36, The angle of rotation of axes to remove xy Ne in the equation 3 -2/3zy+9,...

 

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36, The angle of rotation of axes to remove xy Ne in the equation 3 -2/3zy+9, = 10 is eli 27. If the axes are rotated through an angle 30 about the origin then thhe transfomered equation of +2Viy -- 2a in 1) x +ya 3) + y2a 4) 3( 3) 3. 2) 6. 1) 37. If the transformed equation of a curve X-2XPan -Ya, when the axes are rotat 1) 2. 2)-ya 4) -y= 2a 43. 28. The transformed equation of S+ 4ry + 8y- 12- 12y 0 when axes are translated to the through an angle a, then the original equatin 1)+y =a cos 200 2) x-y =a' cos2e 3) +a sy' cos 2a 4) x-a = y' con 2a of the curve is point %3D IS 1) S + 4xy + Sy3 2) S+4ry + 8y= 6 3) S + 4xy + 8y=9 29. The y term in the equation 3 +y= 2 is 38. The condition for the equation ar + 2hay + by +2gx +2 fy +c=0 can tat. the form ar +2hxy + by =0 by translationo 4) Se+ 4ry + 8y12 44. femoved by saitable rotation of axes. The angie of rotation is 1) abe +2 fgh-af - bg-ch =0 2) 2byh - ab - by -ch? =0 3) abc-ab -by -ch =0 origin is 1) 90° 2) 60 3) 45 4) 30 30. The transformed equation of 4xy-3x= . when the axes are rotated through an angle Tan2 is 4) abc +2gh = 0 1) 2XY+ a = 0 3) X 4Y = a 31. By translating the axes the equation = 6 has changed to xy = k then k 1) 2 32. The angle of rotation of the axes so that the 2) XY = 4) 2Y - X' + a = 0 39. When the origin shifted to a suitable point P. the equation 2r + y -4x+4y=0 trans formed as 2) 4 3) 16 4) 8 2 +y -8r +8y+18 =0. then P = 1) (1,2) equation 3x- y + 5 = 0 may be reduced the 2) (1.-2) 3) (-1.2) 4) (-1,2) 40. If the axes are rotated through angle of 30 in the clockwise direction, the point (4,23) in the new system is form y = k is 1) 2) 3) 4) 33. The origin is shifted to (1,2). The equation -8x-4y+12=0 changes to y sdax then a= 2) 2 2) (2. 3) 3) 3,2) 4) (3.5) 41. The point (3, 2) undergoes the following 3 transformation in the order given 1) (2,3) 1) 1 3)-2 4) -1 If the point (2.-12) was transformed as io 2) by rotation of axes at un angle 6. then i) Reflection about the line y=x ii) Translation by the distance I unit in the 1) = 2) 0= 3) 0= 4)8=. 12 positive direction of x-axis 35. When the origin is shifted to the point (3,3). The coordinates of P.Q.R are (5,5), (-2,4). (7. -7) in the new system, then the area of the triangie formed by coordinates in old system m) Rotation by an angle about the origin in the aniticlock wise direction. Then the final position of the point is 1) (18,V18) is 2) 23 3) 45 1) 43 4) 50 3) (0,J18) 2) (-2, 3) 4) (0, 3) 36, The angle of rotation of axes to remove xy Ne in the equation 3 -2/3zy+9, = 10 is eli 27. If the axes are rotated through an angle 30 about the origin then thhe transfomered equation of +2Viy -- 2a in 1) x +ya 3) + y2a 4) 3( 3) 3. 2) 6. 1) 37. If the transformed equation of a curve X-2XPan -Ya, when the axes are rotat 1) 2. 2)-ya 4) -y= 2a 43. 28. The transformed equation of S+ 4ry + 8y- 12- 12y 0 when axes are translated to the through an angle a, then the original equatin 1)+y =a cos 200 2) x-y =a' cos2e 3) +a sy' cos 2a 4) x-a = y' con 2a of the curve is point %3D IS 1) S + 4xy + Sy3 2) S+4ry + 8y= 6 3) S + 4xy + 8y=9 29. The y term in the equation 3 +y= 2 is 38. The condition for the equation ar + 2hay + by +2gx +2 fy +c=0 can tat. the form ar +2hxy + by =0 by translationo 4) Se+ 4ry + 8y12 44. femoved by saitable rotation of axes. The angie of rotation is 1) abe +2 fgh-af - bg-ch =0 2) 2byh - ab - by -ch? =0 3) abc-ab -by -ch =0 origin is 1) 90° 2) 60 3) 45 4) 30 30. The transformed equation of 4xy-3x= . when the axes are rotated through an angle Tan2 is 4) abc +2gh = 0 1) 2XY+ a = 0 3) X 4Y = a 31. By translating the axes the equation = 6 has changed to xy = k then k 1) 2 32. The angle of rotation of the axes so that the 2) XY = 4) 2Y - X' + a = 0 39. When the origin shifted to a suitable point P. the equation 2r + y -4x+4y=0 trans formed as 2) 4 3) 16 4) 8 2 +y -8r +8y+18 =0. then P = 1) (1,2) equation 3x- y + 5 = 0 may be reduced the 2) (1.-2) 3) (-1.2) 4) (-1,2) 40. If the axes are rotated through angle of 30 in the clockwise direction, the point (4,23) in the new system is form y = k is 1) 2) 3) 4) 33. The origin is shifted to (1,2). The equation -8x-4y+12=0 changes to y sdax then a= 2) 2 2) (2. 3) 3) 3,2) 4) (3.5) 41. The point (3, 2) undergoes the following 3 transformation in the order given 1) (2,3) 1) 1 3)-2 4) -1 If the point (2.-12) was transformed as io 2) by rotation of axes at un angle 6. then i) Reflection about the line y=x ii) Translation by the distance I unit in the 1) = 2) 0= 3) 0= 4)8=. 12 positive direction of x-axis 35. When the origin is shifted to the point (3,3). The coordinates of P.Q.R are (5,5), (-2,4). (7. -7) in the new system, then the area of the triangie formed by coordinates in old system m) Rotation by an angle about the origin in the aniticlock wise direction. Then the final position of the point is 1) (18,V18) is 2) 23 3) 45 1) 43 4) 50 3) (0,J18) 2) (-2, 3) 4) (0, 3)