HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
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Solution - The joint equation of the pair of lines passing through (2,3) and parallel to the coordinate axes is - HSC Science (Computer Science) 12th Board Exam - Mathematics and Statistics

Question

The joint equation of the pair of lines passing through (2,3) and parallel to the coordinate axes is

  1.  xy -3x - 2y + 6 = 0
  2. xy +3x + 2y + 6 = 0
  3. xy = 0
  4. xy - 3x - 2y - 6 = 0

Solution

(a)
Equation of the coordinate axes are x = 0 and y = 0.
The equations of the lines passing through (2, 3) and parallel to coordinate axes are,
x = 2 and y = 3.
i.e. x - 2 = 0 and y - 3 = 0
The joint equation is given as

(x-2)(y-3)=0

xy-3x-2y+6=0

Is there an error in this question or solution?

APPEARS IN

 2015-2016 (March) (with solutions)
Question 1.1.3 | 2 marks
Solution for question: The joint equation of the pair of lines passing through (2,3) and parallel to the coordinate axes is concept: null - Pair of Lines Not Passing Through Origin-combined Equation of Any Two Lines. For the courses HSC Science (Computer Science), HSC Science (Electronics), HSC Arts, HSC Science (General)
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