IIT-JEE Exam

The sum of first 20 terms of the sequence
0.7, 0.77, 0.777, ...., is -

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IIT-JEE Other Question

If the equations x^2 + 2x + 3 = 0 and ax^2 + bx + c = 0,
a, b, c ∈ R, have a common root, then a : b : c is -
(1) 1 : 3 : 2 (2) 3 : 1 : 2
(3) 1 : 2 : 3 (4) 3 : 2 : 1
If the vectors
→
AB = 3iˆ + 4kˆ and
→
AC = 5iˆ – 2 jˆ
+ 4kˆ are the sides of a triangle ABC, then the
length of the median through A is