Conic Sections CBSE Questions & Answers

A and B are two distinct points, Locus of a point P satisfying \(\left| {{\text{ PA }}} \right|{\text{ }} + {\text{ PB}}|{\text{ }} = {\text{ 2k}}\), a constant is

The eccentricity of the hyperbola \({x^2} - {y^2} = 9\) is

locus of the point of intersection of the lines x = sec \(\theta \) + tan \(\theta \) and y = sec \(\theta \) – tan \(\theta \) is

The line y = m x + c, touches the parabola \({y^2} = 4\;a\,x\) if

The equations \(x = a{t^2},y = 4at\;;\;t \in \;\;R\) represent

\(x = {{{e^t} + {e^{ - t}}} \over 2},y \ne {{{e^t} - {e^{ - t}}} \over 2};t \in R\) represents

The vertex of the parabola \({y^2} = 4\;a(x - a)\) is

The two parabolas \({x^2} = 4y\) and \({y^2} = 4x\) meet in two distinct points. One of these is the origin and the other is

The equation of the directrix of the parabola \({x^2} = - 4\;a\;y\) is

The eccentricity ‘e’ of a parabola is

The ellipse = \({{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1,{b^2} = {a^2}\) is a

The equations x = a cos \(\theta \) , y = b sin \(\theta \), 0 \(≤\) \(\theta \) <\({\rm{2}}\pi \) , a \( \ne \) b, represent

The graph of the function f(x) = \({1 \over x}i.e.\) the curve \(y = {1 \over x}\) is

The line y = c touches the parabola \({y^2} = 4a\;x\) when

The parabolas \({x^2} = 4y\) and \({y^2} = 4x\) intersect