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Find the point so that the equation : 12...

Find the point so that the equation : `12x^2 -10xy + 2y^2 + 11x-5y+2=0` referred to parallel axes through it may transform into one from which terms of the first degree in x and y are absent.

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For what value of lambda does the equation 12x^2-10xy+2y^2+11x-5y+lambda=0 represent a pair of straight lines ? Find their equations and the angle between them.

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the point to which the origin should be shifted after a translati...

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  2. Find the point to which the origin should be shifted after a translati...

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  3. Find the point so that the equation : 12x^2 -10xy + 2y^2 + 11x-5y+2=0 ...

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  4. Simplify the equation x^2 + y^2 + 8x-6y -25=0 to the form Ax^2 + By^2 ...

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  5. Verify that the area of the triangle with vertics (2, 3), (5, 7) and (...

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  6. Find the equation of the family of lines satisfying the following cond...

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  7. Find the equation of the family of lines satisfying the following cond...

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  8. Find the equation of the family of lines satisfying the following cond...

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  9. Find the equation of the family of lines satisfying the following cond...

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  10. Find the equation of the lines passing through the point of intersecti...

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  11. Find the equation of the line passing through the point of intersectio...

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  12. Find the equation of the lines passing through the point (-4,5) and th...

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  13. Find the equation of the line through the intersection of lines 3x+4y=...

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  14. Find the equation of the lines passing through the intersection of 3x+...

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  15. Find the equation of the lines passing through the intersection of the...

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  16. Find the equation of the line passing through the intersection of the ...

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  17. Find the equation of the line passing through the point of intersectio...

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  18. Find the equation of the straight line parallel to the y-axis and draw...

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  19. Find the equation of the straight line parallel to the y-axis and draw...

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  20. Find the equation of the line passing through the intersection of the ...

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