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Continuity and Differentiability — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSContinuity and Differentiability1 Mark
Question
If $a x^2+2 h x y+b y^2=1$, then $\frac{d y}{d x}$ equals
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Answer

(d) : Given, $a x^2+2 h x y+b y^2=1$
Differentiating w.r.t. $x$, we get
$
2 a x+2 h\left(x \frac{d y}{d x}+y\right)+2 b y \frac{d y}{d x}=0 \Rightarrow \frac{d y}{d x}=-\left(\frac{a x+h y}{h x+b y}\right)
$

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