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Show that two lines a(1)x + b(1) y+ c(1)...

Show that two lines `a_(1)x + b_(1) y+ c_(1) = 0 " and " a_(2)x + b_(2) y + c_(2) = 0 " where " b_(1) , b_(2) ne 0 ` are :
(i) Parallel if `a_(1)/b_(1) = a_(2)/b_(2) `, and (ii) Perpendicular if `a_(1) a_(2) + b_(1) b_(2) = 0 `.

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The correct Answer is:
(i)` a_(2)/b_(2) , (ii) = 0 `
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NCERT BANGLISH-STRAIGHT LINES-Miscellaneous Exercise on Chapter 10
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  8. Find the equation of a line drawn perpendicular to the line x/4 + y/6 ...

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  9. Find the area of the triangle formed by the lines y - x = 0, x + y = 0...

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  10. Find the value of p so that the three lines3x + y - 2 = 0, px + 2y - 3...

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  11. If three lines whose equations are y = m(1) x + c(1) , y = m(2) x + c(...

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  12. Find the equation of the lines through the point (3, 2) which make an ...

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

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  14. Show that the equation of the line passing through the origin and maki...

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  15. In what ratio, the line joining (-1, 1) " and " (5, 7) is divided by ...

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  16. Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) a...

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  17. Find the direction in which a straight line must be drawn through the ...

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  18. The hypotenuse of a right angled triangle has its ends at the points (...

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  19. Find the image of the point (3,8) with respect to the line x + 3y = 7 ...

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  20. If the lines y = 3x + 1 " and " 2y = x + 3 are equally inclined to the...

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  21. If sum of the perpendicular distances of a variable point P(x, y) from...

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