Locus Question Preview (ID: 37415)


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If P is a moving point in the rectangle coordinate plane such that the distance between P and the point ( 16, 10) is equal to 4, then the locus of P is a
a) Square
b) Parabola
c) Circle
d) Straight line

The coordinates of the points C and D are (-3,4) and (4,2) respectively and Q is a moving point in the rectangular coordinate plane. Noted that the perpendicular distance from Q to OC is equidistant from Q to OD.The locus of Q is
a) The circle with CD as a diameter.
b) The parabola with O as the vertex and pass through C and D.
c) The perpendicular bisector of CD.
d) The angle bisector of ∠COB.

C (3,0) and D (3,3) are two points in a rectangular coordinate plane. A moving point Q1 maintains a fixed distance of 3 from C. Another moving point Q2 maintains a fixed distance of 6 from D. Which of the following is/are true?
a) The locus of Q1 is a circle with centre (3,0) and radius 3.
b) The locus of Q2 is a straight line equidistant from C and D.
c) The locus of Q2 passes through the centre of the locus of Q1.
d) The locus of Q1 lies outside the locus of Q2 .

A and B are two fixed points in a rectangular coordinate plan. If P is a moving point in the coordinate plane such that the area of triangle PAB is a constant, then the locus of P is
a) a parabola
b) a circle
c) a straight line
d) a pair of parallel lines

If P, a moving point in a rectangular coordinate plane, keeps a fixed distance from the y- axis, P’s locus is
a) A pair of parallel lines
b) A parabola
c) A straight line
d) A pair of intersecting lines

If Q is a moving point in a rectangular coordinate plane such that the distance between Q and the origin is 4, the locus of Q is
a) a straight line
b) a parabola
c) a circle
d) a triangle

A moving point Q maintains an equal distance from two fixed points. The locus of Q is
a) a circle
b) a straight line
c) a pair of straight lines
d) a parabola

R and S are two fixed points. Which of the following conditions will give rise to a locus of point P that is a circle?
a) The moving point P maintains a fixed distance from the line segment RS.
b) The moving point P maintains PR=RS with the point R and S.
c) The moving point P maintains PR perpendicular to PS with the points R and S
d) The moving point P maintains a fixed distance from the line RS.

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