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Grade 12th PassAnalytical Geometry

Equation of a line which is parallel to the line common to the pair of lines 6x2-xy-12y2=0 and 15x2+14xy-5y2=0 and at a distance of 7 from it is

a.3x+4y=35

b.3x-2y=7

c.3x+4y=-35

d.2x-3y=7

Profile image of Menka Malguri
14 Years agoGrade 12th Pass
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2 Answers

Profile image of Jaskaran Singh
14 Years ago

I think that the question is wrong as there is no line common to both the given equations. 

Profile image of Ashwin Muralidharan IIT Madras
14 Years ago

Hi Menka,

 

The first eqn can be factorised as (3x+4y)(2x-3y) = 0.

The other pair of straight lines, has slopes that is irrational.

 

And hence there is no common line for these two pairs of St Lines.

 

There's some error in the question.

 

Regards,

Ashwin (IIT Madras).

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