HARD
Earn 100

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer.

(-3,5), (1,10), (3,1), (-1,-4)

Important Questions on Coordinate Geometry

MEDIUM

Find the point on y-axis which is equidistant from the points 5,-2 and -3,2.

EASY
The points a,b+c,b,c+a,c,a+b are the vertices of which of the following?
EASY
ABC is an isoceless triangle. If the coordinates of the base are B(1, 3), C(-2, 7), the coordinates of A are
EASY
The distance between the points 1,0 and 0,1 is
MEDIUM
Let ABCD be a square of side length 1, and Γ a circle passing through B and C, and touching AD. The radius of Γ is
HARD
If the point P(x,y) is equidistant from the points A(5,1) and B(1,5), then prove that x=y.
EASY
The straight lines x+y=0,3x+y-4=0 and x+3y-4=0 form a traingle which is
HARD
If C is the midpoint of the line segment joining A4,0 and B0,6 and if O is the origin, then show that C is equidistant from all three vertices of OAB.
HARD
If the distance between the points (x,0) and (-7, 0) is 10. Then, the possible values of x are ______.
EASY
If the points P(7,5), Q(a,2a) and R(12,30) are collinear, then the value a is equal to
MEDIUM

Find the relation between x and y such that point x,y is equidistant from the points 7,1 and 3,5.

EASY
If x, y is equidistant from a+b, b-a and a-b, a+b , then
MEDIUM

Find the point on the x-axis which is equidistant from (2,-5) and (-2, 9).

EASY
The distance between the points acos θ+bsin θ, 0 and 0, asin θ-bcos θ, is 
EASY

The distance between the points (0,0) and (-8, 6) is

MEDIUM
The point x,y is equidistant from the points 7,1 and 3,5, Then
EASY

Calculate the distance of point 2, 5 from the origin

MEDIUM
Let x0,y0 be fixed real numbers such that x02+y02>1. If x, y are arbitrary real numbers such that x2+y21, then the minimum value of x-x02+y-y02 is
 
HARD
Let ABCD be a square of side length 1 . Let P,Q,R,S be points in the interiors of the sides AD,BC,AB,CD respectively, such that PQ and RS intersect at right angles. If PQ=334, then RS equals
MEDIUM
Let A=a1,a2 and B=b1, b2 be two points in the plane with integer coordinates. Which one of the following is not a possible value of the distance between A and B?