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Show that the equation x^(2) - 16xy - 11...

Show that the equation `x^(2) - 16xy - 11y^(2) = 0` represents a pair of lines through the origin, each making an angle of `30^(@)` with the line `x + 2 - 1 = 0`

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-PAIR OF STRAIGHT LINES -Examples for Practice
  1. Find the separate equations of the lines represented by : (1) 3x^(...

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  2. Find the combined equation of te lines : (1) Through the origin havi...

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  3. Find the combined equation of the lines passing through the origin suc...

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  4. If slopes of lines represented by kx^(2)+5xy+y^(2)=0 differ by 1, then...

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  5. If 2x + y = 0 is one of the lines represented by 3x^(2) + kxy + 2y^(2)...

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  6. Find the value of k, if the slope of one of the lines given by 4x^(2) ...

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  7. If m(1) and m(2) are slopes of lines represented by equation 3x^(2) + ...

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  8. If the lines px^(2) - qxy -y^(2) = 0 make the angles alpha and beta wi...

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  9. Find the measure of the acute angle between the lines represented by x...

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  10. If the slope of one of the lines given by ax^(2) + 2hxy + by^(2) = 0 ...

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  11. Find the combined equation of the lines through the origin : (1) ea...

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  12. Show that the equation x^(2) - 16xy - 11y^(2) = 0 represents a pair of...

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  13. Find the combined equation of the pair of lines through the origin and...

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  14. IF the slope of one of the lines given by ax^(2) + 2hxy + by^(2) = 0 i...

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  15. Find the joint equation of the pair of lines through the origin and ma...

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  16. Show that the equation 2x^(2) + xy - y^(2) + x + 4y - 3 = 0 represents...

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  17. Show that the equation 9x^(2) - 6xy + y^(2) + 18x - 6y + 8 = 0 represe...

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  18. Find k, if each of the following equation represents a pair of lines :...

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  19. Find p and q, if the following equation represent a pair of lines perp...

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  20. Find p and q, if the equation px^(2) - 6xy + y^(2) + 18x - qy + 8 = 0 ...

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