NEET
Yakeen NEET 2025
Physics
Basic Maths and Calculus
Q1 If sin 𝜃 = 13 , then sec 𝜃 will be (B) Decreases
8 4
(A) 9 (B) 3 (C) Remains constant
(C) 2√32 (D) 34 (D) First decreases then increases
Q2 If velocity v varies with time (t) as v = 2t - 3, then Q6 If tan 𝜃 = √15 and 𝜃 lies in the first quadrant, the
the plot between v and t is best represented by: value of cos 𝜃 is
(A) (A) 5 (B) - 5
6 6
1 1
(C) √6
(D) - 6
√
Q7 Find the value of cos (330º)
(A) tan 60º (B) sin 30º
(C) cos 60º (D) sin 60º
(B)
Q8 If tan 𝜃 = 125 ; then what is the value of 3 sin 𝜃 +
2 cos 𝜃 .
(A) 3 (B) 4
(C) (C) -3 (D) 12
Q9 If sin𝜃 + cos𝜃
sin𝜃 - cos𝜃
7
= 3 then find tan𝜃.
(A) 35 (B) 52
(C) 53 (D) 25
(D) Q10 Find the value of sin (900 + 𝜃)
(A) sin𝜃 (B) -sin𝜃
(C) cos𝜃 (D) -cos𝜃
Q11 Find the value of P
Q3 Find angle subtended by a circular arc of radius
6 cm and length 𝜋 cm at its centre
(A) 60º (B) 15º
(C) 30º (D) 45º
Q4 Find the approximate value of tan 2º
(A) 90𝜋 𝜋
(B) 180 (A) √83 (B) 8
(C) 60𝜋 (D) 30𝜋 (C) √83 (D) 0
Q5 As 𝜃 increases from 0º to 90º, the value of cos 𝜃 Q12 If velocity v varies with time t as v = 𝑡2 then the
(A) Increases plot between v and 𝑡2 will be given as:
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(A) Q20 What is the value of log2 16?
(A) 8 (B) 4
(C) 1/8 (D) 16
(B) Q21 5, 10, 15, 20 ......, 500 find the sum of the series.
(A) 25250 (B) 252500
(C) 2525 (D) 5000
(C)
Q22 y = 2t (3 - t) then find 𝑑𝑦
𝑑𝑡
is:
(A) 6 - 8𝑡 (B) 6 - 4𝑡
(C) 6 + 5𝑡 (D) None of these
(D)
Q23 y = sec x + tan x, value of 𝑑𝑦
𝑑𝑥
is
(A) 𝑠𝑒𝑐2 x + tan x
(B) tan2 x + sec x
(C) sec x (tan x + sec x)
Q13 The slope of straight line √3𝑦 = 3𝑥 + 4 is (D) sec x (1 + sec x)
(A) 3 (B) √3
(C) 13 (D) 13 Q24 𝑑
𝑑𝑥
1
1
+ 𝑥 + log 𝑥 + tan 𝑥 =
√
1
(A) 1 - 𝑥2 + 𝑠𝑒𝑐2 𝑥
Q14 If y = 2 sin2 𝜃 + tan𝜃 then
𝑑𝑦
𝑑𝜃 (B) 1
1 + 2 + 𝑠𝑒𝑐2 𝑥
𝑥
(A) 4 sin𝜃 cos𝜃 + 𝑠𝑒𝑐𝜃 tan𝜃 (C) 1 1
1 + 𝑥2 + 𝑥 + 𝑠𝑒𝑐2 𝑥
(B) 2 sin2𝜃 + 𝑠𝑒𝑐2 𝜃
(D) 1 1
- 𝑥2 + 𝑥 + 𝑠𝑒𝑐2 𝑥
(C) 4 sin𝜃 + 𝑠𝑒𝑐2 𝜃
(D) 2 cos2 𝜃 + 𝑠𝑒𝑐2 𝜃 Q25 The equation √ 𝑥 = 2𝑦, represents that graph
1
between 𝑥 and 𝑦 is a:
Q15 ∫ 2sin 𝑥 + 𝑥 𝑑𝑥 is equal to
(A) Straight line
(A) -2cos 𝑥 + log 𝑥 + 𝑐 (B) Parabola
(B) 2 cos 𝑥 + log 𝑥 + 𝑐
(C) Hyperbola
(C) -2sin 𝑥 - 𝑥12 + 𝑐 (D) Circle
(D) -2cos 𝑥 + 𝑥12 + 𝑐
Q26 Find the value of log√2 2.
