WBJEE-JENPAS-UG SERIES Mathematics
Types Of Differential Equations
22 previous year questions.
Volume: 22 Ques
Yield: High
High-Yield Trend
2
2026 11
2023 9
2022 Chapter Questions 22 MCQs
01
PYQ 2022
hard
mathematics ID: wbjee-je
The inner and outer radius of a ring-shaped iron sheet of thickness 1 cm is 8 cm and 10 cm respectively. When it is melted to make a solid iron ball, its diameter will be 1 cm
1
3 cm
2
6 cm
3
12 cm
4
18 cm
02
PYQ 2022
easy
mathematics ID: wbjee-je
If three times of a number is, 3 less than three times of its square, then the number will be
1
2
3
4
03
PYQ 2022
medium
mathematics ID: wbjee-je
ABCD is a square whose diagonal AC is 4√2 cm. Then the circumference of its inscribed circle is
1
12 cm
2
12.57 cm
3
12.75 cm
4
13 cm
04
PYQ 2022
medium
mathematics ID: wbjee-je
If a ∞ b and b ∞o c, then which of the following is/are correct?
1
a3+b3+c3 ∞ ab
2
a2+ b2∞ ab
3
a + b ∞ ab
4
05
PYQ 2022
medium
mathematics ID: wbjee-je
Which of the following is/are correct?
1
1°<1°
2
1°=1°
3
3750" 1°2′ 30′′
4
06
PYQ 2022
medium
mathematics ID: wbjee-je
If 0<θ≤90°, then the minimum value of 4cot2θ +9 tan2 θ is
1
0
2
12
3
-12
4
13
07
PYQ 2022
medium
mathematics ID: wbjee-je
If sin θ= , then tan θ+secθ =
1
/div>
2
3
/div>
4
/div>
08
PYQ 2022
medium
mathematics ID: wbjee-je
log4 log3, log2 x = 1, then x =
1
2
3
4
09
PYQ 2022
medium
mathematics ID: wbjee-je
If a2 + b2 = 14ab, then log ( )=
1
(log a+ log b)
2
log (a)+ log (b)
3
log
4
log
10
PYQ 2023
hard
mathematics ID: wbjee-je
If , where p, q are integers and q ≠ 0, then = ?
1
2
3
4
11
PYQ 2023
medium
mathematics ID: wbjee-je
If and , , then
1
1:2:3
2
3:-2:9
3
4:-10:9
4
4:2:9
12
PYQ 2023
medium
mathematics ID: wbjee-je
A tower stands vertically on the ground and on the same ground there is a house of height 10 m and the distance between the house and the tower is 15 m. If the angle of elevation of the top of the tower is found to be 45° from the roof of the house, then what is the height of the tower ?
1
10 m
2
15 m
3
20 m
4
25 m
13
PYQ 2023
medium
mathematics ID: wbjee-je
If x4+y4=18x2y2, then which of the following is/are correct?
1
log(x²+y²) = 2 log 2 + logx + logy
2
log(x²-y²) = 2 log 2 + logx + logy
3
4
14
PYQ 2023
medium
mathematics ID: wbjee-je
Consider two triangles △ABC and △DEF, where . Then which is correct?
1
∆АВС ~ ∆DEF
2
∆ABC~ ∆EDF
3
∆ABC~ ∆EFD
4
∆ABC ~ ∆DFE
15
PYQ 2023
medium
mathematics ID: wbjee-je
If tan then cos² A-sin² A = ?
1
2
3
4
16
PYQ 2023
medium
mathematics ID: wbjee-je
The value of is
1
0
2
1
3
-1
4
None of these
17
PYQ 2023
medium
mathematics ID: wbjee-je
If , then
1
sec² A
2
sec² B
3
4
18
PYQ 2023
medium
mathematics ID: wbjee-je
If , a, b, c ≠ 0, then their equivalent ratio is / are
1
2
3
x if x=y
4
-y if x=y
19
PYQ 2023
medium
mathematics ID: wbjee-je
If θ+Φ=90°,θ-Φ=30°,then sin θ+sin Φ=
1
sin θ+cos θ
2
sin Φ+cos Φ
3
sin θ+cos Φ
4
cos θ+cos Φ
20
PYQ 2023
medium
mathematics ID: wbjee-je
1
1
2
8
3
4
21
PYQ 2026
medium
mathematics ID: wbjee-je
The population of a certain mouse species follows
If , then the time at which population becomes zero is:}
1
2
3
4
22
PYQ 2026
medium
mathematics ID: wbjee-je
If
then is equal to:
1
2
3
4
About Types Of Differential Equations - WBJEE-JENPAS-UG
Types Of Differential Equations is a vital chapter for WBJEE-JENPAS-UG aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Types Of Differential Equations PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Types Of Differential Equations carry the most weight. Then, tackle the questions iteratively to solidify your understanding.