find whether the points (-a, -b),[-(s+1)a,-(s+1)b] and [(t-1)a,(t-1)b] are collinear ?
find whether the points (-a, -b),[-(s+1)a,-(s+1)b] and [(t-1)a,(t-1)b] are collinear ?
Abhinab Nayak , 10 Years ago
Grade 12
Analytical Geometry> find whether the points (-a, -b),[-(s+1)a...
1 Answers
noogler
three points are said to be collinear if area f the triangle formed by the three points is zero.
x1 y1 1 -a -b 1
now lets find the area of triangle = x2 y2 1 = -(s+1)a -(s+1)b 1
x3 y3 1 -(1-t)a -(1-t)b 1
exp det it is so easy,take -a and -b as common then u get all 1’s in R1 and C3
on exp it will equal to zero. so these points are collinear
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on analytical geometry
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
analytical geometry
1 Answer Available
Last Activity: 3 Years ago
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
analytical geometry
1 Answer Available
Last Activity: 4 Years ago
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.
analytical geometry
1 Answer Available
Last Activity: 4 Years ago
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
1 Answer Available
Last Activity: 4 Years ago