Tangent to a hyperbola

JEE Main Mathematics · Hyperbola · 4 questions, latest first

• The length of the latus rectum and directrices of a hyperbola with eccentricity e are 9 and x= ± 4/(√3), respectively. Let the…20246 April, Shift 2 · Q27
• The foci of a hyperbola are ( ± 2,0) and its eccentricity is 3/2. A tangent, perpendicular to the line 2 x+3 y=6, is drawn at a…202313 April, Shift 2 · Q28
• Let m_1 and m_2 be the slopes of the tangents drawn from the point P(4,1) to the hyperbola H: y^2/25-x^2/16=1. If Q is the point…202313 April, Shift 1 · Q26
• Let P(x_0, y_0) be the point on the hyperbola 3 x^2-4 y^2=36, which is nearest to the line 3 x+2 y=1. Then √2(y_0-x_0) is equal…20231 February, Shift 2 · Q73