Match the following columns.
Column IColumn II(A) The equation have exactly one root is , then is…

Question

Match the following columns.
Column IColumn II(A) The equation  have exactly one root is , then  is (where [•] denotes the greatest integer function)(P)    0(B) If , then is (where [ ⋅ ]denotes the greatest integer function)(Q)    1(C)    If  and have both the roots common, then , (where [ ⋅ ] denotes the greatest integer function)(R)    2(D)    The sum of values of  satisfying the equation  is(S)    3

CGP EDU Academic Team · Accepted Answer

The correct answer is CHECK THE SOLUTION.. – (P, Q, R, S), – (P, Q), – (S), – (P)
Let

and

From Eqs. (i), (ii) and (iii), we get

is a root of

Also,  satisfies

Given,

∴ Sum of values of 
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	Column I		Column II
(A)	The equation have exactly one root is , then is (where [•] denotes the greatest integer function)	(P)	0
(B)	If , then is (where [ ⋅ ]denotes the greatest integer function)	(Q)	1
(C)	If and have both the roots common, then , (where [ ⋅ ] denotes the greatest integer function)	(R)	2
(D)	The sum of values of satisfying the equation is	(S)	3

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