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IF the pair of lines represented by `ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` intersect on the y-axis, then show that `2fgh-bg^(2)-ch^(2)=0`

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If the pair of line ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on the y-axis, then

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If the pair of lines ax^(2)+2hyx+by^(2)+2gx+2fy+c=0 intersect on the x-axis, then ac=

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AAKASH SERIES-PAIR OF STRAIGHT LINES-SOLVED EXAMPLES
  1. If S=ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two straight lines equi...

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  2. Let the equation ax^(2)+2hxy+2gx+2fy+c=0 represent a pair of parallel ...

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  3. IF the pair of lines represented by ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 int...

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  4. If two of the sides of a parallelogram are represented by ax^2+2hxy+by...

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  5. Find the equation to the pair of lines joining the origin to the point...

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  6. Show that the pair of lines joining the origin to the points of the in...

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  7. The chords of the curve 3x^(2)-y^(2)-2x+4y=0 subtend a right angle at ...

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  8. Find the equation of the pair of lines throughh the origin and forming...

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  9. Show that the lines x^(2)+16xy-11y^(2)=0 form an equilateral triangle ...

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  10. If (alpha, beta) is the centroid of the triangle, whose sides are ax^(...

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  11. The straight line lx+my+n=0 bisects and angle between the pair of line...

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  12. Two equal sides of an isoceles triangle are given by 7x-y+3=0 and x+y-...

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  13. Show that the product of the perpendicular from (alpha,beta) to the pa...

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  14. If the pair of lines ax^2+2hxy+by^2=0,ax^2+2hxy+by^2+2gx+2fy+c=0 form ...

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  15. If S=ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two straight lines equi...

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  16. Let the equation ax^(2)+2hxy+2gx+2fy+c=0 represent a pair of parallel ...

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  17. IF the pair of lines represented by ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 int...

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  18. If two of the sides of a parallelogram are represented by ax^2+2hxy+by...

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  19. Find the equation to the pair of lines joining the origin to the point...

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  20. Show that the pair of lines joining the origin to the points of the in...

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