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Show that the pairs of straight lines `2x^2+6x y+y^2=0` and `4x^2+18 x y+y^2=0` have the same set of angular bisector.

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Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+y^2=0 are equally inclined,then b is equal to

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The equation of a line which is parallel to the line common to the pair of lines given by 6x^2-x y-12 y^2=0 and 15 x^2+14 x y-8y^2=0 and at a distance of 7 units from it is 3x-4y=-35 5x-2y=7 3x+4y=35 2x-3y=7

The equation of a line which is parallel to the line common to the pair of lines given by 6x^2-x y-12 y^2=0 and 15 x^2+14 x y-8y^2=0 and at a distance of 7 units from it is 3x-4y=-35 5x-2y=7 3x+4y=35 2x-3y=7

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by 3x^2+8x y-3y^2=0 3x^2+10 x y+3y^2=0 y^2+2x y-3x^2=0 x^2+2x y-3y^2=0

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (1) 3x^2+8x y-3y^2=0 (2) 3x^2+10 x y+3y^2=0 (3) y^2+2x y-3x^2=0 (4) x^2+2x y-3y^2=0

Show that the circles x^2 + y^2 - 2x-6y-12=0 and x^2 + y^2 + 6x+4y-6=0 cut each other orthogonally.

Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+6y-4=0

Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+6y-4=0

Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+6y-4=0

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  3. Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+...

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