Q16 Value of 𝜋/2
∫0 cos 3𝑡 𝑑𝑡 𝑖𝑠: (A) 1 (B) - 12
2 1
(A) 3
(B) -3 (C) 2 (D) None of these
(C) - 23 (D) 1
3
Q27 Find the value of log23 . loglog3 4 . log4 5
5
Q17 ∫ 3𝑥 2 𝑑𝑥 2
(A) 1 (B) 0
(A) 𝑥3 + 𝐶 (B) 6x + C
(C) log2 5 (D) log5 2
(C) 2𝑥2 + 𝐶 (D) 𝑥2 + 𝐶
1 Q28 If 27𝑥 = 39𝑥 , then x is
Q18 ∫0 𝑒𝑥 𝑑𝑥
(A) 0 (B) 12
(A) 𝑒
𝑥
(B) 1
(C) 13 (D) 1
(C) 0 (D) 𝑒 - 1
Q19 ∫0
𝜋/2
sin 𝜃 + cos 𝜃 𝑑𝜃
Q29 If one root of the equation
(A) 1 (B) 0 2
3𝑥 - 10𝑥 + 3 = 0 𝑖𝑠
1
. the other root is
3
(C) 2 (D) -1
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(A) - 13 (B) -3 (A) Zero (B) Positive
(C) 3 (D) 13 (C) Negative (D) Infinite
Q30 If the 5𝑡ℎ term of an A.P. is 9 and 9𝑡ℎ term is 5, Q34 Find the value of 0 .
then which of the following term is unity (A) 0.85 (B) 1
(A) 12𝑡ℎ (B) 13𝑡ℎ (C) 0.90 (D) 0.995
(C) 14𝑡ℎ (D) 15𝑡ℎ
Q35 A circular arc is of length cm. Find angle
𝜋
Q31 In which of the following graph, slope is '+ 4'. subtended by it at the centre in degree.
(A)
(A) 60º (B) 30º
(B) (C) 90º (D) 15º
Q36 𝐹𝑛𝑒𝑡 = 𝐺𝑀𝑚
1
𝑟2
1 1
+ 2𝑟2 + 4𝑟2 + . . . . 𝑢𝑝 𝑡𝑜 ∞
, what is 𝐹𝑛𝑒𝑡
(A) 2𝐺𝑀𝑚
𝑟2
(B) 𝐺𝑀𝑚
𝑟2
𝐺𝑀𝑚 𝐺𝑀
(C) 𝑟 (D) 𝑟2
(C) Q37 When a clock shows 4 o' clock, how much angle
do its minute and hour needles make?
(A) 120º (B) 𝜋3 𝑟𝑎𝑑
(C) 1500 (D) 160º
Q38 The minimum value of 𝑦 = 5𝑥2 - 2𝑥 + 1 is:
(D) (A) 15 (B) 25
(C) 45 (D) 35
5
Q39 The integral ∫1 𝑥 2 dx is equal to:
(A) 125
3
(B) 124
3
(C) 13 (D) 45
Q32 The maximum and minimum values of Q40 If A sin and A cos 𝜃 = 4, then select
𝜃=3
expression 4 - 2 cos 𝜃 respectively are correct alternative.
(A) 4 and 0 (B) 4 and 2 (i) A = 5
(C) 6 and 0 (D) 6 and 2 (ii) A = 7
(iii) 𝜃 = 37 º
Q33 At point P, the value of slope is:
(iv) 𝜃 = 53 º
(A) (i, ii) (B) (ii, iv)
(C) (i, iii) (D) (ii, iii)
Q41 Assertion: By help of di erentiation, if y is given,
we can find dy/dx.
