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:T492,{"@context":"https://schema.org","@type":"Quiz","name":"Viteee 2024 Circle PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/viteee/questions/2024/mathematics/circle/m9bd51kb","educationalLevel":"Entrance exam preparation","about":"Viteee / Mathematics / Circle","hasPart":{"@type":"Question","name":"Viteee 2024 Circle PYQ with Solution","text":"If the tangent at the point P on the circle x^2+y^2+2 x+2 y=7 meets the straight line 3 x-4 y=15 at the point Q on the X-axis, then length of P Q is","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"C"},"comment":{"@type":"Comment","text":"Given that point Q is on the X -axis, we can determine its coordinates: Assume Q = (h, 0) . Since Q lies on the line given by the equation 3x - 4y = 15 , substitute the y -coordinate of Q (which is 0) into this equation: 3h - 4 \\times 0 = 15 \\Rightarrow 3h = 15 \\Rightarrow h = 5 Therefore, the coordinates of Q are (5, 0) . Next, to find the length of PQ , we use properties of tangents to the circle: For the circle with equation x^2 + y^2 + 2x + 2y = 7 , we need to find the length of the tangent..."}}}18:T4b8,

Given that point $ Q $ is on the $ X $-axis, we can determine its coordinates:

Assume $ Q = (h, 0) $.

Since $ Q $ lies on the line given by the equation $ 3x - 4y = 15 $, substitute the $ y $-coordinate of $ Q $ (which is 0) into this equation:

$ 3h - 4 \times 0 = 15 \Rightarrow 3h = 15 \Rightarrow h = 5 $

Therefo

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