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The distance between two points (0,5) and (5,0) is?
The distance of the point (6,8) from the origin is?
If the distance between the points (4,k) and (1,0) is 5, then the value of k are?
The ratio in which the line segment joining the points (3, 10) and (6,8) is divided by (1,6) is?
Let the ratio be x:1
Coordinate of P
The coordinates of a point on xaxis which is equivalent from the points (3,4) and (2,5) are?
Let the points be (x,0)
Required points
The values of k for which the distance between the points P(2,3) and Q(k,5) is 10 are?
If A (1, 3), B(1,1), C(5,1) are the vertices of a triangle ABC the length of the median through vertex A is?
Length of the median through A
units
The ratio in which the line segment joining the points P(3,6) and Q(5,3) is divided by the xaxis is?
Let the ratio be x:1
Points lies on xaxis, so y=0
Ratio is 2:1
If (1,2), (4,y), (x,6) and (3,5) are the vertices of a parallelogram taken in order, the value of x and y are?
Since the diagonals of a parallelogram bisect each other PA9
So,
The ratio in which yaxis divides the line segment joining the points A (5,6) and B(1,4) is?
AP:PB=x:1
Ratio is 5:1
The two adjacent vertices of a parallelogram are (3,2) and (1,0) and the diagonals intersect at (2,5). The coordinates of the other two vertices are?
Also
Coordinates are (1,12), (5,10)
The distance between (a,b) and (a,b) is?
If Q (0, 1) is equivalent from P(5,3) and R(a,6). The value of a is?
The point on the xaxis which is equivalent from (2,5) and (2,9) is?
Let (x,0) be any point on xaxis
The points are (7,0)
The relation between x and y if the points (x,y), (1,2) and (7,0) are collinear is?
A(x,y), B(1,2), C(7,0)
Area of ABC is 0
The coordinates of the points of intersection of the line segment joining (4,1) and (2,3) are?
AP:PB= x:2x=1:2
AQ=AP+PQ=x+x=2x
AQ:QB=2x:x=2:1
The coordinates of a point A where AD is the diameter of a circle whose center is (2,3) and B is (1, 4) are?
Coordinates are (3,10)
PA18
The area of rhombus if its vertices are (3,0), (4,5), (1,4) and (2,1) is?
Let A (3,0), B(4,5), C(1,4), D(2,1)
Area =
=24 sq. units
The area of the triangle whose vertices are (5,1), (3,5), (5, 2) is?
Area =
=32 sq. units
If the point A (0, 2) is equivalent from the points B(3,x) and C (x,5) the value of x is?
AB=AC
The midpoint of the line segment joining the points P(3,8) and Q (7,4) is?
Let the coordinates be (x,y)
Find the fourth vertex of the parallelogram if three of its vertices are A(10,2), B(8,6), C(6,10).
So,
and
The point on xaxis which are at a distance of \(\sqrt {13} \)units from (2,3) is?
The ratio in which the line joining points (a+b, b+a) and (ab, ba) is divided by point (a,b) is?
The ratio be x:1
The circumcentre of the triangle whose vertices are (0,0), (3, \(\sqrt 3 \)), (0, \(2\sqrt 3 \)) is?
So, ABC is an equilateral triangle
The coordinates of the centroid of the triangle whose vertices are (6,9), (5,7) and (4,10) ?
The distance between the points \((\sqrt 3 + 1,\sqrt 2 – 1)\ & (\sqrt 3 – 1,\sqrt 2 + 1)\) is?
Distance=
If the points (x,0), (0,b) and (1,1) are collinear, which of the following is true?
Dividing ab both the sides we get,
Which point on xaxis is equivalent from (5, 9) and (4, 6)?
Let the coordinates of the point C be (x,0) A (5,9) B(4,6)
AC=CB
The required point is (3,0)
Which point on yaxis is equivalent from (2, 3) and (4, 1)?
Let the points be A(2,3) B(4,1), C(0,y)
Coordinates (0,1)