AP EAMCET · Maths · Ellipse
The equation of the tangent to the ellipse \(x^2+16 y^2=16\) which makes an angle \(60^{\circ}\) with the \(X\)-axis is
- A \(\sqrt{3} x-y+7=0\)
- B ) \(\sqrt{3} x+y+7=0\)
- C \(\sqrt{3} x+y-7=0\)
- D \(\sqrt{3} x-y=0\)
Answer & Solution
Correct Answer
(A) \(\sqrt{3} x-y+7=0\)
Step-by-step Solution
Detailed explanation
Equation of tangent to the ellipse \(\frac{x^2}{16}+\frac{y^2}{1}=1\), have slope \(m=\tan 60^{\circ}=\sqrt{3}\) is \(\begin{aligned} & y=\sqrt{3} x \pm \sqrt{48+1} \\ \Rightarrow \quad & \sqrt{3} x-y+7=0 \text { or } \sqrt{3} x-y-7=0\end{aligned}\)
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
- Area of the triangle formed by the complex numbers \(\mathrm{z}, \mathrm{iz}\) and \(\mathrm{z}+\mathrm{iz}\) in the Argand diagram as vertices isAP EAMCET 2022 Medium
- The following data represents the frequency distribution of 20 observations
Then its mean deviation about the mean is\(x_i\) 3 4 5 8 10 11 \(f_i\) \(\alpha+2\) \((\alpha-1)^2\) 4 \(\alpha-1\) 2 \(\alpha\) AP EAMCET 2025 Medium - If \(P\) and the origin are the points of intersection of the parabolas \(y^2=32 x\) and \(2 x^2=27 y\); and if \(\theta\) is the acute angle between these curves at \(P\), then \(5 \sqrt{\tan \theta}=\)AP EAMCET 2018 Medium
- The distance between the lines represented by \(4 x^2+20 x y+25 y^2+2 x+5 y-12=0\) is equal toAP EAMCET 2022 Medium
- A radar system can detect an enemy plane in one out of ten consecutive scans. The probability that it can detect an enemy plane atleast twice in four consecutive scans isAP EAMCET 2025 Medium
- The number of ways of distributing 3 dozen fruits (no two fruits are identical) to 9 persons such that each gets the same number of fruits isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- If \(\alpha, \beta\) are the irrational roots of the equation \(x^5-5 x^4+9 x^3-9 x^2+5 x-1=0\), then the roots of the equation \((\alpha+\beta) x^2+2 \alpha \beta x-\alpha \beta=0\) areAP EAMCET 2018 Medium
- The lines \(L_1: y-x=0\) and \(L_2: 2 x+y=0\) intersect the line \(L_3: y+2=0\) at \(P\) and \(Q\) respectively. The bisector of the acute angle between \(\mathrm{L}_1\) and \(\mathrm{L}_2\) intersects \(\mathrm{L}_3\) at \(\mathrm{R}\).
Statement 1: PR : RQ \(=2 \sqrt{2}: \sqrt{5}\)
Statement 2: In any triangle, the bisector of an angle divides the triangle into two similar triangles.AP EAMCET 2023 Medium - The electron configuration of is (atomic number of )AP EAMCET 2021 Easy
- Given points, \(A(6,0), B(0,4)\) and \(O\) as the origin, find the locus of a point \(P\) such that area of \(\triangle P O B\) is 2 times the area of \(\triangle P O A\).AP EAMCET 2021 Easy
- The number of \(120^{\circ}, \mathrm{Cl}-\mathrm{P}-\mathrm{Cl}\) angles in phosphorus pentachloride areAP EAMCET 2020 Easy
- The time period of a particle in simple harmonic motion is \(8 \mathrm{~s}\). At \(t=0\), it is at the mean position. The ratio of the distances travelled by it in the first and second seconds isAP EAMCET 2012 Medium