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If ax^(2) + 2hxy + by^(2) = 0 represents...

If `ax^(2) + 2hxy + by^(2) = 0` represents two straight lines such that slope of one line is twice the slope of the other, prove that `8h^(2) = 9ab.`

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The correct Answer is:
`8h^(2)=9ab`.
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PAIR OF STRAIGHT LINES -EXERCISE - 4(a) II.
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  2. Show that the following pairs of lines are equally inclined to each ot...

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  3. Show that the following pairs of lines are equally inclined to each ot...

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  4. Find the value of h if the slopes of the lines represented by 6x^(2)+2...

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  5. If ax^(2) + 2hxy + by^(2) = 0 represents two straight lines such that ...

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  6. Show that equation of pair of lines passing through origin and making ...

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  7. Find the equation to the pair of lines passing through origin and maki...

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  8. Show that the lines (x+2a)^2-3y^2=0,x=a form an equilateral triangle.

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  9. Show that pair of bisectors of angles between the lines (ax + by)^(2) ...

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  10. The adjacent sides of a parallelogram are 2x^(2)-5xy+3y^(2)=0 and one ...

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  11. Find the centriod and hence find the area of the triangle formed by th...

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  12. Find the centriod and hence find the area of the triangle formed by th...

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  13. Find the equation of pair of lines intersecting at (2, -1) and Perp...

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  14. Find the equation of pair of lines intersecting at (2, -1) and Perp...

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  15. Find the equation of the bisector of the acute angle between the lines...

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  16. Find the equation of bisector of the obtuse angle between the lines x+...

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