CBSE Class 11 (Science) Conic Sections — practice questions
72 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Science) Conic Sections in the app →The equation y² = 4ax represents a PARABOLA with:The eccentricity of a CIRCLE is:The standard form of a circle with centre (3, -2) and radius 5 is:The HYPERBOLA x²/a² − y²/b² = 1 has asymptotes given by:By Kepler's First Law, every planet orbits the Sun in:A satellite dish uses a parabolic reflector because:The Cassegrain telescope design uses the reflective property of a:Who gave the names parabola and hyperbola?Conic sections are obtained by cutting which solid with a plane?The cone used to define conics is described as double:Which is given as an application of conic sections?When the cutting plane is at ninety degrees to the axis, the section is a:When the plane cuts entirely across one nappe at a slant, the section is an:When the plane cuts through both nappes, the section is a:When the plane cuts at the vertex, the sections are called:A plane through the vertex can give a section that is a single:A pair of intersecting straight lines is the degenerate case of a:A circle is the set of points in a plane equidistant from a fixed:The fixed point of a circle is called its:The distance from the centre to a point on the circle is the:The equation of a circle is simplest when its centre is at the:A parabola is the set of points equidistant from a fixed line and a fixed:The fixed line used to define a parabola is called the:An ellipse is the set of points where the sum of two distances is:The two fixed points used to define an ellipse are called the:The eccentricity of an ellipse is defined as a ratio of two:A hyperbola is the set of points where the difference of two distances is:The latus rectum of a parabola passes through the:The latus rectum of an ellipse is perpendicular to the:Conic sections are curves formed when a plane cuts which solid?A plane cuts one nappe of a cone at 90 degrees to its axis. The section is aIf alpha < beta < 90 degrees and the plane cuts one nappe, the curve is aA plane parallel to a generator of the cone (beta = alpha) gives aA plane cutting both nappes of a cone produces which curve?The vertex of a double cone separates it into two parts calledThe rotating line that sweeps out a double cone is called itsA plane passes through the cone's vertex with alpha < beta <= 90 degrees. The section isA plane through the vertex contains a generator of the cone. The section isWhich degenerate section is the degenerate case of a hyperbola?Which equation gives a circle with centre (h, k) and radius r?The circle x² + y² + 8x + 10y - 8 = 0 has which centre and radius?If the fixed point lies on the fixed line, the equal-distance locus isThe axis of a parabola is the line through the focus that isThe point where a parabola meets its axis is called theFor the parabola y² = 4ax with a > 0, the focus is atThe directrix of the parabola y² = 4ax with a > 0 is the lineThe latus rectum of the parabola y² = 4ax has lengthThe parabola y² = 8x has its focus at which point?What is the latus rectum length for the parabola y² = 8x?Which parabola has focus (2, 0) and directrix x = -2?Which parabola has vertex (0, 0) and focus (0, 2)?A parabola y² = 4ax has a latus rectum of length 12. What is a?An ellipse is the set of points whose distances from two fixed points have a constantThe mid point of the segment joining the foci of an ellipse is itsThe segment of an ellipse passing through both foci is called theThe segment through the centre perpendicular to the major axis is theThe end points of the major axis of an ellipse are called itsIn standard notation, the minor axis of an ellipse has lengthIn standard notation, the distance between the two foci of an ellipse isFor an ellipse with semi-axes a and b and focal distance c, which relation holds?If an ellipse has eccentricity e and semi-major axis a, each focus is how far from the centre?Where are the foci of the ellipse x²/25 + y²/9 = 1?What is the minor axis length of the ellipse 9x² + 4y² = 36?The latus rectum of an ellipse with semi-axes a and b has lengthAn ellipse has vertices (±13, 0) and foci (±5, 0). Its equation isAn ellipse has semi-major axis 13 and semi-minor axis 12. How far apart are its foci?The constant sum of focal distances on an ellipse is always what compared to the distance between the foci?A non-degenerate conic with eccentricity exactly 1 is aEccentricity of an ellipse measures how far the ellipse deviates from beingHow many branches does a hyperbola have?A hyperbola is the locus of points where which quantity for two foci is constant?The parabola y² = 4ax with a > 0 extends indefinitely into which quadrants?