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. 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.

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Analytical Geometry> Find the distance of the point (0,2) from...

\tFind 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.\tFind 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.

Aniket Pathak , 10 Years ago

Grade 12

2 Answers

SHAIK AASIF AHAMED

Last Activity: 10 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

SHAIK AASIF AHAMED

Last Activity: 10 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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Analytical Geometry> Find the distance of the point (0,2) from...

\tFind 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.\tFind 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.

Aniket Pathak , 10 Years ago

SHAIK AASIF AHAMED

SHAIK AASIF AHAMED

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