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:T479,{"@context":"https://schema.org","@type":"Quiz","name":"Ap Eapcet 2024 Hyperbola PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/ap-eapcet/questions/2024/mathematics/hyperbola/m8vbdy64","educationalLevel":"Entrance exam preparation","about":"Ap Eapcet / Mathematics / Hyperbola","hasPart":{"@type":"Question","name":"Ap Eapcet 2024 Hyperbola PYQ with Solution","text":"The equation of one of the tangents drawn from the point (0,1) to the hyperbola 45 x^2-4 y^2=5 is","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"D"},"comment":{"@type":"Comment","text":"The equation of one of the tangent drawn from the point (0,1) to the hyperbola 45 x^2-4 y^2=5. We can use the fact that the equation of the tangent to a hyperbola. A x^2+B y^2=C at point \\left(x_1, y_1\\right) is given A x_1 x+B y_1 y=C Here, A=45, B=-4, C=5 Let \\left(x_1, y_1\\right) be the point of tangency, the equation of the tangent line is 45 x_1 x-4 y_1 y=5 The line must, also pass through the point ( 0,1 ) substituting ( x=0 ) and ( y=1 ) into the tangent equation gives \\begin{aligned} 45..."}}}18:T579,

The equation of one of the tangent drawn from the point $(0,1)$ to the hyperbola $45 x^2-4 y^2=5$.

We can use the fact that the equation of the tangent to a hyperbola.

$A x^2+B y^2=C$ at point $\left(x_1, y_1\right)$ is given

$A x_1 x+B y_1 y=C$

Here, $A=45, B=-4, C=5$

Let $\left(x_1, y_1\right)$ be the point of tangency, the equation of the tangent line

Hyperbola

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