2nd Year Math MCQs

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• If y = tan^-1 x + cot^-1 x then dy/dx = (a) 1  (b) zero (c) x (d) 2/ sqr(1-x^2)
• Angles of line passing through (5, 11) and is (-2, 4) with x - axis: (a) 45° (b) 135° (c) 90°  (d) 225°
• An expression involving any one of the symbols <, >,<=,>= , is called: (a) linear equation  (b) Inequation  (c) Identity  (d) Equation  
• If a^2 (1+m^2 ) - c^2 = 0 then points of contact of y = mx + c and x^2 + y^2 = a^2 are:  (a) Real and coincident    b) Imaginary  (c) Real and distinct  (d) Unequal
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• The centre of circle x^2 + y^2 + 12x - 10y = 0: (a) (6, -5) (b) (-6, -5) (c) (-6, 5) (d) (6, 5) 
• Gradient of straight line 3y = 2x + 5 is:  (a) 2/3 (b) 3/2 (c) -2/3 (d) 1/3
• A linear inequality concerning the problem from everyday life is named as:  (a) Problem constraint  (b) Problem constraints  (c) Non-negative constraints  (d) Linear Programming
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• The derivative of cos^-1 x at x = 0 is: (a) zero   (b) -1   (c) 1   (d) 2 
• (1, 0) is not the solution of inequality:  (a) 7x + 2y < 8 (b) x - 3y < 0 (c) 3x + 5y < 7 (d) 3x + 5y < 5
• The notation Df(x) is used for derivative by:  (a) Leibniz  (b) Newton  (c) Lagrange  (d) Cauchy
• If y = x^2 - 1, then dy is:  (a) 2xdx  (b) (2x - 1) dx   (c) 2xdy   (d) (x^2 - 1) dx
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• The minimum value of  f(x) = x^2 - x - 2 is: (a) -4/9  (b) 4/9  (c) -9/4  (d) 9/4
• If (3, 1) and (5, 1) are end points of diameter of a circle. Then coordinates of centre are: (a) (1, 4)  (b) (-4, 1)   (c) (4, 1)   (d) (-4, -1)
• The approximate value of e is:  (a) 2.8 (b) 2.7123 (c) 2.718281 (d) 2.7
• If the centre of the circle is the origin then equation of circle is: (a) x^2 - y^2 = r^2  (b) x^2 + y^2 = r^2 (c) x^2 + y^2 = r (d) y^2 - x^2 = r^2
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• The graph of x^2/4 + y^2/9 =1 is symmetrical about:  (a) x - axis (b) y - axis (c) Origin (d) Both axes and origin
• The line segments formed by joining the mid points of the sides of a quadrilateral taken in order form:
• (a) Trapezium    (b) Cube     (c) Parallelogram      (d) Square
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• If f: X -->Y then set X is called: (a) Domain (b) Range (c) Dependent variable (d) Co-domain
• The position of point (5, 8) with respect to the line 2x - 3y + 6 = 0 is:  (a) Above (b) Below (c) One the line (d) None
• (0, 0) is in the solution of inequality:  (a) 7x + 2y > 3 (b) x - 3y > 0 (c) 3x + 5> 7 (d) 3x + 5y < 7
• Every homogeneous second degree equation ax + 2hxy + by = 0 represents a pair of:  (a) circles (b) parabolas (c) lines (d) ellipse
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• The system of linear inequalities involved in the problem concerned are called: (a) Problem constraints (b) Solution (c) Coefficients (d) Half plane
• If y = 0 then point P(x, y) lies on: (a) y - axis (b) x - axis (c) Origin (d) Centre 
• ax + b >= 0 is a/an : (a) Equation (b) Inequality (c) Linear equation (d) Identity
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• length of the vector 2i+j+2k is:  (a) 4 (b) 3 (c) 2 (d) 5