Mathematics MCQs for Class 12 with Answers

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• The endpoints of minor axis of the ellipse are called: a) Vertices b) Foci c) Convertices d) All 
• The feasible solution which maximizes or minimizes the objective function is called: a) Optimal solution b) Feasible solution c) Objective solution d) Solution
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• ax + by c is a linear inequality in: a) Three variables b) Two variables c) One variable d) Four variables 
• Measure of the central angle of a minor are is double the measure of angle subtended in the corresponding: a) Major arc b) Circle c) Segment d) Sector
• The slop of vertical line is:  a) 1     b) zero     c) undefined     d) -1
• The parabola x^2 = 4ay, a < 0 opens:  a) Right side b) Upward c) Downward d) Left side
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• The line joining the centre of a circle to the midpoint of a chord is ___ to the chord: a) Perpendicular b) Parallel c) Bisector d) Tangent
• If a function f is increasing within ]a, b[ ,then slope of tangent to its graph within ]a, b[remains (a) Positive (b) Negative (c) Zero (d) Undefined
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• If a function f is decreasing within ]a, b[ ,then slope of tangent to its graph within ]a, b[remains (b) Positive (b)  Negative (c) Zero (d) Undefined
• A point where 1st derivative of function is zero , is called (a) Stationary point (b) corner point (c) point of concurrency (d) common point
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• At x = 0 , the function f(𝒙) = 1 − x^3 has (a) Maximum value (b) minimum value (c) point of inflexion (d) no conclusion 
•  A function f is neither increasing nor decreasing at a point , provided that f′ (x) = 0 at that point , then it is called: (a) Critical point (b)  stationary point (c) maximum point (d) minimum point
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•  If f′ (x) = 0,  f′′(x) ≤ 0 at a point P, then P is called (a) Relative maxima (b) relative minima (c) point of inflexion (d)  None of these
• If f be a real valued function , continuous in interval ]x, x1[∈ Df and if limit→𝒙 f(x1)−f(x) x1−x exists, then the quotient is called (a) Derivative of 𝑓 (b) Differential of 𝑓 (c)  Average rate of change of 𝑓 (d) Actual change of f
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•  A function f(x) is such that , at a point x = c , f′ (x) > 0 at x = c , then f is said to be (a) Increasing (b) decreasing (c) constant (d) 1-1 function
• f(x) = sinx is (a) Linear function (b)  odd function (c) even function (d) identity function 
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• A function f(x) is such that , at a point x = c , f′ (x) < 0 at x = c , then f is said to be (a) Increasing (b)  decreasing (c) constant (d) 1-1 function (b) A function f(x) is such that , at a point x = c , f ′ (𝒙) = 0 at x = c , then f is said to be (a) Increasing (b) decreasing (c)  constant (d) 1-1 function
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• A stationary point is called ___if it is either a maximum point or a minimum point (a) Stationary point (b)  turning point (c) critical point (d) point of inflexion
• If f′ (c) = 0 or f ′ (c) is undefined , then the number c is called critical value and the corresponding point is called___: (a) Stationary point (b) turning point (c)  critical point (d) point of inflexion
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• If f ′ (c) does not change before and after x = c , then this point is called__: (a) Stationary point (b) turning point (c) critical point (d)  point of inflexion