Home
Class 12
MATHS
Using determinant : Show that the poi...

Using determinant :
Show that the points (a,b+c),(b,c+a) and (c,a+b) are collinear .

Text Solution

Verified by Experts

The correct Answer is:
`|{:(" "16,-12,-8),(-1,-6," "5),(-21," "18,-3):}|;|{:(" "-4/9," "1/2," "2/9),(" "1/36," "1/6,-5/36),(" "7/12,-1/2," "1/12):}|`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answers Type)|5 Videos
  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Integer Answer Type )|5 Videos
  • DETERMINANT

    CHHAYA PUBLICATION|Exercise EXERCISE 2B|111 Videos
  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

Prove that (a,b+c), (b,a+c) and (c,a+b) are collinear.

Prove that (a,b + c), (b,a + c) and (c, a + b) are collinear.

Show that the points A(1,2,7),B(2,6,3) and C(3,10,-1) are collinear.

Using vector method show that the points A(-5,7), B(-4,5) and C(1, -5) are collinear.

If a ,b ,c are the p t h ,q t h ,r t h terms, respectively, of an HP , show that the points (b c ,p),(c a ,q), and (a b ,r) are collinear.

Prove that the points (a,bc-a^(2)),(b,ca-b^(2)),(c,ab-c^(2)) are collinear.

Show that the points A (4 , 7 , -6) , B (2 , 5 , -4) and C ( 1 , 4 , -3) are collinear.

Find the value of ‘b’ for which the points A(1, 2), B(-1, b) and C(-3, -4) are collinear .

Using section formula show tht the points A(2,-3,4) ,B (-1,2,1) and C(0,1/3,2) are collinear

Let a,b,c be in A.P and x,y,z be in G.P.. Then the points (a,x),(b,y) and (c,z) will be collinear if