By Rakesh, Gupta
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Extra resources for A Comprehensive Text Book Of Applied Mathematics
4, 43 ) (~i,~l 2) d. j3,--4) are c. 49. (2, The polar co-ordinates of point (-1,-1) are a. 48. (2, :) The polar co-ordinates of a point a. (4,:) 47. b. 11t) l,6 The cartasian co-ordinates of point (3,30 )are a. lJ [ 3~3 2'2 b. J3] 2 d. both (b) and (c) /41/ 50. 0 The cartasian co-ordinates of point (2,120 )are a. 51. 53. 55. 56. 57. (2,-F3) b. 61. 62. (-F3,1) d (2,F3) ) are c. (2,2F3) d (-1,-1) +y2 = 2ax into polar co-ordinate system is b. r2 = 2acos 8 c. r = 2asin 8 d. r2 =2asin 8 The transfunn ed equat::bn ofX2 The transformed equation of y2=4ax into polar co-ordinate system is a.
Axl + bX2 +cx 3 , aYl + bY2 +CY3) a+b+c a+b+c d. (Xl +x2 +x3 , Yl +Y2 +Y3) 3 3 If A (Xl' Yl); B(x2, Y2) and C(x3' Y3) are the vertices of a triangle ~ ABC, BC = a, AC = b, AB = c, then incentre of triangle ABC is given by. c. ( axl + bX2 + cx 3 , aYl + bY2 +cY3 ) a+b+c a+b+c /43/ (1) (7) (13) (19) (25) (31) (37) (43) (49) (55) (61) (67) c d b d a b c c a d d d (2) (8) (14) (20) (26) (32) (38) (44) (50) (56) (62) (68) b a d d c a b c b c b b (3) (9) (15) (21) (27) (33) (39) (45) (51) (57) (63) (69) - ANSWERSa (4) a b (10) b a (16) b b (22) c c (28) d c (34) d c (40) d d (46) c b (52) d c (58) b a (64) c c (70) d (5) (11) (17) (23) (29) (35) (41) (47) (53) (59) (65) (71) b a b c d b a a a a d c (6) .
0,0) 1be point (2,5) represent the co-ordinates of which system? b. Polar-co-ordinate system a. Cartasian or rectangular system d. None of these c. Both a and b. The point (4,30°) represent the co-ordinates of which system? b. Polar co-ordinate system a. Cartasian or rectangular system c. Pedal co-ordiante system d. None of these /38/ ~) represent the co-ordinates of which system? 17. The point (6 A 18. a. Cartasian or rectangular system b. Polar co-ordinate system c. Pedal CO-
A Comprehensive Text Book Of Applied Mathematics by Rakesh, Gupta