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______.","choices":[{"text":"∏/3","value":"A"},{"text":"-∏/6","value":"B"},{"text":"-∏/3","value":"C"},{"text":"∏/6","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19827,"question":"If Cosθ =0, Then θ=","choices":[{"text":"nπ/2","value":"A"},{"text":"(2n + 1)π/2","value":"B"},{"text":"(2n - 1)π/2","value":"C"},{"text":"(n ±1)π/2","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19826,"question":"In the figure angle A is =","choices":[{"text":"15","value":"A"},{"text":"60","value":"B"},{"text":"90","value":"C"},{"text":"20","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19825,"question":"If you looking a high point from the ground then the angle formed is","choices":[{"text":"Angle of elevation","value":"A"},{"text":"Angle of depression","value":"B"},{"text":"Right angle","value":"C"},{"text":"Horizon","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19824,"question":"Area of ΔABC=","choices":[{"text":"ab sin&nbsp;α","value":"A"},{"text":"1/2 ab 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are","choices":[{"text":"Associative angles","value":"A"},{"text":"Complementary angles","value":"B"},{"text":"Reflex angles","value":"C"},{"text":"Supplementary angles","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":19819,"question":"Cos<sup>-1</sup> (-x) =_______.","choices":[{"text":"π +cos<sup>-1</sup>&nbsp;x","value":"A"},{"text":"π -sin<sup>-1</sup>&nbsp;x","value":"B"},{"text":"π +sin<sup>-1</sup>&nbsp;x","value":"C"},{"text":"π -cos<sup>-1</sup>&nbsp;x","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":19818,"question":"Which of the following is not defined?","choices":[{"text":"Arcsin 1/9","value":"A"},{"text":"ArcCos (-4/3)","value":"B"},{"text":"Arctan 11/12","value":"C"},{"text":"Arccot (-4)","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19817,"question":"AreCot&nbsp;√3 =?","choices":[{"text":"π/2","value":"A"},{"text":"π","value":"B"},{"text":"2π","value":"C"},{"text":"π/6","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":19816,"question":"Sin-1 (√2/2)=?","choices":[{"text":"π/2","value":"A"},{"text":"π/3","value":"B"},{"text":"3π/4","value":"C"},{"text":"2π","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":19815,"question":"Sin<sup>-1</sup>&nbsp;√3/2 =?","choices":[{"text":"2π/3","value":"A"},{"text":"π/2","value":"B"},{"text":"π/3","value":"C"},{"text":"v/5","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":19814,"question":"Tan (π + Tan<sup>-1</sup> x) =?","choices":[{"text":"Tan x","value":"A"},{"text":"X","value":"B"},{"text":"-x","value":"C"},{"text":"Cot<sup>-1</sup> x","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19813,"question":"Sin<sup>-1</sup> x =?","choices":[{"text":"π/2- Sin<sup>-1</sup> x","value":"A"},{"text":"π/2 -Cos<sup>-1</sup> x","value":"B"},{"text":"-Sin<sup>-1</sup> x","value":"C"},{"text":"-Cos<sup>-1</sup> x","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19812,"question":"Sin<sup>-1</sup> (-x) =?","choices":[{"text":"Sin<sup>-1</sup> x","value":"A"},{"text":"-Sin<sup>-1</sup> x","value":"B"},{"text":"Cos<sup>-1</sup> x","value":"C"},{"text":"-Cos<sup>-1</sup> x","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19811,"question":"Period of Sin 2x =","choices":[{"text":"π","value":"A"},{"text":"4π","value":"B"},{"text":"2nπ","value":"C"},{"text":"2π","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19810,"question":"What is the period of Cot x?","choices":[{"text":"2π","value":"A"},{"text":"π","value":"B"},{"text":"π/2","value":"C"},{"text":"4π","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19809,"question":"What is the domain of y = Cot<sup>-1</sup> x?","choices":[{"text":"Set of irrational numbers only","value":"A"},{"text":"Set of all real numbers","value":"B"},{"text":"Set of integers only","value":"C"},{"text":"Set of complex numbers only","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19808,"question":"What is the domain of