16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T4c6,{"@context":"https://schema.org","@type":"Quiz","name":"Ap Eapcet 2024 Circle PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/ap-eapcet/questions/2024/mathematics/circle/m9yad4qf","educationalLevel":"Entrance exam preparation","about":"Ap Eapcet / Mathematics / Circle","hasPart":{"@type":"Question","name":"Ap Eapcet 2024 Circle PYQ with Solution","text":"If the axes are rotated through angle ' \\alpha ', then the number of values of a such that the transformed equation of x^2+y^2+2 x+2 y-5=0 contains no liner terms is","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"A"},"comment":{"@type":"Comment","text":"The given equation is: x^2 + y^2 + 2x + 2y - 5 = 0 We need to consider the transformation when the axes are rotated by an angle \\alpha. The equations for the transformed coordinates are: x = X \\cos \\alpha - Y \\sin \\alpha y = X \\sin \\alpha + Y \\cos \\alpha Substituting these into the given equation, we get: (X \\cos \\alpha - Y \\sin \\alpha)^2 + (X \\sin \\alpha + Y \\cos \\alpha)^2 + 2(X \\cos \\alpha - Y \\sin \\alpha) + 2(X \\sin \\alpha + Y \\cos \\alpha) - 5 = 0 Expanding and simplifying, the equation beco..."}}}18:T4dc,

The given equation is:

$$ x^2 + y^2 + 2x + 2y - 5 = 0 $$

We need to consider the transformation when the axes are rotated by an angle $\alpha$. The equations for the transformed coordinates are:

$$ x = X \cos \alpha - Y \sin \alpha $$

$$ y = X \sin \alpha + Y \cos \alpha $$

Subst

Circle

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