the negative direction, then the co-ardinaes 42. The point to which the origin has to shifted to eliminate x and y terms in the equation Jr. MATHEMATICS of B after the rotation are 1) (2+42.0) 3) (0,42) 48. The point to which the origin is to be shifted to remove the first degree terms from the equation 2x +4.xy-6y +2x+8y+1=0 is 2) (2,42) 4) (42,0) 3(r-2) + 5(y+3) =6 is 2) (2,-3) 3) (2.3) 4) (-2,-3) 1D (-2,3) 43. The point to which the origin should be transformed so as to eliminate x and y terms in the equation 4x+9y -8x + 36y +4 =0 is (a.B), then the equation whose roots are a.B is 1) 88 2) 2) +x-2=0 1) -r-2=0 4) -x+2=0 4) 3) +x+2=0 44. If the origin of a coordinate system is shifted to (-2.2) and then the coordinate system 49. If the point P (4,1)undergoes a reflection in the line x- y = 0, then a translation through a distance of 2 units along the positive X-axis and finally projected on the X-axis, then the is rotated anticlockwise through an angle 45", the point P(1, -1) in the original system has new coordinates co-ordinates of P in the final position, is 1) 7.-2/2) 3) (0.-2-V2) 2) (0.-2/2) 4) (0.-2+ 2) 1) (3, 4) 2) (3, 0) 3) (1. 0) 4) (4, 3) ANSWERS 45. The point (2, 3) is first reflected in the straight line y =x and then translated through a distance of 2units along the positive direction of x-axis. The coordinates of the transformed point are 1)2 2) 4 3) 4 4) 3 5) 4 6) 4 7) 4 8) 4 9) 2 10) 2 11) 2 12) 3 13) 4 14) 4 15) 2 1) (5, 4) 2) (2, 3) 3) (5, 2) 4) (4, 5) 16) 2 17) 2 18) 1 19) 4 20) 3 46. The point to which the origin is to be shifted to eliminate x and y terms of the equation 21) 2 22) 4 23) 2 24) 3 25) 2 26) 3 27) 2 28) 3 29) 4 30) 3 4x +9y-8r +36y +4=0is 1) (1,3) 31) 2 32) 2 33) 2 34) 2 35) 1 2) (-4,3) 3) (-1,2) 4) (1.-2) 36) 4 37) 2 38) 1 39) 3 40) 4 47. Let A=(2,0) and B=(6,4) be two points. If 45) 3 41) 3 42) 2 43) 2 44) 3 AB is rotated about A through an angle 45 in 49)2 46) 4 47) 1 48) 3