Offline paper
Mathematics · 2017
JEE Main 2017 · 2017-04-02 Offline · Q81
A hyperbola passes through the point P (√ 2, √ 3 ) and has foci at ( ± 2,0). Then the tangent to this hyperbola at P also passes through the point:
A hyperbola passes through the point $\displaystyle \mathrm{P}(\sqrt{2}, \sqrt{3})$ and has foci at $\displaystyle ( \pm 2,0)$. Then the tangent to this hyperbola at P also passes through the point :
Official answer
(1)
$\displaystyle (2 \sqrt{2}, 3 \sqrt{3})$
More from Hyperbola
- Let 0<θ<(π)/2. If the eccentricity of the hyperbola x^2/(cos^2 θ)-y^2/(sin^2 θ)=1 is greater than 2, then the length of its latus rectum lies in the…2019
- Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be 2a and 2b, respectively, and one focus and the corresponding…2025
- A hyperbola passes through the foci of the ellipse x^2/25+y^2/16=1 and its transverse and conjugate axes coincide with major and minor axes of the…2021
- If A and B are the points of intersection of the circle x^2+y^2-8 x=0 and the hyperbola x^2/9-y^2/4=1 and a point P moves on the line 2 x-3 y+4=0,…2025
- Let the equation of two diameters of a circle x^2+y^2-2 x+2 f y+1=0 be 2 p x-y=1 and 2 x+p y=4 p. Then the slope m ∈(0, ∞) of the tangent to the…2022
- The locus of the centroid of the triangle formed by any point P on the hyperbola 16 x^2-9 y^2+32 x+36 y-164=0, and its foci is:2021
- Let a>0, b>0. Let e and l respectively be the eccentricity and length of the latus rectum of the hyperbola x^2/(a^2)-y^2/(b^2)=1. Let e^′ and l^′…2022
- Let x^2/(a^2)+y^2/(b^2)=1, a>b be an ellipse, whose eccentricity is 1/(√2) and the length of the latusrectum is √14. Then the square of the…2024
JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.