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Locus
Test Description: You have to complete it before moving to the next level!! Good luck!
Instructions: Answer all questions to get your test result.
1) 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
Parabola
B
Straight line
C
Circle
D
Square
2) 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 parabola with O as the vertex and pass through C and D.
B
The circle with CD as a diameter.
C
The perpendicular bisector of CD.
D
The angle bisector of ∠COB.
3) 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 Q2 passes through the centre of the locus of Q1.
B
The locus of Q2 is a straight line equidistant from C and D.
C
The locus of Q1 is a circle with centre (3,0) and radius 3.
D
The locus of Q1 lies outside the locus of Q2 .
4) 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 pair of parallel lines
B
a straight line
C
a parabola
D
a circle
5) 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 pair of intersecting lines
D
A straight line
6) 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 parabola
B
a triangle
C
a straight line
D
a circle
7) 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 parabola
D
a pair of straight lines
8) 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 a fixed distance from the line RS.
D
The moving point P maintains PR perpendicular to PS with the points R and S
9) /
A
/
10) /
A
/
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