Page 1 - CH 10 STRAIGHT LINE WORK SHEET
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PRACTICE QUESTIONS
            1.  The ratio in which the line 3x + 4y + 2 = 0 divides the distance between the lines 3x + 4y + 5 = 0 and
               3x + 4y – 5 = 0  is
               (A)   1 : 2       (B)  3 : 7        (C)  2 : 3      (D) 2 : 5
            2.  One vertex of the equilateral triangle with centroid at the origin and one side as
               x + y – 2 = 0 is

               (A)   (–1, –1)    (B)  (2, 2)       (C)  (–2, –2)   (D) (2, –2)
            3.  The line which cuts off equal intercept from the axes and pass through the point (1,  –2) is----
               ------.
            4.  Equations of the lines through the point (3, 2) and making an angle of 45° with the line x – 2y =  3
               are     .

            5.  Show that the line through (1, 1) and (2, 2) is perpendicular to the line through (1, 2) and (2, 1).
            6.  Find the equation of the straight line passing through the point (0, 2) and with slope-2
            7.  Find the angle between the lines  x - 2 y + 3 = 0 and 3 x +  y - 1 = 0.
            8.  Without using the Pythagoras Theorem, show that (4, 4), (3, 5), (-1, -1) are the vertices of a right-
               angled triangle.
            9.  Find the equation of the right bisector of the line joining (1, 1) and (3, 5).
            10. Find the equation of the straight line which passes through the points (3, 4) and have intercepts
               on the axes, such that their sum is 14.
            11. Find the distance of the point (2, -5) from the line 3x - 4y - 25 = 0
            12. Find the equation of the straight line which passes through the points (-4, 6) and
               (8, -3) and also find the length intercepted between the coordinate axes.
            13. A straight line passes through the points (a, O) and (O, b). The length of the line segment between
               the axes is 13 and the product of the intercepts on the axes is 60. Calculate the values of a and b
               and find the equation of the straight line.
            14. Show that the image of the point (3, 8) in the line x + 3y = 7 is (-1, -4).
            15. Reduce the equation on 3x - 4y - 26 = 0 in the following forms: (a) Normal (b) Slope form (c)
               intercept form.
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