Home
Class 10
MATHS
Prove that the following points are coll...

Prove that the following points are collinear :
`{:((i)(2","1)","(4","3)and(3","2),(ii)(9","6)","(-1","4)and(2","5)),((iii)(b+c","a)","(c+a","b)and(a+b","c),(iv)(5","6)","(-1","4)and (2","5)):}`

Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 7d|18 Videos

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer Questions|10 Videos

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 7b|18 Videos

  • CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|3 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN|Exercise PROBLEMS FROM NCERT/ EXEMPLAR|10 Videos

Similar Questions

Explore conceptually related problems

Show that the following points are collinear: (i) A(2, -2), B(-3, 8) and C(-1, 4) (ii) A(-5, 1), B(5, 5) and C(10, 7) (iii) A(5, 1), B(1, -1) and C(11, 4) (iv) A(8, 1), B(3, -4) and C(2, -5)

Use determinants to show that the following points are collinear. (i) A(2, 3), B(-1, -2) and C(5, 8) (ii) A(3, 8), B(-4, 2) and C(10, 14) (iii) P(-2, 5), Q(-6, -7) and R(-5, -4)

Prove that the following points are the vertices of an isosceles right-angled triangle : (i) A(-8, -9), B(0, -3) and C(-6, 5) (ii) A(1,-1), B(-2,2) and C(-2, -1)

Prove that the points A(9,-1,4),B(-1,-3,2) and C(4,-2,3) are collinear.

Prove that the points A (1,2,3) , B (4,0,4), C (-2,4,2) and (7,-2,5) and collinear.

Find the area of Delta ABC whose vertices are : (i) A(1, 2), B (-2, 3) and C(-3, -4) (ii) A(-5, 7), B(-4, -5) and C(4, 5) (iii) A(3, 8), B(-4, 2) and C(5, -1) (iv) A(10, -6), B(2, 5) and C(-1, 3)

Using vectors, find the area of Delta ABC whose vertices are (i) A(1,1,2),B(2,3,5) and C(1,5,5) (ii) A(1,2,3),B(2,-1,4) and C(4,5,-1) (iii) A(3,-1,2),B(1,-1,-3) and C(4,-3,1) (iv) A ( 1,-1,2),B(2,1,-1) and C(3,-1,2).

Find the area of the triangle whose vertices are: (i) A(3, 8), B(-4, 2) and C(5, -1) (ii) A(-2, 4), B(2, -6) and C(5, 4) (iii) A(-8, -2), B(-4, -6) and C(-1, 5) (iv) P(0, 0), Q(6, 0) and R(4, 3) (v) P(1, 1), Q(2, 7) and R(10, 8)

Prove that the points A(3,-2,4) , B(3,-2,4), B(1,1,1) and C(-1,4,-2) are collinear.

In each of the following, check how the points A,B and C are situated. (i) A(-2,2),B(8,-2),C(-4,-3) (ii) A(-a,-b),B(a,b),C(a^2,ab),agt1 (iii) A(4,0),B(-1,-1),C(3,5)