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Reason: By help of integration, if dy/dx is given, (C) If Assertion is true but Reason is false.
we can find the function y. (D) If both Assertion and Reason are false.
(A) If both Assertion and Reason are true and
the Reason is the correct explanation of the Q45 tan
11𝜋
3
is equal to:
Assertion. (A) √3 (B) 13
√
(B) If both Assertion and Reason are true and (C) - 13 (D) -√3
√
the Reason is not a correct explanation of
Q46 The line 4x + 7y = 12 meets x-axis at the point:
the Assertion.
(A) (3, 1) (B) (0, 3)
(C) If Assertion is true but Reason is false.
(C) (3, 0) (D) (4, 0)
(D) If both Assertion and Reason are false.
Q47 The slope of the line joining P (-4, 7) and Q (2, 3)
Q42 Assertion: For a very small angle 𝜃, sin 𝜃 ≃ 𝜃.
is:
Reason: At very small angle, arc subtends a
(A) - 23 (B) 23
right angle at the centre of arc.
(C) - 32 (D) 32
(A) If both Assertion and Reason are true and
the Reason is the correct explanation of the Q48 1 radian is equal to:
Assertion. (A) 100º 𝜋 º
(B) 180
(B) If both Assertion and Reason are true and (C) 180 º (D) 90º
the Reason is not a correct explanation of 𝜋
the Assertion. Q49 sin x +√3 cos x is maximum when
(C) If Assertion is true but Reason is false. (A) x = 30º (B) x = 0º
(D) If both Assertion and Reason are false. (C) x = 45º (D) x = 60º
Q43 Assertion: To convert an angle from degree to Q50 If 𝑦 = 2𝑥2 - 3𝑥 + 1, what is the slope of 𝑦 at 𝑥 = 1
𝜋
radian, we multiply it by180 º
. (A) 0 (B) 1
Reason: The relation between radian and (C) 2 (D) - 1
degree is 𝜋 𝑟𝑎𝑑 = 180 º
(A) If both Assertion and Reason are true and Q51 Which graph is the best representation for the
the Reason is the correct explanation of the given equation, 𝑦 = 2𝑥 - 1 ?
Assertion. (A)
(B) If both Assertion and Reason are true and
the Reason is not a correct explanation of
the Assertion.
(C) If Assertion is true but Reason is false.
(D) If both Assertion and Reason are false.
Q44 Assertion: sin A is the product of sin and A. (B)
Reason: The value of sin𝜃 decreases as 𝜃
increases
(A) If both Assertion and Reason are true and
the Reason is the correct explanation of the
Assertion.
(B) If both Assertion and Reason are true and (C)
the Reason is not a correct explanation of
the Assertion.
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Yakeen NEET 2025
Physics
Basic Maths and Calculus
Q1 If sin 𝜃 = 13 , then sec 𝜃 will be (B) Decreases
8 4
(A) 9 (B) 3 (C) Remains constant
(C) 2√32 (D) 34 (D) First decreases then increases
Q2 If velocity v varies with time (t) as v = 2t - 3, then Q6 If tan 𝜃 = √15 and 𝜃 lies in the first quadrant, the
the plot between v and t is best represented by: value of cos 𝜃 is
(A) (A) 5 (B) - 5
6 6
1 1
(C) √6
(D) - 6
√
Q7 Find the value of cos (330º)
(A) tan 60º (B) sin 30º
(C) cos 60º (D) sin 60º
(B)
Q8 If tan 𝜃 = 125 ; then what is the value of 3 sin 𝜃 +
2 cos 𝜃 .
(A) 3 (B) 4
(C) (C) -3 (D) 12
Q9 If sin𝜃 + cos𝜃
sin𝜃 - cos𝜃
7
= 3 then find tan𝜃.
