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JEE Advanced 2020 Full Test 6 Paper 1

This section contains SIX questions of matching type. The section contains TWO tables (each having 3 columns and 4 rows). Based on each table, there are THREE questions. Each question has FOUR options (A),(B),(C), and (D). ONL Y ONE of these four options is correct.

Answer questions Q. 44, Q. 45 and Q. 46 by appropriately matching the information given in the three columns of the following table.

Let f(x)=‌

(x−a)(x−b)

(x−c)(x−d)

where a<b<c<d. Column-1: contains information about real roots of the equation; Column-2: contains information about limit of f(x); column-3: contains information about increasing interval and decreasing interval of f(x) and f′(x) and information about local minimum value and local maximum value of f(x)

Column 1

Column 2

Column 3

(I)

f(x)=1 has exactly one real root

(i)

lim

x→c−

f(x)=−∞

(P)

f(x) is increasing in the interval (b,c)

(II)

f(x)=2 has exactly two real root

(ii)

lim

x→d+

f(x)=∞

(Q)

f(x) is decreasing in the interval (d,∞)

(III)

f(x)=−10 has one real root

(iii)

lim

x→d−

f(x)=−∞

(R)

f′(x) is increasing in the interval (b,c)

(IV)

f(x)=10 has two realroots

(iv)

lim

x→∞

f(x)=1

(S)

Local minimum value of f(x) is smaller than local maximum value of f(x)

Question : 45

Total: 54

Which of the following is the only INCORRECT combination?

(II) (ii) (P)
(III) (i) (R)
(IV) (iv) (P)
(V) (iii) (Q)

Validate

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