Class 12 MCQ Maths

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• The function l(x) = x is called : (a) A linear function (b) ✔ An identity function (c) A quadratic function (d) A cubic function
• If y is expressed in terms of a variable 𝒙 as 𝒚 = 𝒇(𝒙), then y is called : (a) ✔An explicit function (b) An implicit function (c) A linear function (d) An identity function
• 𝑪𝒐𝒔𝒉 𝟐𝒙 − 𝑺𝒊𝒏𝒉 𝟐𝒙 = (a) -1 (b) 0 (c) ✔1 (d) None of these
• 𝒄𝒐𝒔𝒆𝒄𝒉𝒙 is equal to (a) 2 𝑒 𝑥+𝑒−𝑥 (b) 1 𝑒 𝑥−𝑒−𝑥 (c) ✔ 2 𝑒 𝑥−𝑒−𝑥 (d) 2 𝑒−𝑥+𝑒 𝑥
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• 𝐥𝐢𝐦𝒙→𝒂 𝒙 𝟑−𝒂 𝟑 𝒙−𝒂 = (a) Undefined (b) ✔ 3𝑎 2 (c) 𝑎 2 (d) 0
• 𝐥𝐢𝐦𝒙→𝟎 (𝟏 + 𝒙) 𝟏 𝒙 = (a) 1 𝑒 (b) ✔ 𝑒 (c) 𝑒 2 (d) Undefined
• The notation 𝒚 = 𝒇(𝒙) was invented by (a) Lebnitz (b) ✔ Euler (c) Newton (d) Lagrange
• If 𝒇(𝒙) = 𝒙 𝟐 − 𝟐𝒙 + 𝟏 , then 𝒇(𝟎) = (a) -1 (b) 0 (c) ✔ 1 (d) 2
• When we say that 𝒇 is function from set 𝑿 to set 𝒀, then 𝑿 is called (a) ✔Domain of 𝑓 (b) Range of 𝑓 (c) Codomain of 𝑓 (d) None of these.
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• The term “Function” was recognized by__ to describe the dependence of one quantity to another. (a) ✔Lebnitz (b) Euler (c) Newton (d) Lagrange
• If 𝒇(𝒙) = 𝒙 𝟐 then the range of 𝒇 is (a) ✔ [0,∞) (b) (-∞, 0] (c) (0, ∞) (d) None of these
• If 𝒇(𝒙) = 𝒙 𝒙 𝟐−𝟒 then domain of 𝒇 is (a) 𝑅 (b) 𝑅 − {0} (c) ✔ 𝑅 − {±2} (d) 𝑄
• If a graph express a function , then a vertical line must cut the graph at (a) ✔One point only (b) Two points (c) More than one point(d) No point
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• If 𝒇(𝒙) = { 𝒙 , 𝒘𝒉𝒆𝒏𝟎 ≤ 𝒙 ≤ 𝟏 𝒙 − 𝟏 , 𝒘𝒉𝒆𝒏 𝟏 < 𝑥 ≤ 2 , then domain of 𝒇 (a) ✔ [0,2] (b) (0,2) (c) [1,2] (d) all real numbers
• The graph of linear equation is always a (a) ✔Straight line (b) parabola (c) circle (d) cube
• The domain and range of identity function , 𝑰:𝑿 → 𝑿 is (a) ✔𝑋 (b) +iv real numbers (c) –iv real numbers (d) integers
• The linear function 𝒇(𝒙) = 𝒂𝒙 + 𝒃 is identity function if (a) 𝑎 ≠ 0, 𝑏 = 1 (b) 𝑎 = 1, 𝑏 = 0 (c) 𝑎 = 1, 𝑏 = 1 (d) 𝑎 = 0 18. The linear function 𝒇(𝒙) = 𝒂𝒙 + 𝒃 is constant function if 𝑎 ≠ 0, 𝑏 = 1 (b) 𝑎 = 1, 𝑏 = 0 (c) 𝑎 = 1, 𝑏 = 1 (d) ✔ 𝑎 = 0
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• If y = 𝒄𝒐𝒔𝒙 , domain = R then range is (a) ]-1,1[ (b) ✔ [-1,1] (c) 𝑅-[-1,1] (d) 𝑅 −]-1,1[
• If y = tanx, domain = {x|x ∈ R, x ≠ (𝟐n + 1) 𝝅 2 , n integer} then range is (a) ]-1,1[ (b) [-1,1[ (c) 𝑅-[-1,1] (d) ✔ all real numbers
• If y = secx , domain = {x|x ∈ R, x ≠ (𝟐n + 1) 𝝅 2 , n integer} then range is (a) ]-1,1[ (b) [-1,1[ (c) 𝑅-[-1,1] (d) ✔ 𝑅 −]-1,1[
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• If y = cotx , domain = {x|x ∈ R, x = n𝝅 ,n integer} then range is (a) 𝑦 ≥ 1, 𝑦 ≤ −1 (b) 𝑦 ≤ 1, 𝑦 ≥ −1 (c) 𝑦 < 1, 𝑦 > −1 (d) ✔ all real numbers 
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