Coordinate Geometry Question 55

Question: The distance between the points $ (am_1^{2},2am_1) $ and $ (am_2^{2},2am_2) $ is

Options:

A) $ a(m_1-m_2)\sqrt{{{(m_1+m_2)}^{2}}+4} $

B) $ (m_1-m_2)\sqrt{{{(m_1+m_2)}^{2}}+4} $

C) $ a(m_1-m_2)\sqrt{{{(m_1+m_2)}^{2}}-4} $

D) $ (m_1-m_2)\sqrt{{{(m_1+m_2)}^{2}}-4} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ s=\sqrt{{{(am_1^{2}-am_2^{2})}^{2}}+{{(2am_1-2am_2)}^{2}}} $

$ =a(m_1-m_2)\sqrt{{{(m_1+m_2)}^{2}}+4} $ .