EASY
JEE Main
IMPORTANT
Earn 100

Find the locus of a point such that the line segments having end points (2,0) and (-2,0) subtend a right angle at that point.

Important Questions on Cartesian System of Rectangular Coordinates

EASY
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 1 - Cartesian System of Rectangular Coordinates>1.5>Q 21
If P is the middle point of the straight line joining a given point A1, 2 and Q, where Q is a variable point on the curve x2+y2+x+y=0. Find the locus of P.
HARD
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 1 - Cartesian System of Rectangular Coordinates>1.5>Q 22
A2, 3 is a fixed point and Q3 cosθ, 2 sinθ a variable point. If P divides AQ internally in the ratio 3:1, find the locus of P.
HARD
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 1 - Cartesian System of Rectangular Coordinates>1.5>Q 23
From the point A6,-8, all possible lines are drawn to cut the x-axis. Find the locus of their middle points.
HARD
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 1 - Cartesian System of Rectangular Coordinates>1.5>Q 24
A stick of length l slides with its ends on two mutually perpendicular lines. Find the locus of the middle point of the stick.
HARD
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 1 - Cartesian System of Rectangular Coordinates>1.5>Q 25
Prove that the locus of the point equidistant from two given points is the straight line which bisects the line segment joining the given points at right angles.
HARD
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 1 - Cartesian System of Rectangular Coordinates>1.5>Q 26
Describe the locus of the point x, y satisfying the condition x2+y2=a2 .
HARD
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 1 - Cartesian System of Rectangular Coordinates>1.5>Q 27
Describe the locus of the point x, y satisfying x-12+y-12=22 .
HARD
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 1 - Cartesian System of Rectangular Coordinates>1.5>Q 28
Examine whether point 1, 2 lies on the curve 4x2-y2=0.