AP EAPCET (Engineering) Coordinate Geometry: Parabola — practice questions
60 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice AP 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?Find the vertex of the parabola (y - 2)² = 8(x + 3).Which equation represents a parabola opening downward with vertex at the origin?What point of y² = 4x has parameter t = 3 in the form (at², 2at)?If y² = 4ax passes through (3, -6), what is its latus rectum length?Find the tangent to y² = 4x that has slope 1.What is the normal to y² = 4ax at the point (at², 2at)?A parabolic segment is cut by a chord of length 6 perpendicular to the axis, 4 units from the vertex. Find itsLight travelling parallel to the axis of a parabolic mirror is reflected to which point?For the parabola y = x²/16, what is the focal length?A parabolic mirror has focal length 5 cm. What is its radius of curvature at the vertex?Galileo showed that a projectile under gravity follows which curve?A plane cuts a right circular cone to give a parabola when it isWhich gives the coordinates of a general point on the parabola x² = 4ay?What is the axis of symmetry of y = 2x² - 8x + 1?What is the length of the shortest focal chord of y² = 4ax?A point of y² = 8x has abscissa 5. How far is it from the focus?Where does the point (3, 4) lie with respect to y² = 8x?How many points do y = x + 1 and y² = 4x have in common?Apart from the origin, where does y = x meet y² = 4x?The line y = x cuts a chord on y² = 4x. What is the chord length?What is the tangent at the vertex of y² = 4ax?How far is the focus of y² = 24x from its directrix?In the pin and string construction, the free edge of the set square slides along theWhich device uses a parabolic reflector to send out a parallel beam?A lamp is placed at the focus of a parabolic reflector. The reflected beam isA point moves so that its distance from (3, 0) equals its distance from x = -3. Find its locus.A point of y² = 4x is 5 units from the focus. What is its x-coordinate?