1. 2. 3. (c) 11 Let f : R R be a continuous function such that...

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1. 2. 3. (c) 11 Let f : R R be a continuous function such that f(3x)-f(x) =. If f(8) = 7, then f(14) is equal to: (a) 4 (b) 10 (d) 16 Let O be the origin and A be the point z = 1 + 2i. If B is the point zz, Re(zz) <0, such that OAB is a right angled isosceles triangle with OB as hypotenuses, then which of the following is NOT true? (a) arg z-tan 3 (c)|z2|=10 If the system of linear equations. 8x + y +4z=-=-2 x+y+z=0 - 34 = has infinitely many solutions, then the (b) arg(z1-2)=-tan4 3 (d) |2z, -z|=5 from the plane 8x+y+ 4z + 2 = 0 is: (a) 35 4. (b) 4 (c) 20 9 10 (d) 3 Let A be a 2 2 matrix with det(A)=-1 and det ((A+1)(Adj (A)+1))=4. Then the sum of the diagonal elements of A can be: (a)-1 (b) 2 (c) 1 (d) -2 The odd natural number a, such that the area of the region bounded by y = 1, y = 3, x = 0, x = y 5. 364 is is equal to: 3 (a)-1 (b) 5 (c) 1 (d)-2 1. 2. 3. (c) 11 Let f : R R be a continuous function such that f(3x)-f(x) =. If f(8) = 7, then f(14) is equal to: (a) 4 (b) 10 (d) 16 Let O be the origin and A be the point z = 1 + 2i. If B is the point zz, Re(zz) <0, such that OAB is a right angled isosceles triangle with OB as hypotenuses, then which of the following is NOT true? (a) arg z-tan 3 (c)|z2|=10 If the system of linear equations. 8x + y +4z=-=-2 x+y+z=0 - 34 = has infinitely many solutions, then the (b) arg(z1-2)=-tan4 3 (d) |2z, -z|=5 from the plane 8x+y+ 4z + 2 = 0 is: (a) 35 4. (b) 4 (c) 20 9 10 (d) 3 Let A be a 2 2 matrix with det(A)=-1 and det ((A+1)(Adj (A)+1))=4. Then the sum of the diagonal elements of A can be: (a)-1 (b) 2 (c) 1 (d) -2 The odd natural number a, such that the area of the region bounded by y = 1, y = 3, x = 0, x = y 5. 364 is is equal to: 3 (a)-1 (b) 5 (c) 1 (d)-2