Home
Class 12
MATHS
If the points (a1,b1) (a2,b2) and (a1+a2...

If the points `(a_1,b_1) (a_2,b_2) and (a_1+a_2,b_1+b_2)` are collinear, then show that `a_1b_2=a_2b_1`

Text Solution

Verified by Experts

The correct Answer is:
`a_2b_1`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise PART -3 QUESTION FOR PRACTICE |11 Videos
  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise PART -4 QUESTION FOR PRACTICE |27 Videos
  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise PART -1 QUESTION FOR PRACTICE |54 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (4 MARK)|47 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos

Similar Questions

Explore conceptually related problems

Show that the line passing through the points (a_1,b_1,c_1) and (a_2,b_2,c_2) passes through the origin , if a_1a_2+b_1b_2+c_1c_2=p_1p_2. where p_1 and p_2 are distances of the points from origin.

Show that the points A(2, 3, -4), B(1, -2, 3) and C(3, 8, -11) are collinear.

Are the points A (2,6,3), B (1,2,7) and (3,10,-1) collinear?

Show that the condition that the curves ax^(2) + by^(2) = 1 and a_(1)x^(2) + b_(1)y^(2) = 1 should intersect orthogonally such that (1)/(a) - (1)/(b) = (1)/(a_(1)) - (1)/(b_(1)) .

Why is K_(a_2) lt lt K_(a_1) for H_2SO_4 in water?

Write the value of k, if |{:(aa_1,aa_2,aa_3),(ab_1,ab_2,ab_3),(ac_1,ac_2,ac_3):}|=k|{:(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3):}|