k'$ can take is given by :","description":"Practice this DASH question: Let A $\\left( {h,k} \\right)$, B$\\left( {1,1} \\right)$ and C $(2, 1)$ be the vertices of a right angled triangle with AC as its hyp. Tag details: AIEEE: DASH practice topic connected to this question, quiz, and solution; JEE Mains: JEE Main practice topic for engineering entrance preparation; KCET: KCET exam practice question for Karnataka entrance preparation; NCERT: NCERT-aligned concept practice and.","url":"https://learnwithdash.ai/portal/question/790472/","keywords":"AIEEE, JEE Mains, KCET, NCERT, Straight Lines, Area of a Triangle, Distance Between Two Points, Class 11 Mathematics, Class 12 Mathematics, JEE Main Mathematics, Physics, Chemistry, Mathematics","about":[{"@type":"Thing","name":"AIEEE","description":"AIEEE: DASH practice topic connected to this question, quiz, and solution"},{"@type":"Thing","name":"JEE Mains","description":"JEE Mains: JEE Main practice topic for engineering entrance preparation"},{"@type":"Thing","name":"KCET","description":"KCET: KCET exam practice question for Karnataka entrance preparation"},{"@type":"Thing","name":"NCERT","description":"NCERT: NCERT-aligned concept practice and textbook-based preparation"},{"@type":"Thing","name":"Straight Lines","description":"Straight Lines: DASH practice topic connected to this question, quiz, and solution"},{"@type":"Thing","name":"Area of a Triangle","description":"Area of a Triangle: DASH practice topic connected to this question, quiz, and solution"},{"@type":"Thing","name":"Distance Between Two Points","description":"Distance Between Two Points: DASH practice topic connected to this question, quiz, and solution"},{"@type":"Thing","name":"Class 11 Mathematics","description":"Class 11 Mathematics: Class 11 syllabus topic for board and competitive exam practice"},{"@type":"Thing","name":"Class 12 Mathematics","description":"Class 12 Mathematics: Class 12 syllabus topic for board and competitive exam practice"},{"@type":"Thing","name":"JEE Main Mathematics","description":"JEE Main Mathematics: JEE Main practice topic for engineering entrance preparation"},{"@type":"Thing","name":"Physics","description":"Physics: Physics concept practice with question and solution review"},{"@type":"Thing","name":"Chemistry","description":"Chemistry: Chemistry concept practice with question and solution review"},{"@type":"Thing","name":"Mathematics","description":"Mathematics: Mathematics concept practice with question and solution review"}]}
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Question
Let A $\left( {h,k} \right)$, B$\left( {1,1} \right)$ and C $(2, 1)$ be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is $1$ square unit, then the set of values which $'k'$ can take is given by :
$\left\{ { - 1,3} \right\}$
$\left\{ { - 3, - 2} \right\}$
$\left\{ { 1,3} \right\}$
$\left\{ {0,2} \right\}$

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