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Show that the product of the perpendicul...

Show that the product of the perpendicular from (alpha,beta) to the pair of lines `S-= ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` is `(|aalpha^(2)+2halphabeta+2galpha+2fbeta+c|)/(sqrt((a-b)^(2)+4h^(2)))` Hence or otherwise find the product of the perpendicular from the origin

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AAKASH SERIES-PAIR OF STRAIGHT LINES-SOLVED EXAMPLES
  1. Let the equation ax^(2)+2hxy+2gx+2fy+c=0 represent a pair of parallel ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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    |