ExamBro
ExamBro
CUET · MATHS · PYQ PAPER 2025

If the points \(( a 1, b 1),( a 2, b 2)\) and \(( a 1+ a 2, b 1+ b 2)\) are collinear, then

  1. A \(a_1 b_1=-a_2 b_2\)
  2. B \(a_1 b_1=a_2 b_2\)
  3. C \(a_1 b_2=a_2 b_1\)
  4. D \(a_1 b_2=-a_2 b_1\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(a_1 b_2=a_2 b_1\)

Step-by-step Solution

Detailed explanation

\( \frac{b_2 - b_1}{a_2 - a_1} = \frac{(b_1+b_2) - b_2}{(a_1+a_2) - a_2} \) \( \frac{b_2 - b_1}{a_2 - a_1} = \frac{b_1}{a_1} \) \( a_1(b_2 - b_1) = b_1(a_2 - a_1) \) \( a_1 b_2 - a_1 b_1 = a_2 b_1 - a_1 b_1 \) \( a_1 b_2 = a_2 b_1 \)
From CUET
Explore more questions on app