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Sample Paper 2017
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Define skew lines. Using only vector approach, find the shortest distance between the following two skew lines:



Two lines that are neither parallel or nor intersecting, i.e. non-co-planer are skew lines.


We know, distance between two skew lines and


is



Here,




And



Here,







And




And



Therefore,



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25

Does the following trigonometric equation have any solutions? If Yes, obtain the solution(s):


OR


Determine whether the operation * define below on Q is binary operation or not.


a * b = ab+1


If yes, check the commutative and the associative properties. Also check the existence of identity element and the inverse of all elements in.


26

Find the value of x, y and z, if A =satisfies A’ = A1

OR


Verify: A(adjA) = (adjA)A = |A|I for matrix A =


27

Find , if

28

Find the shortest distance between the line x - y + 1 = 0 and the curve y2 = x.

Questions · 29
Sample Paper 2017
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