[{"id":12403,"question":"Domain of cosh x is","choices":[{"text":"R","value":"A"},{"text":"R -{0}","value":"B"},{"text":"[1,∞)","value":"C"},{"text":"[0,∞)","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":12402,"question":"The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)","choices":[{"text":"I & III","value":"A"},{"text":"I & IV","value":"B"},{"text":"II & IV","value":"C"},{"text":"II & III","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":12401,"question":"The curve f(x,y) = 0 has a central symmetry if","choices":[{"text":"f(-x,-y)=f(x,y)","value":"A"},{"text":"f(x,-y)=f(x,y)","value":"B"},{"text":"f(-x,y)=f(x,y)","value":"C"},{"text":"f(-x,-y)≠f(x,y)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12400,"question":"The only function which is both even and odd is","choices":[{"text":"f(x) =α","value":"A"},{"text":"f(x) = x","value":"B"},{"text":"f(x) =0","value":"C"},{"text":"Both A & B","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":12399,"question":"The range of the function f : x→ y is defined by","choices":[{"text":"{x| y = f (x) ∀x∈ X ∧y∈y}","value":"A"},{"text":"{(x,y) |y = f (x)∀x∈ X}","value":"B"},{"text":"{y|y = f (x) ∀x∈ X ∧y∈y}","value":"C"},{"text":"Y","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12398,"question":"An even function is symmetric about the line","choices":[{"text":"y = x","value":"A"},{"text":"x = 0","value":"B"},{"text":"y = -x","value":"C"},{"text":"y = 0","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12397,"question":"If a tangent line touches the function y = f (x) in more than one point then y = f (x) is","choices":[{"text":"Periodic","value":"A"},{"text":"Surjective","value":"B"},{"text":"Bijective","value":"C"},{"text":"Injective","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12396,"question":"Composition of functions is","choices":[{"text":"Non-commutative (fg ≠ gf)","value":"A"},{"text":"non-associative [8(fh) ≠(8f)h]","value":"B"},{"text":"Commutative (fg = gf)","value":"C"},{"text":"f of-1≠ 1","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12395,"question":"x = secθ,y = tanθ are the parametric equations of","choices":[{"text":"Circle","value":"A"},{"text":"Hyperbola","value":"B"},{"text":"Ellipse","value":"C"},{"text":"parabola","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12394,"question":"The range of y=x2 + 1 is the set of non-negative real numbers except","choices":[{"text":"0≤ y < 1","value":"A"},{"text":"0 < y < 1","value":"B"},{"text":"0≤ y≤ 1","value":"C"},{"text":"0 < y≤1","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12393,"question":"The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called","choices":[{"text":"Constant function","value":"A"},{"text":"Polynomial function","value":"B"},{"text":"Identity function","value":"C"},{"text":"Linear function","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12392,"question":"f (x) = | x | is a/an","choices":[{"text":"Injective function","value":"A"},{"text":"Bijective function","value":"B"},{"text":"Surjective function","value":"C"},{"text":"Implicit function","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":12391,"question":"Point (2,0) lies on trigonometric function f(x)=______;","choices":[{"text":"sinx","value":"A"},{"text":"cosx","value":"B"},{"text":"tanx","value":"C"},{"text":"secx","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12390,"question":"The domain of y = cos-1 x is","choices":[{"text":"-∞ < x < ∞","value":"A"},{"text":"-1≤ x≤ 1","value":"B"},{"text":"x≤ -1 or x ≥ 1","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12347,"question":"If f (x) is defined and continuous then f (x) is always","choices":[{"text":"Rational function","value":"A"},{"text":"Trigonometric function","value":"B"},{"text":"Logarithmic function","value":"C"},{"text":"All are correct","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":12346,"question":"The domain and range of a trigonometric function can be allocate by their","choices":[{"text":"graph","value":"A"},{"text":"Continuity","value":"B"},{"text":"Discontinuity","value":"C"},{"text":"Periods","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12345,"question":"The trigonometric function are continuous whenever","choices":[{"text":"They are defined","value":"A"},{"text":"their limit exist","value":"B"},{"text":"Their period is given","value":"C"},{"text":"All are incorrect","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12344,"question":"The behavior of trigonometric function is called","choices":[{"text":"Continuity","value":"A"},{"text":"Discontinuity","value":"B"},{"text":"Periodicity","value":"C"},{"text":"Smoothness","value":"D"},{"value":"E"}],"correctAnswer":3}]