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M.S.P Mandal's, Class : 11 (science), Time: 1:30 Hrs, Shri Muktanand College, Gangapur, Subject: Mathematics (40), Unit Test, Marks:25, Note: The question paper consists of 25 questions. each question carries 1marks. dark the circle properly. only one dark, circle will considered, More than one dark circle will not be considered., Q. Select the correct answer from the given alternatives, 1) If each of its interior angle is ( then the number of sides of a regular polygon is, O 5 0 10 © 15 @ 20, 2) If sin 0 = and 180° <e<270° then All Trigonometric functions of 6 is, © tan 0 =, cot 0 = tan e =, cote = © tan® =,cot0 =O tane =, cote =, %3D, %3D, %3D, 4, 3) If two angles of a triangle are, and, 18, then the degree and radian measure of third angle, 18, 4) The sum of three numbers is 15 if the second number is subtracted from the sum of first and third number then we get 5, when the third number is subtracted from the sum of twice the first number and the second number we get 4 then the three, numbers are, O 3,5, 10 O 5, 7,9 O 3,7,6 0 3,5,7, 5) If the following equations are consistent: kx + 3y+1= 0, x+ 2y +1 0, x+y= 0 then the value of k is, O 0 0 10 2 0 3, 6) If the given matrix is singular, then the value of k is, 7, 6, 7) The range of following data is 19, 27, 15, 21, 33, 45, 7, 12, 20, 26, O 52 O 38 © 33 O 57, 8) The variance for the following set of numbers: 65, 77, 81, 98, 100, 80, 129, © 380 © 90 © 390 O 340, 9) The equation of the circle with centre at origin and radius 4 is, O x2 + y2 = 4 O x² - y2 = 4 Ox2 + y? = 16 O x2 + y2 = 36, 10) If A (-5, 2) and B (4 , 1), then the equation of the locus of point P which is equidistant from A and B is, Ox - y + 6 = 0 O 9x + y- 6 = 0 © x + y-6 = 0 O 9x – y + 6 = 0, 11) A fair die is thrown 2 times, what is the probability that sum of the numbers on them is 5, 4, 4, 24, Scanned with CamScanner

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12) What is the chance that a leap year selected at random will contain 53 Sundays?, 7, 13) if A =, (6x2, {+ x-15 = 아}., 3- 5x – 3 = 0}, C={-x - 3 = 0} then A U BUC =, B =, (2x2, 14) If (x – 1, y + 4) = (1,2) then the value of x and y is, O x=1,y=2 O x=2,y=D1 x-2, y=2 0 x-2, y-2, 15) If f (m) = m? – 3m +1 , then f(-3) is, O 19 O 18 O 17 16, 16) If f(x) = 3x + 5, g(x) = 6x – 1, then (f +g)(x) is, O 4x +9 + 4 9x + 4 9x- 4, 17) If f(x) = 4[x] – 3, where [x] is General integer function of x , what is f (21) where t = 3.14, O 20 O 21 22 23, 18) If lim, = lim, then all possible values of a is, X-a, Vz+6, 19) Evaluate lim, Z--3, O - © V3 0 -V3, V3, V3, 20) All the points of discontinuity of f (x) = [x] on the interval(-3,2) are, O -2, -1,0 O -3, -2,-1 O-1,0,1 -2,-1,0,1, -D플 then f () is, V2+sinx-V3, 21) If f (x) =, for x # is continuous at x =, cos?x, 1, 4V3, 4/3, V3, 22) The derivative of v2x + 5 at x-2 w.r.t.x is, 1., 23) The derivative of y = Vx + tanx -x3 w.r.t.x is, 3x2 O, + sec2x - 3x2 @, 1, + secx + 3x2 0, + cosec?x+ 3x2, + cosecx -, 2Vx, dy, then, dx, x-4, 24) If y =, Vx+2, (VI+2)2, (Vx+2)2, x+4, x2-7x+10, 25) f (x) =, 2+2x-8 for x E [-6,-3], O fis discontinuous at x-2 Of is discontinuous at x= -4 9 f is discontinuous at x 0, O f is discontinuous at x= 2 & x= -4., Scanned with CamScanner