TS EAMCET · Maths · Application of Derivatives
The equation of the normal to the curve sin \(y=\sqrt{3} x \sin \left(\frac{\pi}{6}+y\right)\) at \(x=0\), is
- A \(2 x+\sqrt{3} y=0\)
- B \(2 x+y=0\)
- C \(x+2 y=0\)
- D \(\sqrt{3} x+2 y=0\)
Answer & Solution
Correct Answer
(A) \(2 x+\sqrt{3} y=0\)
Step-by-step Solution
Detailed explanation
Given equation of curve is \(\sin y=\sqrt{3} x \sin \left(\frac{\pi}{6}+y\right)\) ...(i) at \(x=0 \Rightarrow \sin y=0\) or \(y=0\) now differentiating eq. (i) w.r.t. \(x\)…
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
- If times the area of a is thenTS EAMCET 2021 Medium
- On an average nine out of 10 ships that have departed at \(A\) reach \(B\) safely. The probability that out of five ships that have departed at \(A\) atleast four will reach \(B\) safely isTS EAMCET 2016 Medium
- If \(\frac{2+3 i}{i-2}-\frac{4 i-3}{3+4 i}=x+i y\), then \(3 x+y=\)TS EAMCET 2025 Medium
- \(\hat{i}-2 \hat{j}+\hat{k}, 2 \hat{i}+\hat{j}-\hat{k}, \hat{i}-\hat{j}-2 \hat{k}\) are the position vectors of the vertices \(A, B, C\) of a triangle \(A B C\) respectively. If \(D\) and \(E\) are the mid points of \(B C\) and \(C A\) respectively, then the unit vector along \(\overrightarrow{D E}\) isTS EAMCET 2024 Medium
- The locus of the midpoints of the portion of the tangents of the ellipse intercepted between the coordinate axes isTS EAMCET 2019 Hard
- If , thenTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- If the axes are rotated anticlockwise through an angle \(90^{\circ}\), then the equation \(x^2=4 \alpha y\) is changed to the equationTS EAMCET 2016 Easy
- Let \(f:[-1,2] \rightarrow \mathbb{R}\) be defined by \(f(x)=\left[x^2-3\right]\) where \([\cdot]\) denotes greatest integer function, then the number of points of discontinuity for the function \(f\) in \((-1,2)\) isTS EAMCET 2025 Medium
- If \(\mathbf{a} \neq \mathbf{0}, \mathbf{b} \neq \mathbf{0}, \mathbf{c} \neq 0, \mathbf{a} \times \mathbf{b}=\mathbf{0}\) and \(\mathbf{b} \times \mathbf{c}=0\), then \(\mathbf{a} \times \mathbf{c}\) is equal toTS EAMCET 2013 Easy
- Find the equation to the parabola, whose axis parallel to the \(y\)-axis and which passes through the points \((0,4),(1,9)\) and \((4,5)\) isTS EAMCET 2010 Easy
- If \(1+2 i\) is a root of the equation \(x^4-3 x^3+8 x^2-7 x+5=0\), then sum of the squares of the other roots isTS EAMCET 2025 Hard
- If \(2 x-3 y+5=0\) and \(4 x-5 y+7=0\) are the equations of the normals drawn to a circle and \((2,5)\) is a point on the given circle, then the radius of the circle isTS EAMCET 2025 Medium