CA Foundation Exam  >  CA Foundation Questions  >  The equation of the straight line through the... Start Learning for Free
The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is : 
  • a)
    X+12y=1
  • b)
    x-12y=1
  • c)
    x-12y=11
  • d)
    none 
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The equation of the straight line through the point of intersection of...
Given equation of straight lines:
x - 3y - 7 = 0 ---------(1)
x + 2y - 5 = 0 ---------(2)

Finding point of intersection of two lines:
On solving equations (1) and (2), we get
x = 17/5, y = 6/5

Therefore, point of intersection is (17/5, 6/5)

Equation of straight line passing through (1, 0) and the point of intersection:
Let the equation of required straight line be y = mx + c.

We know that this line passes through (1, 0). Therefore, we have
0 = m(1) + c
c = -m

Also, this line passes through (17/5, 6/5). Therefore, we have
6/5 = m(17/5) + c
6 = 17m - 5m
m = 6/12 = 1/2

c = -m = -1/2

Therefore, equation of the required straight line is
y = (1/2)x - 1/2, which is equivalent to
x - 2y + 1 = 0

Hence, the correct option is (a) X - 12y = 1.
Free Test
Community Answer
The equation of the straight line through the point of intersection of...
Explore Courses for CA Foundation exam
The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer?
Question Description
The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The equation of the straight line through the point of intersection of x+2y-5=0 and x-3y-7=0 and passing through the point (1, 0) is :a)X+12y=1b)x-12y=1c)x-12y=11d)noneCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev