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My weakest area is LOCUS in cordinate geometry & i cant even understand many problems.
I need a long list of solved variety in questions of finding locus of tangents intersecting with circles, parabolas, hyperbolas
Dear Shirish,
CONDITION 1 : A point P moves such that it is always m units from the point Q.
Locus formed: A circle with centre Q and radius m.
Example :
Construct the locus of a point P at a constant distance of 2 cm from a fixed point Q.
Solution:
Construct a circle with centre Q and radius 2 cm.
CONDITION 2 : A point P moves such that it is equidistant form two fixed pointsX and Y.
Locus formed: A perpendicular bisector of the line XY.
Example:
Construct the locus of point P moving equidistant from fixed points X and Y and XY= 6 cm.
Construct a perpendicular bisector of the line XY.
CONDITION 3: A point P moves so that it is always m units from a straight lineAB.
Locus formed: A pair of parallel lines m units from AB.
Construct the locus of a point P that moves a constant distant of 2 cm from a straight line AB.
Construct a pair of parallel lines 2 cm from AB.
CONDITION 4: A point P moves so that it is always equidistant from two intersecting lines AB and CD.
Locus formed: Angle bisectors of angles between lines AB and CD.
The following figure shows two straight lines AB and CD intersecting at point O. Construct the locus of point P such that it is always equidistant from AB and CD.
Construct angles bisectors of angles between lines AB and CD.
Best Of luck
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