AP EAMCET · Maths · Application of Derivatives
Tangents are drawn to the curve \(y=\sin x\) from the origin. The locus of the points of contact is
- A \(x y=x+y\)
- B \(x^2 y^2=x^2-y^2\)
- C \(x y=x-y\)
- D \(x^2 y^2=x^2+y^2\)
Answer & Solution
Correct Answer
(B) \(x^2 y^2=x^2-y^2\)
Step-by-step Solution
Detailed explanation
Given, \(y=\sin x\) Differentiating w.r.t. \(x\), we get \(\frac{d y}{d x}=\cos x\) If tangent to \(y=\sin x\) meet at \((h, k)\) \(\left(\frac{d y}{d x}\right)_{(h, k)}=\cos h\) \(\therefore\) Equation of tangent is \(\cos h(x-h)=y-k\) Since, tangent is passing through…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The parabola \(x^2=4\) ay makes an intercept of length \(\sqrt{40}\) units on the line \(y=1+2 x\), then a value of \(4 a\) isAP EAMCET 2019 Medium
- The Locus of centers of the circles, possessing the same area and having and as their common tangent, isAP EAMCET 2022 Medium
- If \(\theta=\sec ^{-1}(\cos h u)\). then \(u=\)AP EAMCET 2024 Medium
- Let \(a\gt1\) and \(0 \lt b \lt 1\). If \(f: \mathbf{R} \rightarrow[0,1]\) is defined by
\(f(x)=\left\{\begin{array}{l}a^x,-\infty \lt x \lt 0 \\ b^x, 0 \leq x \lt \infty\end{array}\right.\) then \(f(x)\) isAP EAMCET 2024 Medium - The first negative coefficient in the terms occurring in the expansion of isAP EAMCET 2019 Medium
- If the coefficients of \(x^5\) and \(x^6\) are equal in the expansion of \(\left(a+\frac{x}{5}\right)^{65}\), then the coefficient of \(x^2\) in the expansion of \(\left(a+\frac{x}{5}\right)^4\) isAP EAMCET 2024 Easy
More PYQs from AP EAMCET
- If \(\alpha, \beta, \gamma\) are the lengths of the tangents from the vertices of a triangle to its incircle. ThenAP EAMCET 2017 Medium
- A body of mass \(10 \mathrm{~kg}\) has constant velocity of \(10 \mathrm{~m} \mathrm{~s}^{-1}\). A constant force is applied for a duration of \(4 \mathrm{~s}\) on the object and gives it a speed of \(2 \mathrm{~m} \mathrm{~s}^{-1}\) in opposite direction. Then, find acceleration produced in it.AP EAMCET 2020 Medium
- \[
f(x)= \begin{cases}(1+3 x)^{\frac{4}{x},} & \text { if } x \neq 0, \\ a, & \text { if } x=0 .\end{cases}
\]
If \(f\) is continuous, then \(\log a=\)AP EAMCET 2018 Easy - Identify the correct statements about the anomalous behaviour of Boron I. Boron trihalides can form dimeric structures. II. Boron shows as stable oxidation state III. Maximum covalency of Boron is four. IV. Boron does not form ion.AP EAMCET 2022 Easy
- Two charged particles of masses in the ratio \(1: 3\) have charges in reciprocal ratio as their masses. They are placed in a uniform electric field and allowed to move. The ratio of their kinetic energies isAP EAMCET 2018 Easy
- The maximum area of a rectangle that can be formed with a fixed perimeter of 20 units is sq unitsAP EAMCET 2021 Medium