By Rakesh, Gupta
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Extra info for A Comprehensive Text Book Of Applied Mathematics
2,:) 46 b. (4, ;) are c. J3) c. (J2, ~~) 4 b. (J2, 341t) C. ~) d. (2, ;) are 1t (4, 23 ) 1t d. (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.
0,-2) N X' o X Y' /39/ 23. For what values of K the distance between the points (2,k) and a. 24. 3$ b. -$ c. J5) d. 2$ 25. The distance between (-l,a) and (5,5) is 10 unit, the value of a is a. -3 b. 13 c. both (a) and (b) d. 4 The points (6,1); (-2,1) and (2,-4) are the vertices of a triangle which is a. Isosceles b. Scalene c. Equilateral d. not form a triangle 26. j3,-1) and a. Isosceles b. Scalene d. J3,5) is 6 units are the vertices of a triangle which is c. Equilateral 27. The points (-1,-3); (5,5); (-3,1) are the vertices of a triangle which is d.
Ghtline II to x-axis, x-intercept = 0 (b) For a straight line II to y-axis, y-intercept = 0 (d) For a straight line (inclined) passing through the origin, x- intercept and y-intercept both are zeros. e. m 1 =m2 o Thus for two lines to be parallel their inclinations and their slopes should be equal. x Q s Conditions for two lines to be perpendicular to each other. Let two straight lines PQ and RS intersects each other at point T such that PQ and RS are mutually perpendicular to each other. ,' Exterior angle of a triangle is equal to the sum of interior opposite angles] or or 82 -8 1 = 90° tan (82 -8 1) = tan90°.
A Comprehensive Text Book Of Applied Mathematics by Rakesh, Gupta