[{"id":241767,"question":"","questionImage":"241767_637758692738598992-RQ.png","choices":[{"text":"cosec x + c","value":"A"},{"text":"-cosec x + c","value":"B"},{"text":"cot x + c","value":"C"},{"text":"- cot x + c","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241766,"question":"","questionImage":"241766_637758692311012403-RQ.png","choices":[{"text":"cot x","value":"A"},{"text":"- cot x","value":"B"},{"text":"cosec x cot x","value":"C"},{"text":"-cosec x cot x","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241765,"question":"","questionImage":"241765_637758691812605852-RQ.png","choices":[{"text":"tan x + c","value":"A"},{"text":"-tan x + c","value":"B"},{"text":"sec x + c","value":"C"},{"text":"-sec x + c","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241764,"question":"","questionImage":"241764_637758691434220907-RQ.png","choices":[{"text":"cos x + c","value":"A"},{"text":"- cos x + c","value":"B"},{"text":"sin x + c","value":"C"},{"text":"-sin x + c","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241763,"question":"","questionImage":"241763_637758690902851229-RQ.png","choices":[{"text":"tan x + c","value":"A"},{"text":"- tan x + c","value":"B"},{"text":"sec x tan x + c","value":"C"},{"text":"- sec x tan x + c","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241762,"question":"","questionImage":"241762_637758690188987292-RQ.png","choices":[{"text":"Integral","value":"A"},{"text":"Indefinite integral","value":"B"},{"text":"Differential","value":"C"},{"text":"Definite integral","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241761,"question":"","questionImage":"241761_637758689146456381-RQ.png","choices":[{"text":"Integration","value":"A"},{"text":"Integrand","value":"B"},{"text":"Constant of integration","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241760,"question":"An integral of 3x<sup>2</sup> is:","choices":[{"text":"x<sup>3</sup>+c","value":"A"},{"text":"3","value":"B"},{"text":"6x","value":"C"},{"text":"x<sup>2+c</sup>","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241759,"question":"","questionImage":"241759_637758687986490707-RQ.png","choices":[{"text":"Integration","value":"A"},{"text":"Integration w.r.t.x.","value":"B"},{"text":"Differentiation","value":"C"},{"text":"Differentiation w.r.t.x","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241758,"question":"","questionImage":"241758_637758687405620675-RQ.png","choices":[{"text":"Derivative","value":"A"},{"text":"Differential","value":"B"},{"text":"Integral","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241757,"question":"","questionImage":"241757_637758686830754327-RQ.png","choices":[{"text":"Integration","value":"A"},{"text":"Integrand","value":"B"},{"text":"Constant of integration","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241756,"question":"The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:","choices":[{"text":"Differentiation","value":"A"},{"text":"Integration","value":"B"},{"text":"Differential","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241755,"question":"The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.","choices":[{"text":"Differentiation","value":"A"},{"text":"Integration","value":"B"},{"text":"Differential","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241754,"question":"If y = sin x then dy =","choices":[{"text":"cosy dx","value":"A"},{"text":"cos x","value":"B"},{"text":"cosx dx","value":"C"},{"text":"cos xdy","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241753,"question":"If y = x<sup>2</sup> + 1 _______________ x changes from 3 to 3.02 then dy = __________","choices":[{"text":"0.1204","value":"A"},{"text":".12","value":"B"},{"text":".02","value":"C"},{"text":"1.2","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241752,"question":"","questionImage":"241752_637758683921950614-RQ.png","choices":[{"text":"equal to each other","value":"A"},{"text":"not equal to each","value":"B"},{"text":"nearly equal to each other","value":"C"},{"text":"none of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241751,"question":"","questionImage":"241751_637758683335649416-RQ.png","choices":[{"text":"equal to each other","value":"A"},{"text":"not equal to each other","value":"B"},{"text":"nearly equal to each other","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241750,"question":"The function f(x) = 3x<sup>2</sup> has minimum value at :","choices":[{"text":"x = 3","value":"A"},{"text":"x = 2","value":"B"},{"text":"x = 1","value":"C"},{"text":"x = 0","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241749,"question":"The Maclaurin series expansion is valid only if it is:","choices":[{"text":"Convergent","value":"A"},{"text":"Divergent","value":"B"},{"text":"Increasing","value":"C"},{"text":"Decreasing","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241748,"question":"","questionImage":"241748_637758674812884779-RQ.png","choices":[{"text":"tan x","value":"A"},{"text":"cot x","value":"B"},{"text":"- tan x","value":"C"},{"text":"- cot x","value":"D"},{"value":"E"}],"correctAnswer":2}]