Home
Class 11
MATHS
Consider the points O(0,0), A(0,1), and ...

Consider the points O(0,0), A(0,1), and B(1,1) in the x-y plane. Suppose that points C(x,1) and D(1,y) are chosen such that 0ltxlt1. And such that O,C, and D are collinear. Let the sum of the area of triangles OAC and BCD be denoted by S. Then which of the following is/are correct?.

Promotional Banner

Similar Questions

Explore conceptually related problems

If the points (a, 0) (0, b) and (x, y) are collinear, then

If (x, y) is any point on the line joining the points A(a, 0) and B (0, b), then show that (x)/(a)+(y)/(b) = 1

The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

then image of the point (-1,3,4) in the plane x-2y=0

If three point A(x_(1), y_(1)), B(x_(2), y_(2)) and C(x_(3), y_(3)) will be collinear then the area of triangleABC= ____.

Given A(0,0) and B(x,y) with x in (0,1) and y>0. Let the slope of line AB be m_1 . Point C lies on line x=1 such that the slope of BC is equal to m_2 where 0ltm_2ltm_1 If the area of triangle ABC can be expressed as (m_1-m_2)f(x) then the largest possible value of x is

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C. The equation of the plane ABC is

Find the area of a triangle having the points A(1,0,0),B(0,1,0) and C(0,0,1) as its vertices.

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C.