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Find the value of a if the points (1, 2)...

Find the value of a if the points (1, 2) and (3, 4) are of opposite side of the line 3x - 4y + a = 0

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Let f(x, y) = 3x - 4y + a = 0
so,` f(1, 2). F(3, 4) lt 0`
`implies (3-8+a)(9-16+a) lt 0`
`implies (a-5)(a-7)lt 0 implies 5 lt a lt 7`
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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. Find the equation of the line which passes through the point (3, 4) an...

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  2. A line passes through(2, 3), makes an angle (pi/4) with the positive d...

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  3. Find the value of a if the points (1, 2) and (3, 4) are of opposite si...

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  4. Find the equation of the straight lines passing through the point (2, ...

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  5. Line through the points (-2, 6) and (4, 8) is perpendicular to the lin...

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  6. Find the distance between the lines 5x -12y + 2 = 0 and -5x + 12y + 3 ...

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  7. Find the equations of line parallel to 3x + 4y + 2 = 0, at a distance ...

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  8. Find the foot of perpendicular drawn from the point (2, 2) to the line...

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  9. Find the bisector of the angle containing the point (1,-2) between the...

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  10. Find the bisector of the angle containing the point (1,-2) between the...

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  11. If a + 2b + 3c = 0, the family of straight lines ax + by + c = 0 passe...

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  12. Find the equation of the straight line passing through the point (2,0)...

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  13. The pair of lines joining the origin to the points of intersection of ...

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

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

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

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

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

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

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

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