Home
Class 12
MATHS
i^(2)+ i^(4) +i^(6) +……" upto " (2k + ...

` i^(2)+ i^(4) +i^(6) +……" upto " (2k + 1) ` terms , ` k in N ` is :

A

0

B

1

C

`-1`

D

k

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the shortest distance between the skew lines ⃗ r = ( ⃗ i + 2 ⃗ j + ⃗ k ) + λ ( ⃗ i − ⃗ j + ⃗ k ) and ⃗ r = ( 2 ⃗ i − ⃗ j − ⃗ k ) + η ( 2 ⃗ i + ⃗ j + 2 ⃗ k )

The ease of adsorption of the hydrated alkali metal ions on an ion-exchange resins follows the order (1) L i + < K + < N a + < R b + (2) R b + < K + N a + < L I + (3) K + < N a + < R b + < L i + (4) N a + < L i + < K + < R b +

Matrix A such that A^(2) = 2A - I , where I is the identity matrix, then for n ge 2, A^(n) is equal to a) 2^(n - 1) A - (n - 1) I b) 2^(n - 1)A - I c) n A - (n - 1) I d) nA - I

A and B are two non - singular matrices such that A^(6) = I and AB^(2) = BA( B != I) . A value of k so that B^(k) = I is a)31 b)32 c)64 d)63

The lines r = i + j - k + lambda (3i - j) and r = 4i - k + mu (2i + 3k) intersect at the point

The angle between the line r = (i + 2j + 3k) + lambda (2i + 3j + 4k) and the plane r.(i + 2j -2k) = 0 is a) 0^(@) b) 60^(@) c) 30^(@) d) 90^(@)

The sum of i-2-3i+4 cdots upto100 terms where i= sqrt(-1) is

The position vector of the centroid of the Delta ABC is 2i + 4j + 2k . If the position vector of the vertex A is 2i + 6j + 4k, then the position vector of midpoint of BC is a)2i + 3j + k b)2i + 3j - k c)2i - 3j - k d) -2i - 3j - k