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Time : 1 hr., 3 Marks Questions Mi, Attempt all the questions:, , Q.1. Aisa point on the x-axis and B is (-7, 9). Distance between the points A and B is 15 units. Find the ¢, of point A., , Q.2. Use graph paper for this question. Draw the graph of 3x — 2y = 5 and 2x = 3y on the same axe, = 1 unit on the both the axes and plot only 3 points per line. Write down the co-ordinates of, intersection of the two lines. Also find the area of the triangle formed by the lines and the y-axis., , Q.3. Given three points P(-1, 2), A(2, k) and B(k, -1). Given that PA = PB. Find the value of k., , Q.4. Find the coordinates of the points on Y-axis which are at a distance of 52 units from the point 6,8, , Q.5. Ifthe point P(x, y) is equidistant from the points A(a + b, b - a) and B(a —b, a + b), prove that bx, , Q.6. Find the value of y for which the distance between the points P(2,-3) and Q(10, y) is 10 units., , Q.7. Draw the graph of y = -2x +1, , %R) 4 Marks Questions, , Q.8. Solve graphically the following system of linear equations (use graph sheet):, x-3y =3, , 2x + 3y = 6, Also, find the area of the triangle formed by these two lines and the y-axis.