// Numbas version: exam_results_page_options {"name": "Set Soal Matematika IIA - Bab 10 dan 11", "metadata": {"description": "", "licence": "None specified"}, "duration": 2700, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "PG + Isian", "pickingStrategy": "all-shuffled", "pickQuestions": 1, "questionNames": ["", "", "", ""], "questions": [{"name": "Mat 2A dan 2C - Bab 10 dan 11 - No 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Pilihlah seluruh pernyataan yang tepat terkait irisan kerucut.

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Tentukan seluruh pasangan vektor yang saling tegak lurus untuk setiap $x\\in \\mathbb{R}$.

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Luas daerah pada kuadran kedua yang dibatasi oleh kurva $x(t)=t^2-\\var{a}t$, $y(t)=\\sqrt{t}$, dan sumbu-$y$ adalah $\\ldots$.

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Garis yang melalui titik $(\\var{a},\\var{b},\\var{c})$, sejajar dengan bidang $x+y+z=\\var{a}$, dan tegak lurus dengan garis $x(t)=\\var{c}+t$, $y(t)=\\var{b}-t$, $z(t)=2t+\\var{a}$ mempunyai vektor arah $\\mathbf{v}=\\left\\langle a,1,b \\right\\rangle$ dengan $a+b=\\ldots$.

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Misal $\\ell$ adalah kurva yang terbentuk dari perpotongan dua buah tabung $x^2+y^2=25$ dan $y^2+z^2=20$ pada oktan pertama.

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Kurva $\\ell$ dapat dituliskan dalam bentuk berparameter $x(t)=a\\cos(t)$, $y(t)=b\\sin(t)$, $z(t)=\\sqrt{c+d\\sin^2(t)}$ dengan $a+b+c+d=\\ldots$.

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Pada parametrisasi sebelumnya, titik $(3,4,2)$ berada pada $t$ dengan $\\sin(2t)=\\ldots$.

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Persamaan garis singgung kurva $\\ell$ pada titik $(3,4,2)$ adalah $x(t)=3+at$, $y(t)=4+bt$, dan $z(t)=2+ct$ dengan nilai $a$, $b$, dan $c$ berturut-turut adalah $\\ldots$.

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Waktunya 5 menit lagi ya.

"}}, "feedback": {"showactualmark": false, "showtotalmark": false, "showanswerstate": false, "allowrevealanswer": false, "advicethreshold": 0, "intro": "

Selamat datang!

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Silakan gunakan set soal ini dengan bijak. Kalian bisa mencoba set soal ini terus-menerus.

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Set soal ini dapat digunakan oleh siapapun secara gratis.

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Petunjuk pengerjaan soal:

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Jika ada kunci jawaban yang salah, kalian dapat memberitahu kami di Instagram @meongmeongproject atau OA Line @eog7710d.

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