// Numbas version: exam_results_page_options {"name": "tangentNormalTrueFalse", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "tangentNormalTrueFalse", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "
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1111

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QUIZ ON TANGENT AND NORMAL

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Answer by selecting True or False in the following questions.

", "advice": "", "rulesets": {}, "extensions": [], "variables": {"rand": {"name": "rand", "group": "Ungrouped variables", "definition": "repeat(if(random(1..3)=2,1,0), n)\n", "description": "
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This is to get 1 and 0 with the probability distribution for a single draw as p=1/3 and q=2/3 in a Binomial distribution of order n.

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", "templateType": "anything"}, "a0": {"name": "a0", "group": "Ungrouped variables", "definition": "[\"1. The derivative of a function at a point has \n no geometrical meaning\",\n \"2. If the derivative is 0 then the function has\n no tangent at that point\",\n \"3. If the derivative is positive then the \n function is decreasing \",\n \"4. If the the tangent makes \n acute angle with x-axis then the derivative is negative\",\n\"5. If the tangent makes obtuse angle with x-axis\n then the derivative is positive\",\n\"6. If the derivative is positive then the normal makes \n acute angle with x-axis\",\n\"7. If the derivative at \n a point is 3 then the slope of the tangent is $-3$\",\n\"8. If $y=(x-1)^2$ then the slope of the tangent at \n $(2,1)$ is $1$\",\n\"9. If $y=x^2+x+1$ then the slope of the \n tangent at $(1,3)$ is $-3$\",\n\"10. If $\\\\dfrac{dx}{dy}=5$ then \n slope of the tangent is $5$ \"]", "description": "
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This is for the false part

", "templateType": "anything"}, "b1": {"name": "b1", "group": "Ungrouped variables", "definition": "[\"1. The derivative of a function at a point \n is the slope of the tangent at that point\",\n \"2. If the derivative is 0 then the function \n may have a maximum or a minimum\",\n \"3. If the derivative is positive then \n the function is increasing\",\n \"4. If the tangent makes acute \n angle with x-axis then the derivative is positive\",\n\"5. If the tangent makes obtuse \n angle with x-axis then the derivative is negative\",\n\"6. If the derivative at a point is \n 2 then slope of the normal is $-\\\\dfrac{1}{2}$\",\n\"7. If the derivative at point is $4$\n then the slope of the tangent is $4$\",\n\"8. If $y=(x-1)^2$ then the slope \n of the tangent at $(2,1)$ is $2$\",\n\"9. If $y=x^2+x+1$ then the slope \n of the tangent at $(1,3)$ is $3$\",\n\"10. If $\\\\dfrac{dx}{dy}=4$ then \n the slope of the normal is $-4$\"]", "description": "
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This is for the true part.

", "templateType": "anything"}, "j": {"name": "j", "group": "Ungrouped variables", "definition": "map(j,j,1..n)", "description": "
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", "templateType": "anything"}, "qSet": {"name": "qSet", "group": "Ungrouped variables", "definition": "map(if(rand[j]=0,a0[j],b1[j]),j,0..n-1)", "description": "
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If rand[j]=0 false question will be set and otherwise a true question will be set.

", "templateType": "anything"}, "mark": {"name": "mark", "group": "Ungrouped variables", "definition": "matrix(if(rand[0]=1,[1,0],[0,1]),\n if(rand[1]=1,[1,0],[0,1]),\n if(rand[2]=1,[1,0],[0,1]),\n if(rand[3]=1,[1,0],[0,1]),\n if(rand[4]=1,[1,0],[0,1]),\n if(rand[5]=1,[1,0],[0,1]),\n if(rand[6]=1,[1,0],[0,1]),\n if(rand[7]=1,[1,0],[0,1]),\n if(rand[8]=1,[1,0],[0,1]),\n if(rand[9]=1,[1,0],[0,1])\n)", "description": "
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This will be a matrix with 2 rows(TRUE,FALSE) and length(qSet) number of columns.If the question is a True question out of b1 , then the first tick will carry 1 mark and the second tick will carry 0 mark.

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Similarly if the question is a False question a tick in the first entry will award 0 and a second entry will award 1

", "templateType": "anything"}, "answer": {"name": "answer", "group": "Ungrouped variables", "definition": "[\"True\",\"False\"]", "description": "
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", "templateType": "anything"}, "n": {"name": "n", "group": "Ungrouped variables", "definition": "10", "description": "
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Number of questions.

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