If the coordinates of two points A and B...

If the coordinates of two points A and B are (3,4) and (5,-2) respectively . Find the coordinates of any point 'c' , if AC =BC and area of triangle ABC =10 sq. units.

Topper's Solved these Questions

COORDINATE GEOMETRY
FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Multiple choice questions)|14 Videos
ALGEBRA
FULL MARKS|Exercise Additional Questions Solved|72 Videos
DEPARTMENTAL MODEL PAPER
FULL MARKS|Exercise PART-IV|3 Videos

Similar Questions

Explore conceptually related problems

If the coordiantes of two points A and B are (3,4) and (5, -2) respectively. Find the coordinates of any point P if PA = PB and area of DeltaPAB =10 sq. units.

AD is the median on BC. Find the coordinates of the point D

If the coordinates of the points A,B,C,D be (1,2,3),(4,5,7),(-4,3,-6) and (2,9,2) respectively , then find the angle between the line AB and CD.

If the coordinate of the mid - point of the sides AB, BC and CA of a trinagle are (3,4) (1,1) and (2,-3) respectively , then the vertice A and B of the triangle are .

Let P(11, 7), Q(13.9, 4) an dR(9.5, 4) be the mid points of the sides AB, BC and AC respectively of triangleABC . Find the coordinates of the vertices A, B, and C. Hence find the area of triangleABC and compare this with area of trianglePQR .

If the coordinates of the vertices of triangle A B C are (-1,6),(-3,-9) and (5,-8) , respectively, then find the equation of the median through Cdot

The coordinates of the middle points of the sides of a triangle are (4, 2), (3, 3) and (2,2) then the coordinates of the centroid are

If the coordinates of the points A,B,C be (-1,5),(0,0) and (2,2) respectively, and D be the middle point of BC , then the equation of the perpendicular drawn from B to the line AD is

The centroid of a triangle ABC is at the point (1,1,1) . If the coordinates of A and B are (3,-5,7) and (-1,7,-6) , respectively, find the coordinates of the point C.

FULL MARKS-COORDINATE GEOMETRY -ADDITIONAL QUESTIONS SOLVED (Answer the following questions)

If the points (3,-4) (1,6) and (-2,3) are the vertices of a triangle ,...
Text Solution
|
If the area of the triangle formed by the points (1,2) (2,3) and a,4) ...
Text Solution
|
If the points A(2,5) ,B(4,6) and C(8,a) are collinear find the value o...
Text Solution
|
If (x, y) is any point on the line joining the points A(a, 0) and B (0...
Text Solution
|
A straight line passes through (1,2) and has the equation y-2x-k =0 . ...
Text Solution
|
If a line passes through the mid point of AB where A is (3,0) and B is...
Text Solution
|
Find the equation of the line through (3,2) and perpendicular to the l...
Text Solution
|
P and Q trisect the line segment joining the points (2,1) and (5,-8) ....
Text Solution
|
Find the equation of the line passing through (4,5) and making equal i...
Text Solution
|
Find the equation of the line passing through (2,-1) and whose interce...
Text Solution
|
The straight line cuts the coordinate axes at A and B. if the mid poin...
Text Solution
|
If the coordinates of two points A and B are (3,4) and (5,-2) respecti...
Text Solution
|
The four vertices of a quadrilateral are (1,2) (-5,6) (7,-4) and (k,-2...
Text Solution
|
Find the area of a triangle whose three sides are having the equations...
Text Solution
|
Verify the Median of a triangle divides into two triangles of the equa...
Text Solution
|
Find the area of the DeltaABC with A(1,-4) and the mid points of sides...
Text Solution
|
Find the equation of the straight lines passing through (-3,10) whose ...
Text Solution
|
Find the equation of the straight line passing through the point of i...
Text Solution
|
Find the equation of the line passing through the points of intersecti...
Text Solution
|
Find the equation of the line through the point of intersection of the...
Text Solution
|