerator negative 21 over denominator 4 end fraction end style over denominator begin display style fraction numerator negative 9 over denominator 4 end fraction end style end fraction right parenthesis
    left parenthesis 3 comma 3 right parenthesis
    >>> Therefore, the point of intersection becomes:
    p(x, y) = (3,3)
    >>> Therefore, we can say that x=y.
    >>> Hence, x=y is the the line that is concurrent with the pair of straight lines.

    Hence, x=y is the the line that is concurrent with the pair of straight lines.

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