Question:
Match List I with List II and select the correct answer using the code given below the lists.
List I
(A) f(x)=cos x
(B) f(x)=ln x
(C) f(x)=x²-5x+4
(D) f(x)=eˣ
List II
1. The graph cuts y-axis in infinite number of points
2. The graph cuts x-axis in two points
3. The graph cuts y-axis in only one point
4. The graph cuts x-axis in only one point
5. The graph cuts x-axis in infinite number of points
% Codes
(A)(a)1453
(b)1354
(c)5423
(d)5324
Match List I with List II and select the correct answer using the code given below the lists.
List I
(A) f(x)=cos x
(B) f(x)=ln x
(C) f(x)=x²-5x+4
(D) f(x)=eˣ List II
1. The graph cuts y-axis in infinite number of points
2. The graph cuts x-axis in two points
3. The graph cuts y-axis in only one point
4. The graph cuts x-axis in only one point
5. The graph cuts x-axis in infinite number of points % Codes (A)(a)1453 (b)1354 (c)5423 (d)5324
(A) f(x)=cos x
(B) f(x)=ln x
(C) f(x)=x²-5x+4
(D) f(x)=eˣ List II
1. The graph cuts y-axis in infinite number of points
2. The graph cuts x-axis in two points
3. The graph cuts y-axis in only one point
4. The graph cuts x-axis in only one point
5. The graph cuts x-axis in infinite number of points % Codes (A)(a)1453 (b)1354 (c)5423 (d)5324
Show Hint
Recall intercept behavior of standard elementary functions.
Updated On: Mar 20, 2026
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: cos x cuts x-axis infinitely many times ⟹ 5.
Step 2: ln x cuts x-axis once (x=1)⟹ 4.
Step 3: Quadratic x²-5x+4 cuts x-axis at two points ⟹ 2.
Step 4: eˣ cuts y-axis once ⟹ 3.
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