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If the equation `2x^2 + 2hxy + 6y^2-4x + 5y-6 = 0` represents a pair of straight lines, then the length of intercept on the x-axis cut by the lines is equal toA. 2B. 4C. `sqrt7`D. 0 |
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Answer» Correct Answer - B The x-coordinates of the points of intersection of the pair of lines by `2x^(2)+2hxy+6y^(2)-4x+5y-6=0` and x-axis are roots of the equation `2x^(2)-4x-6=0` or, `x^(2)-2x-3=0` `rArr" "(x-3)(x+1)=0 rArr x=-1, 3` Hence, required length `=|x_(1)-x_(2)|=4.` |
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