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|, , , , , , , , , , , , aN, , 19. In the fig DE, , , , OQ and DF, , , , , , , , 5x —4y +8, 7x + 6y-9=0, s placed against a wall such that i, , , , 21. A ladder, the wall and its top reaches a window 6m'above the ground. Find length of the, ladder?, , 22. Find the co-ordinates of the point which divic, , , , , , the joinof (-1,7) and (4,, the ratio 2:3?, , 23. Find the distance between the point (2,3) , (4,1) ?, , , , 24.Check whether -150 is a term of an A.P 11,8,, , , , IV. Ans, 25. lf we add 1 to the num, reduces to 1. It becomes ¥% if we only add I to the denominator. What is the fraction?, , , , ver the followir, , tor and, , , , , , subtract 1 from the denominator, a fraction, , , , the vertices ofa, , , , ) and C (1, -6) and D( 4, , , , 26. IfA (15, 7) B(-4,, quadrilateral. Find the area of the quadrilateral ABCD?, , , , 27. Find the area of the triangle formed by the mid-points of the sides of the triangle, , whose vertices are (0,-1) (2;1) and (0,3 ). Find the ratio of this area to the area of the, , given triangle?, , 28. Prove that tangents drawn from an external point of a circle are equal?, , 29. Prove Thale’s theorem., , To be taken so that their sum 1s, , , , 30. How many terms of the series 54, 51,58., 573? Find the last term?