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If the equation ax^2 + 2hxy + by^2 + 2gx...

If the equation `ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0` represents a pair of parallel lines, prove that
The distance between them is `2sqrt((g^2 - ac)/(a(a + b)))`

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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
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  2. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pa...

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  3. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pa...

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  4. The three points (-2, 2), (8, -2) and (-4,-3) are the vertices of :

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  5. The distance between the points (3, pi/4) "and" (7, (5pi)/4) is :

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  6. Let A(6, -1), B(1, 3) and C(x, 8) be three points such that AB = BC th...

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  7. The points (a + 1, 1), (2a + 1, 3) and (2a + 2, 2a) are collinear, if ...

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  8. If A = (3, 4) and B is a variable point on the lines |x| = 6 If AB le ...

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  9. The point of the axis of y which its equidistant from (-1, 2) and (3, ...

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  10. The co-ordinates of the middle points of the sides of a triangle are (...

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  11. The incentre of the triangle whose vertices are (-36, 7), (20, 7) and ...

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  12. If the orthocentre and centroid of a triangle are (-3, 5) and (3, 3) t...

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  13. A(a, b), B(x1, y1) and C(x2, y2) are the vertices of a triangle. If a,...

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  14. The equation of the locus of points equidistant from (-1,-1) and (4, 2...

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  15. The equation of the locus of a point which moves so that its distance ...

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  16. If the co-ordinates of a variable point P be (t +1/t, t - 1/t) where t...

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  17. If the co-ordinates of a variable point P be (cos theta + sin theta, s...

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  18. Transform the equation x^2 - 3xy + 11x -12y + 36 = 0 to parallel axes ...

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  19. The distance of the point (3, 5) from the line 2x + 3y - 14 = 0 measur...

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  20. The lines x cos alpha + y sin alpha = p1 and x cos beta + y sin beta ...

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