(A) 35 (B) 52
(C) 53 (D) 25
(D) Q10 Find the value of sin (900 + 𝜃)
(A) sin𝜃 (B) -sin𝜃
(C) cos𝜃 (D) -cos𝜃
Q11 Find the value of P
Q3 Find angle subtended by a circular arc of radius
6 cm and length 𝜋 cm at its centre
(A) 60º (B) 15º
(C) 30º (D) 45º
Q4 Find the approximate value of tan 2º
(A) 90𝜋 𝜋
(B) 180 (A) √83 (B) 8
(C) 60𝜋 (D) 30𝜋 (C) √83 (D) 0
Q5 As 𝜃 increases from 0º to 90º, the value of cos 𝜃 Q12 If velocity v varies with time t as v = 𝑡2 then the
(A) Increases plot between v and 𝑡2 will be given as:
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(A) Q20 What is the value of log2 16?
(A) 8 (B) 4
(C) 1/8 (D) 16
(B) Q21 5, 10, 15, 20 ......, 500 find the sum of the series.
(A) 25250 (B) 252500
(C) 2525 (D) 5000
(C)
Q22 y = 2t (3 - t) then find 𝑑𝑦
𝑑𝑡
is:
(A) 6 - 8𝑡 (B) 6 - 4𝑡
(C) 6 + 5𝑡 (D) None of these
(D)
Q23 y = sec x + tan x, value of 𝑑𝑦
𝑑𝑥
is
(A) 𝑠𝑒𝑐2 x + tan x
(B) tan2 x + sec x
(C) sec x (tan x + sec x)
Q13 The slope of straight line √3𝑦 = 3𝑥 + 4 is (D) sec x (1 + sec x)
(A) 3 (B) √3
(C) 13 (D) 13 Q24 𝑑
𝑑𝑥
1
1
+ 𝑥 + log 𝑥 + tan 𝑥 =
√
1
(A) 1 - 𝑥2 + 𝑠𝑒𝑐2 𝑥
Q14 If y = 2 sin2 𝜃 + tan𝜃 then
𝑑𝑦
𝑑𝜃 (B) 1
1 + 2 + 𝑠𝑒𝑐2 𝑥
𝑥
(A) 4 sin𝜃 cos𝜃 + 𝑠𝑒𝑐𝜃 tan𝜃 (C) 1 1
1 + 𝑥2 + 𝑥 + 𝑠𝑒𝑐2 𝑥
(B) 2 sin2𝜃 + 𝑠𝑒𝑐2 𝜃
(D) 1 1
- 𝑥2 + 𝑥 + 𝑠𝑒𝑐2 𝑥
(C) 4 sin𝜃 + 𝑠𝑒𝑐2 𝜃
(D) 2 cos2 𝜃 + 𝑠𝑒𝑐2 𝜃 Q25 The equation √ 𝑥 = 2𝑦, represents that graph
1
between 𝑥 and 𝑦 is a:
Q15 ∫ 2sin 𝑥 + 𝑥 𝑑𝑥 is equal to
(A) Straight line
(A) -2cos 𝑥 + log 𝑥 + 𝑐 (B) Parabola
(B) 2 cos 𝑥 + log 𝑥 + 𝑐
(C) Hyperbola
(C) -2sin 𝑥 - 𝑥12 + 𝑐 (D) Circle
(D) -2cos 𝑥 + 𝑥12 + 𝑐
Q26 Find the value of log√2 2.
