A point moves such that the area of the ...

A point moves such that the area of the triangle formed by it with the points (1, 5) and `(3,-7) is 21 s qdotu n i t sdot` Then, find the locus of the point.

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

Find the area of the triangle formed by the points (1,2),(3,-4) and (-2,0)

Find the area of the triangle formed by the points (9,-7),(2,4) and (0,0)

Find the value of x, if the area of the triangle formed by the points (10,2)(-3,-4) and (x,1) is 5.

Find the value of k, if the area of the triangle formed by the points (k,0),(3,4) and (5,-2) is 10.

Find the incentre of the triangle formed by the points A(7,9), B(3,-7) and C(-3,3).

Find the centroid of the triangle formed by the points (2,7) (3,-1)(-5,6).

Find the area of a triangle formed by the points A(5,\ 2),\ B(4,\ 7)\ a n d\ C(7, 4)dot

Find the area of the triangle formed by the points P(-1. 5 ,\ 3),\ Q(6,\ -2)\ a n d\ R(-3,\ 4)dot

All the points lying inside the triangle formed by the points (1, 3), (5, 6), and (-1, 2) satisfy :

The area of the triangle formed by three point sqrt3 +i, -1+sqrt3i and (sqrt3-1) +(sqrt3+1)i is ________

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

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
|
A particle just clears a wall of height b at distance a and strikes...
Text Solution
|
Convert the following polar coordinates to its equivalent Cartesian...
Text Solution
|
If (2, 3, 5) is one end of a diameter of the sphere x^2+""y^2+""z^2...
Text Solution
|
Convert r=4tanthetasectheta into its equivalent Cartesian equation.
Text Solution
|
Given the equation 4x^2+2sqrt(3)x y+2y^2=1 . Through what angle should...
Text Solution
|
The equation of a curve referred to a given system of axes is 3x^2+...
Text Solution
|