y= Sin<sup>-1</sup>&nbsp;x?","choices":[{"text":"-1&nbsp;≤ x&nbsp;≤1","value":"A"},{"text":"1&nbsp;≤ x&nbsp;≤ 1","value":"B"},{"text":"0&nbsp;≤ x&nbsp;≤&nbsp;π","value":"C"},{"text":"-π/2&nbsp;≤ x&nbsp;≤ π/2","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19807,"question":"If A = (3,8) and B = (5,6) then the distance between A and B is<br>","choices":[{"text":"2√2","value":"A"},{"text":"2","value":"B"},{"text":"1","value":"C"},{"text":"6","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19806,"question":"Sin x + Cos x=1 x=","choices":[{"text":"π","value":"A"},{"text":"π/2","value":"B"},{"text":"π/3","value":"C"},{"text":"π/4","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19805,"question":"If Sin&nbsp;θ =Cosθ then&nbsp;θ=","choices":[{"text":"30°","value":"A"},{"text":"45°","value":"B"},{"text":"60°","value":"C"},{"text":"90°","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19804,"question":"Cos 315° =","choices":[{"text":"0.707","value":"A"},{"text":"0.5","value":"B"},{"text":"1","value":"C"},{"text":"0","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19803,"question":"Period is Tan x/5 is","choices":[{"text":"5π","value":"A"},{"text":"4π","value":"B"},{"text":"2π","value":"C"},{"text":"π/5","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19802,"question":"Sin(a + b) + Sin(a- b) =","choices":[{"text":"Sin a Cos b","value":"A"},{"text":"Sin a Sin b","value":"B"},{"text":"Sin a + Cos b","value":"C"},{"text":"Sin a - 2Cos b","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19801,"question":"The value of Cos (1/2 Cos<sup>-1</sup> 1/2) is equal to","choices":[{"text":"√3/2","value":"A"},{"text":"-3/4","value":"B"},{"text":"1/16","value":"C"},{"text":"1/4","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19800,"question":"If 2 Sin x Cos 2 x = Sin x then?","choices":[{"text":"X = nπ+&nbsp;π/6","value":"A"},{"text":"X = nπ +π/3","value":"B"},{"text":"X = nπ +1","value":"C"},{"text":"X = nπ +&nbsp;π/2","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19799,"question":"If Cosα = 3/5, Cosβ = 5/13, then","choices":[{"text":"Cos(α +β) =33/65","value":"A"},{"text":"Sin(α +β) =56/65","value":"B"},{"text":"sin<sup>2</sup>(α +β/2) =1/65","value":"C"},{"text":"Cos(α +β) =63/65","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19798,"question":"In the triangle Δ&nbsp;ABC, where C is the right angle Tan A + Tan B=","choices":[{"text":"A +B","value":"A"},{"text":"C<sup>2</sup>&nbsp;/AB","value":"B"},{"text":"A<sup>2</sup>/BC","value":"C"},{"text":"B<sup>2</sup>/AC","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19797,"question":"Sin (2π -θ) =______.","choices":[{"text":"Cosθ","value":"A"},{"text":"-Sinθ","value":"B"},{"text":"-Sinθ","value":"C"},{"text":"-cosθ","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19796,"question":"Cot 360° =______.","choices":[{"text":"Undefined","value":"A"},{"text":"0.707","value":"B"},{"text":"-0.5","value":"C"},{"text":"0","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19795,"question":"Sin 720° = ________","choices":[{"text":"1","value":"A"},{"text":"0","value":"B"},{"text":"2","value":"C"},{"text":"1/2","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19794,"question":"If sinθ = 1 then θ&nbsp;=","choices":[{"text":"2nπ +π/2","value":"A"},{"text":"2nπ","value":"B"},{"text":"2π +n","value":"C"},{"text":"Nπ +π/2","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19793,"question":"If a rectangle has an area 81x<sup>2</sup> and length of 27x. then what is its width?","choices":[{"text":"3x","value":"A"},{"text":"9x","value":"B"},{"text":"3x<sup>2</sup>","value":"C"},{"text":"9x<sup>2</sup>","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19792,"question":"Cse&nbsp;π/3","choices":[{"text":"2","value":"A"},{"text":"1","value":"B"},{"text":"0","value":"C"},{"text":"2/√3","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":19791,"question":"In 30,60,90 triangle if the smallest side is 6 than the side opposite to the angle of 