AP EAMCET · Maths · Hyperbola
Intersection of two perpendicular tangents to the hyperbola \(\frac{x^2}{4}-\frac{y^2}{2}=1\) lies on the circle \(x^2+y^2=\ldots \ldots \ldots\)
- A 2
- B 12
- C \(\sqrt{2}\)
- D \(2 \sqrt{3}\)
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
Locus of point of intersection of perpendicular tangents to hyperbola \(\frac{x^2}{4}-\frac{y^2}{2}=1\) is the director circle \(x^2+y^2=4-2=2\) Hence, option (a) is correct.
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
- Let \(\mathbf{u}\) and \(\mathbf{v}\) are unit vectors such that \(\mathbf{u} \cdot \mathbf{v}=0\). If \(\mathbf{r}\) is any vector coplanar with \(\mathbf{u}\) and \(\mathbf{v}\), then the magnitude of the vector \(\mathbf{r} \times(\mathbf{u} \times \mathbf{v})\) isAP EAMCET 2021 Easy
- Let \(A\) and \(B\) represent \(z_1\) and \(z_2\) in the Argand plane and \(z_1, z_2\) be the roots of the equation \(Z^2+p Z+q=0\), where \(p, q\) are complex numbers. If \(O\) is the origin, \(O A=O B\) and \(\lfloor A O B=\alpha\), then \(p^2=\)AP EAMCET 2017 Hard
- If the system of equations \(2 x+p y+6 z=8, x+2 y+q z=5\) and \(x+y+3 z=4\) has infinitely many solutions, then \(\mathrm{p}=\)AP EAMCET 2025 Medium
- The number of points on the cure \(y=2 t^2+3 t-5\) and \(x=t^3-4 t^2-3 t\) such that the normals drawn at them on the curve are parallel to \(\mathrm{X}\) - axis isAP EAMCET 2023 Easy
- If \(Q\) is the inverse point of the point \(\mathrm{P}(2,3)\) with respect to the circle \(x^2+y^2-2 x-2 y+1=0\), then the circle with \(\mathrm{PQ}\) as diameter isAP EAMCET 2023 Medium
- The function \(y=\sin ^{-1}(\cos x)\) is not differentiable at ____AP EAMCET 2020 Medium
More PYQs from AP EAMCET
- If \(a x^2-34 x y-5 y^2+2 x+26 y-5=0\) represents a pair of straight lines, then the value of \(a\) isAP EAMCET 2022 Easy
- A vector in the direction of \(v=2 \widehat{i}+3 \hat{j}+\widehat{k}\) with magnitude \(\sqrt{7}\) isAP EAMCET 2020 Easy
- What is the angle of banking of a railway track of radius of curvature \(250 \mathrm{~m}\), if the maximum velocity of the train is \(90 \mathrm{~km} / \mathrm{h}\) ? \(\left(g=10 \mathrm{~ms}^{-2}\right)\)AP EAMCET 2021 Medium
- Let the two values of \(z=\sqrt{\frac{1-i}{1+i}}\) be \(z_1\) and \(z_2\). If \(-\frac{\pi}{2}\)
\( < \operatorname{Arg}\left(\mathrm{z}_1\right) < \operatorname{Arg}\left(\mathrm{z}_2\right) < \pi\), then \(\arg \left(\mathrm{z}_1\right)+\arg \left(\mathrm{z}_2\right)=\)AP EAMCET 2023 Hard - Two water pipes of diameter \(2 \mathrm{~cm}\) and \(4 \mathrm{~cm}\) are separately connected to a main supply line. The velocity of flow of water in the pipe of \(2 \mathrm{~cm}\) diameter isAP EAMCET 2020 Medium
- One thousand small water drops of equal radii combine to form a big drop. The ratio of final surface energy to total initial surface energy isAP EAMCET 2021 Medium