Normal to a hyperbola

JEE Main Mathematics · Hyperbola · 2 questions, latest first

• Let the tangent to the parabola y^2=12 x at the point (3, α) be perpendicular to the line 2 x+2 y=3. Then the square of distance…202311 April, Shift 2 · Q27
• The vertices of a hyperbola H are ( ± 6,0) and its eccentricity is (√5)/2. Let N be the normal to H at a point in the first…202325 January, Shift 1 · Q86