2nd Year Maths Guess Paper

• Here are the detailed 2nd Year Maths Guess Paper to help you prepare for your exams.
• If f(–x) = –f (x) for every number x in the domain of f, then f is: a. linear function b. periodic function c. odd function d. even function
• If f(–x) = f(x), then f(x) is called: a. even function b. odd function c. parametric function d. inverse function
• If f(x) = x³ – 2x² + 4x – 1, then f(–2):   a. 14   b. –14   c. –25  d. 25 
• If x = at2 and y = 2at are equations of a curve then "t" is called: a. variable b. constant c. parameter d. coefficeint
• Domain of f (x) = x² + 1. a. R b. R – { 1 } c. R – { –1 } d.
• The linear function f(x) = ax + b becomes constant if: a. a = 10, b = 0 b. a = 1, b = 0 c. x = 1, b = 0 d. x = 10, b = 0
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• If f(x) = x³ + x, then f(x) is: a. Constant function b. Even function c. Odd function d. Implicit function
• If f(x) = sin x then f'(0) = _______. a. 1 b. 2 c. –1 d. –2
• If f'(c) = 0, then f has relative maximum at x = c if: a. f"(c) > 0 b. f"(c) < 0 c. f"(c) = 0 d. f"(c) > 0
• Both relative maximum and relative minimum are called in general: a. greatest value b. least value c. relative extrema d. maxima 
• The centroid of a triangle divides each median in the ratio: a. 2:1 b. 1:2 c. 3:1 d. 1:3
• Which one is equation of straigt line perpendicular to x-axis?   a. x = k    b. y = k    c. x + y = k   d. x – y = k
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• Define function with examples.
• What is polynomial function?
• Describe parametric function with example.
• Define odd function?
• What is an even function?
• Define left hand limit.
• Define right hand limit.
• Define rational function with example.
• Define explicit function.
• Prove that Lim x→0 √x+a-√a 1 2√a =
• Define implicit function.
• Evaluate Lim √x-√2 x 2 x-2
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• Determine whether the function f(x) = x³-x x²+1 is even or odd.
• Evaluate Lim x→0 secx-coS X X
• Express area A of a circle as a function of its circumference.
• Express perimeter P of a square as a function of its side x.
• State the sandwich theorem.
• Define continuity of a function f (x) at x = a.
• A stone falls from a height of 60m on the ground, the height h after x second is approximately given by h(x) = 40 – 10x².
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• (i) What the the height of the stone when (a) x = 1 sec (b) x = 1.5 sec (c) x = 1.7sec (ii) When does the stone strike the ground?
• Find the lengths of the sides of a variable rectangle having area 36cm² when its perimeter is minimum.
• Find the dimensions of a rectangle of largest area having perimeter 120 cm. 
• Describe the location in the plane of the point P(x,y)for which
• Write down an equation of the line which cuts x–axis at (2,0) and y–axis at (0, –4)
• Check whether the points A (5,8) lies above or below the line 2x – 3y + 6 = 0.
• y-intercept - 7 & slope - 5
• Find the equation of the line passing through (–5, –3) and (9, –1).
• By means of slope show the points lie on the same line A(-1, -3) B(1, 5), C(2, 9)