Question bank/JEE Main/Mathematics

Consider a ∆ABC and let a, b and c denote the lengths of the
sides opposite to vertices A, B
and C respectively AD be a median of the ∆ABC. If AE and AF are medians
of the triangle
ABD and ADC respectively and AD = m_1, AE = m_2, AF = m3
then[IMAGE] is equals to
ekukfd ∆ABC esa rFkk ekuk a, b
lEeq[k Hkqtkvksa rFkk
gS rFkk
AD = m_1, AE = m_2, AF = m3 rc[IMAGE] cjkcj

A$m_{2}^{2} + m_{3}^{2} - 2m_{1}^{2}$B$m_{1}^{2} + m_{2}^{2} - 2m_{3}^{2}$C$m_{1}^{2} + m_{3}^{2} - 2m_{2}^{2}$D$m_{1}^{2} + m_{2}^{2} - m_{3}^{2}$

Show answer and solution▾

Source: Grass-G / M-26 Mathematics Paper 1 15 Jan.docx