Solve 14:06 80% X Municipality Examination Class Annual Exam 2078/079 FM75 Sub Code: Mat.0071 Subject: Maths Time: 3 hrs Attempt all the questions Group A' [11 * 1 = 11] Choose the correct alternative. 1) A compound statement which is always true, whatever may be the truth values of its componentsis known tautology contradiction 2The sum of three cube roots of unity is equal to inverse d) contrapositive 2 None of the above 3Which one of the following is a projection ? a ) cos A = (i * c ^ 2 + c ^ 2 - a ^ 2)/(2bc); mathfrak b - a sin A = b sin theta = c sin xi =2R; sin(A/2) \approx sqrt(((s - b)(s - c))/(bc)) d a = b * cos C + c * cos B; 8x+15y+24=0i5.y^ 10; aligned c)1\\ d 5 aligned .com 4The length of perpendicular drawn from the point (2,3) to the line 20 5The equation of the tangent to the circle x ^ 2 + y ^ 2 = 25 at the point (3,4) is 4y25 4x3y25 (b) - 3x + 4y = 25; 4x + 3y = 25 6) if vec a =(5,3) (-2-3), then they vector along 2d+3 overline b is; (4, 6); (2/5, 11/5) 7The probability that year selected at random contains 53 Sundays 1/7 * 3/7; 2/7 None of the above The value of 11/3 2r=0 1-cx/8x x^ 2 equal to Nepalenotes n1 2 01 8 d) None of the above The derivative of log(ax + b) is 1/(ax + 2); b) z ar+b; a/(a + b ^ 2); b/(ax + b) 10) For the inequality of the type Ax <= b , the new introduced non -negative variable such that Ax + r = b*lambda called Surplus variable both of the above bslack variable d none of the above 11) If the total cost of producing units of items is C() 25000+ , then the fixed cost is 20000 b 22000 d) 30000 Qunpapers.nepalenotes.com 2 of 3Nepal