TS EAMCET · Maths · Differential Equations
If the length of the sub tangent at any point \(p(x, y)\) on a curve \(f(x, y)=0\) is \(x+7 y^2\), then \(f(x, y)=\)
- A \(x y+c y-7 x\)
- B \(\frac{x}{y}+7 x-c\)
- C \(7 y^2+c y-x\)
- D \(7 x y+c y-x\)
Answer & Solution
Correct Answer
(C) \(7 y^2+c y-x\)
Step-by-step Solution
Detailed explanation
(c) We know that, Length of subtangent \(=\frac{y}{\frac{d y}{d x}} \Rightarrow x+7 y^2=\frac{y}{\frac{d y}{d x}}\)…
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