AP EAPCET (Engineering) Coordinate Geometry: Locus — practice questions
38 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: Locus in the app →Which line is the set of points as near to the origin as to (4, 0)?Points P satisfy PA = PB with A(1, 2) and B(3, 4). What is the equation of this set?Every point of a curve is as far from (2, 0) as from (0, 2). Its equation isA point stays exactly 5 units from the origin. Which equation holds for it?A point stays 3 units from (2, -1). Its locus has equationA point moves so its distance from the x-axis is always 3. The locus isThe distance of P from the y-axis is double its distance from the x-axis. P lies onSquares of a point's distances to (1, 0) and (-1, 0) add up to 10. It lies onPA² exceeds PB² by 8, with A the origin and B(4, 0). P lies onA parabola has focus (2, 0) and directrix x = -2. Give its equation.A dish has focus (0, 3) and directrix y = -3. Which equation fits it?Each point of a curve is as far from the origin as from the line x = -1. The curve isFind the ellipse with foci (±3, 0) and focal distance sum 10.A string of length 8 loops foci at (2, 0) and (-2, 0). The pencil tracesFoci at (0, 4) and (0, -4) with focal sum 10 give the ellipseWhich hyperbola has foci (±5, 0) and focal difference 6 in size?A hyperbola has foci (±5, 0) and transverse axis length 8. It isPoints at twice the distance from the origin as from (3, 0) lie onP runs on x² + y² = 36 and A is (6, 0). The midpoint of PA moves onP slides along x + y = 4 and O is the origin. The midpoint of OP tracesA ladder of length 6 slides with its ends on the axes. Its midpoint tracesA(-2, 0) and B(2, 0) are fixed. A point P sees AB at a right angle. P lies onThe area of triangle PAB is 8 with A(0, 0) and B(4, 0). The locus of P isThe locus of points equidistant from two intersecting lines isAll points with equal distances from the lines y = x and y = -x satisfyPoints where |x| and |y| agree, being equally far from both axes, lie onWhich pair of lines is traced by a point 2 units away from y = 1?A point is double as far from the origin as from the x-axis. It lies onA point sees the segment from (1, 2) to (5, 4) at a right angle. Its path isThe Latin word from which "locus" comes meansWhich phrase best defines the locus of a point?In the old view, a circle was the locus of a point at a given distance fromThe set of critical points of a differentiable function is itsThe set of singular points of an algebraic variety is called itsThe Mandelbrot set is described as the connectedness locus of a family ofThe locus of the inequality 2x + 3y - 6 < 0 is the part of the planeIn one Apollonian family, each circle is the locus of points whose ratio of distances to two fixed points isEvery circle in one Apollonian family meets every circle of the other family