A variable line through the point P(2,1)...

A variable line through the point `P(2,1)` meets the axes at A an d B . Find the locus of the centroid of triangle `O A B` (where `O` is the origin).

Text Solution

AI Generated Solution

Topper's Solved these Questions

COMPLEX NUMBERS
CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|9 Videos
CONTINUITY AND DIFFERENTIABILITY
CENGAGE ENGLISH|Exercise Comprehension Type|2 Videos

Similar Questions

Explore conceptually related problems

A variable line passing through point P(2,1) meets the axes at A and B . Find the locus of the circumcenter of triangle O A B (where O is the origin).

A circle of radius r passes through the origin and meets the axes at A and B. The locus of the centroid of triangleOAB" is"

A straight line through the point (1,1) meets the X-axis at A and Y-axis at B. The locus of the mid-point of AB is

A circle of radius 'r' passes through the origin O and cuts the axes at A and B,Locus of the centroid of triangle OAB is

A variable line y=m x-1 cuts the lines x=2y and y=-2x at points Aa n dB . Prove that the locus of the centroid of triangle O A B(O being the origin) is a hyperbola passing through the origin.

A circle of constant radius 3k passes through (0,0) and cuts the axes in A and B then the locus of centroid of triangle OAB is

A variable plane is at a distance k from the origin and meets the coordinates axes is A,B,C. Then the locus of the centroid of DeltaABC is

A line is drawn through the point (1, 2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin. If the area of the triangle OPQ is least, then the slope of the line PQ is

A variable plane passes through a fixed point (a,b,c) and meets the axes at A ,B ,a n dCdot The locus of the point commom to the planes through A ,Ba n dC parallel to the coordinate planes is

A circle passes through origin and meets the axes at A and B so that (2,3) lies on bar(AB) then the locus of centroid of DeltaOAB is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

The coordinates of the point A and B are (a,0) and (-a ,0), respecti...
Text Solution
|
The locus of the foot of perpendicular drawn from origin to a variabl...
Text Solution
|
A variable line through the point P(2,1) meets the axes at A an d B...
Text Solution
|
If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...
Text Solution
|
Let A(2,-3) and B(-2,1) be the vertices of Delta A B Cdot If the ...
Text Solution
|
Convert the following points from polar coordinates to the correspon...
Text Solution
|
A straight line is drawn through P(3,4) to meet the axis of x and y...
Text Solution
|
A variable line passing through point P(2,1) meets the axes at A and...
Text Solution
|
A point moves such that the area of the triangle formed by it with ...
Text Solution
|
Find the locus of the point of intersection of lines xcosalpha+ysin...
Text Solution
|
Find the locus of the middle point of the portion of the line xcosa...
Text Solution
|
Q is a variable point whose locus is 2x+3y+4=0; corresponding to a ...
Text Solution
|
Convert y=10 into a polar equation.
Text Solution
|
Convert the following Cartesian coordinates to the corresponding po...
Text Solution
|
Find the minimum distance of any point on the line 3x+4y-10=0 from ...
Text Solution
|
If the difference between the roots of the equation x^2+""a x""+""1...
Text Solution
|
Express the polar equation r=2costheta in rectangular coordinates.
Text Solution
|
Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...
Text Solution
|
Convert rsintheta=rcostheta+4 into its equivalent Cartesian equatio...
Text Solution
|
Convert r=cos e ctheta e^(rcostheta) into its equivalent Cartesian e...
Text Solution
|