TS EAPCET (Engineering) Coordinate Geometry: Parabola — practice questions
33 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAPCET (Engineering) Coordinate Geometry: Parabola in the app →A parabola is the set of points equidistant from a fixed point and:The fixed line used to define a parabola is called its:The line through the focus perpendicular to the directrix is the parabola's:The point where a parabola meets its axis is called the:What is the eccentricity of every parabola?Which ancient geometer gave the parabola its name?Archimedes found the area of a parabola segment using the:Menaechmus used parabolas to attack which classical problem?A plane parallel to a generator of a cone, cutting across one nappe, gives a:If the focus lies on the directrix, the equidistant locus is a:The parabola y² = 20x opens towards the:The focus of the parabola y² = 12x is:The length of the latus rectum of x² = -16y is:The latus rectum of the parabola y² = 10x has length:Find the equation of the parabola with focus (6, 0) and directrix x = -6.A parabola has vertex (0, 0) and focus (3, 0). Its equation is:A parabola symmetric about the y-axis with vertex at origin passes through (2, -3). Its equation is:A parabola with vertex at origin has directrix x = -5. Its equation is:What is the distance between the focus and the directrix of y² = 12x?The parabola y² = 4ax passes through (4, 4). Its focus is:A point of y² = 16x has x-coordinate 4. Its distance from the focus is:The parabola x² = -4ay has latus rectum 24. The value of a is:Two perpendicular tangents to a parabola always meet on its:Three tangents to a parabola form a triangle. Which circle passes through the focus?A tangent at an end of the latus rectum meets the axis at what angle?A parabola has focal length f. The focus is how far from an end of its latus rectum?A ray parallel to a parabola's axis strikes it and is reflected through the:A tangent to a parabola bisects the angle between the focal line and the:The foot of the perpendicular from the focus to any tangent lies on the:Any two parabolas can be moved and rescaled to coincide, so all parabolas are:At which point is a parabola most sharply curved?Which device commonly uses a parabolic reflector?Besides parabolas, which conic type has all its members mutually similar?