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Grade 12Analytical Geometry

  1. Find the distance of the point (0,2) from the straight line with slope 5 and passing through the point of intersection of x+2y=5 and x-3y=7.
  2. Find the equation of the straight line passing through the point of intersection of the straight lines x-3y+1=0 and 2x+5y-9=0 and having infinite slope.

Profile image of Aniket Pathak
12 Years agoGrade 12
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2 Answers

Profile image of SHAIK AASIF AHAMED
12 Years ago
Hello student,
the point of intersection of equations is(29/5,-2/5)
given slope is 5
So eqn of line is y-y1=m(x-x1)
y+2/5=5(x-29/5)
Similarly you can solve the next question
Thanks and regards
Shaik Aasif
askIITians faculty
Profile image of SHAIK AASIF AHAMED
12 Years ago
Hello student,
the point of intersection of equations is(29/5,-2/5)
given slope is 5
So eqn of line is y-y1=m(x-x1)
y+2/5=5(x-29/5)
5x-5y-31=0
Distance from point (0,2) to above straight line is\frac{5(0)-5(2)-31}{\sqrt{5^{2}+5^{2}}}
=21/5sqrt(2)=2.96
Similarly you can solvethe next question
Thanks and regards
Shaik Aasif
askIITians faculty

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