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} $ .