The value of a + 1 a + 2 a + 2 1 a + 2 a + 3 a + 3 1 a + 3 a + 4 a + 4 1 is

The value of a+1a+2a+21a+2a+3a+31a+3a+4a+41 is
  1. 0
  2. a+2a+3a+4
  3. -2
  4. a+1a+2a+3

Solution

R2R2-R1 and R3R3-R1

Δ=a+1a+2a+21a+2a+3-a-110a2+7a+12-a2-3a-220

=a2+3a+2a+212a+2104a+1020

=4a+2-4 a-10

=4a+8-4a-10=-2

Asked in: JEE Main 2021 (26 Feb Shift 1)

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