TS EAMCET · Maths · Application of Derivatives
The lengths of tangent, subtangent, normal and subnormal for the curve \(y=x^2+x-1\) at \((1,1)\) are \(A, B, C\) and \(D\) respectively, then their increasing order is
- A \(B, D, A, C\)
- B \(B, A, C, D\)
- C \(A, B, C, D\)
- D \(B, A, D, C\)
Answer & Solution
Correct Answer
(D) \(B, A, D, C\)
Step-by-step Solution
Detailed explanation
Given circle is \(y=x^2+x-1\) and point \(\begin{aligned} & \left(x_1, y_1\right)=(1,1) \\ & \therefore \frac{d y}{d x}=2 x+1\end{aligned}\) At \((1,1), \quad \frac{d y}{d x}=3=m\) Now, length of tangent…
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