60<sup>o</sup> is","choices":[{"text":"12","value":"A"},{"text":"3","value":"B"},{"text":"6√3","value":"C"},{"text":"6","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":19790,"question":"Domain of Cosecθ is","choices":[{"text":"is R but&nbsp;θ= nπ","value":"A"},{"text":"is R but&nbsp;θ ≠ nπ","value":"B"},{"text":"is R but&nbsp;θ ≠ 2nπ","value":"C"},{"text":"is R but&nbsp;θ ≠ nπ/2","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19789,"question":"If 0 is not an integral multiple of π/2 then Cot<sup>4</sup>&nbsp;θ+ Cot<sup>2</sup>&nbsp;θ=?","choices":[{"text":"Cosec<sup>4</sup>&nbsp;θ -Cosec<sup>2&nbsp;</sup>θ","value":"A"},{"text":"Tan&nbsp;θ - Tan<sup>2</sup>&nbsp;θ","value":"B"},{"text":"Cosec<sup>2</sup>&nbsp;θ + Cosec&nbsp;θ","value":"C"},{"text":"Sinθ Cosθ","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19788,"question":"If in isosceles right angled triangle one side is a then hypotenuse is","choices":[{"text":"a√2","value":"A"},{"text":"a/2","value":"B"},{"text":"a","value":"C"},{"text":"Cannot be determined by given","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19787,"question":"An angle 0 is such that tan&nbsp;θ = 1 and cos&nbsp;θ is negative then","choices":[{"text":"Sin&nbsp;θ is positive","value":"A"},{"text":"Cos&nbsp;θ = √2/4","value":"B"},{"text":"cosθ = -1","value":"C"},{"text":"sec&nbsp;θ is negative","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":19786,"question":"If sin θ= 3/5 Cos 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in a bag of a ball is drawn from the bag randomly what is the probability that a Blue ball comes out?","choices":[{"text":"1","value":"A"},{"text":"0.5","value":"B"},{"text":"0","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":19781,"question":"There are 30 Red, 20 Green and some Blue bells in a bag if the probability of finding a Red ball is 1/3,how many are red balls in the bag","choices":[{"text":"120","value":"A"},{"text":"20","value":"B"},{"text":"40","value":"C"},{"text":"90","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":19780,"question":"Given eight points in a plane no three of which are collinear how many lines do the points determine?","choices":[{"text":"16","value":"A"},{"text":"64","value":"B"},{"text":"28","value":"C"},{"text":"36","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":19779,"question":"How many different arrangements of the letters in the word QABABA are Possible?","choices":[{"text":"720","value":"A"},{"text":"40","value":"B"},{"text":"60","value":"C"},{"text":"30","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":19778,"question":"Corola available in 5 models 8 colours and 3 sizes how many Corola must a local dealer have no hand in order to have one of each kind avialable?","choices":[{"text":"24","value":"A"},{"text":"120","value":"B"},{"text":"16","value":"C"},{"text":"39","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":19777,"question":"How many elements are in the sample space of two rolling dies","choices":[{"text":"6","value":"A"},{"text":"12","value":"B"},{"text":"18","value":"C"},{"text":"36","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":19776,"question":"A standard deck of 52 cards shuffled what is the probability of choosing the queen of the diamonds","choices":[{"text":"1/5","value":"A"},{"text":"1/13","value":"B"},{"text":"5/52","value":"C"},{"text":"1/52","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":19775,"question":"If P(E) is the probability that can event will occur then P(E)=","choices":[{"text":"1","value":"A"},{"text":"0.5","value":"B"},{"text":"2","value":"C"},{"text":"0","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":19774,"question":"The number of ways in which 5 distinct toys can be distributed among 3 children is","choices":[{"text":"3<sup>5</sup>","value":"A"},{"text":"5<sup>3</sup>","value":"B"},{"text":"C<sup>5</sup><sub>3</sub>","value":"C"},{"text":"P<sup>5</sup><sub>3</sub>","value":"D"},{"value":"E"}],"correctAnswer":3}]