Q16 Value of 𝜋/2
∫0 cos 3𝑡 𝑑𝑡 𝑖𝑠: (A) 1 (B) - 12
2 1
(A) 3
(B) -3 (C) 2 (D) None of these
(C) - 23 (D) 1
3
Q27 Find the value of log23 . loglog3 4 . log4 5
5
Q17 ∫ 3𝑥 2 𝑑𝑥 2
(A) 1 (B) 0
(A) 𝑥3 + 𝐶 (B) 6x + C
(C) log2 5 (D) log5 2
(C) 2𝑥2 + 𝐶 (D) 𝑥2 + 𝐶
1 Q28 If 27𝑥 = 39𝑥 , then x is
Q18 ∫0 𝑒𝑥 𝑑𝑥
(A) 0 (B) 12
(A) 𝑒
𝑥
(B) 1
(C) 13 (D) 1
(C) 0 (D) 𝑒 - 1
Q19 ∫0
𝜋/2
sin 𝜃 + cos 𝜃 𝑑𝜃
Q29 If one root of the equation
(A) 1 (B) 0 2
3𝑥 - 10𝑥 + 3 = 0 𝑖𝑠
1
. the other root is
3
(C) 2 (D) -1
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(A) - 13 (B) -3 (A) Zero (B) Positive
(C) 3 (D) 13 (C) Negative (D) Infinite
Q30 If the 5𝑡ℎ term of an A.P. is 9 and 9𝑡ℎ term is 5, Q34 Find the value of 0 .
then which of the following term is unity (A) 0.85 (B) 1
(A) 12𝑡ℎ (B) 13𝑡ℎ (C) 0.90 (D) 0.995
(C) 14𝑡ℎ (D) 15𝑡ℎ
Q35 A circular arc is of length cm. Find angle
𝜋
Q31 In which of the following graph, slope is '+ 4'. subtended by it at the centre in degree.
(A)
(A) 60º (B) 30º
(B) (C) 90º (D) 15º
Q36 𝐹𝑛𝑒𝑡 = 𝐺𝑀𝑚
1
𝑟2
1 1
+ 2𝑟2 + 4𝑟2 + . . . . 𝑢𝑝 𝑡𝑜 ∞
, what is 𝐹𝑛𝑒𝑡
(A) 2𝐺𝑀𝑚
𝑟2
(B) 𝐺𝑀𝑚
𝑟2
𝐺𝑀𝑚 𝐺𝑀
(C) 𝑟 (D) 𝑟2
(C) Q37 When a clock shows 4 o' clock, how much angle
do its minute and hour needles make?
(A) 120º (B) 𝜋3 𝑟𝑎𝑑
(C) 1500 (D) 160º
Q38 The minimum value of 𝑦 = 5𝑥2 - 2𝑥 + 1 is:
(D) (A) 15 (B) 25
(C) 45 (D) 35
5
Q39 The integral ∫1 𝑥 2 dx is equal to:
(A) 125
3
(B) 124
3
(C) 13 (D) 45
Q32 The maximum and minimum values of Q40 If A sin and A cos 𝜃 = 4, then select
𝜃=3
expression 4 - 2 cos 𝜃 respectively are correct alternative.
(A) 4 and 0 (B) 4 and 2 (i) A = 5
(C) 6 and 0 (D) 6 and 2 (ii) A = 7
(iii) 𝜃 = 37 º
Q33 At point P, the value of slope is:
(iv) 𝜃 = 53 º
(A) (i, ii) (B) (ii, iv)
(C) (i, iii) (D) (ii, iii)
Q41 Assertion: By help of di erentiation, if y is given,
we can find dy/dx.
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Reason: By help of integration, if dy/dx is given, (C) If Assertion is true but Reason is false.
we can find the function y. (D) If both Assertion and Reason are false.
(A) If both Assertion and Reason are true and
the Reason is the correct explanation of the Q45 tan
11𝜋
3
is equal to:
Assertion. (A) √3 (B) 13
√
(B) If both Assertion and Reason are true and (C) - 13 (D) -√3
√
the Reason is not a correct explanation of
Q46 The line 4x + 7y = 12 meets x-axis at the point:
the Assertion.
(A) (3, 1) (B) (0, 3)
(C) If Assertion is true but Reason is false.
(C) (3, 0) (D) (4, 0)
(D) If both Assertion and Reason are false.
Q47 The slope of the line joining P (-4, 7) and Q (2, 3)
Q42 Assertion: For a very small angle 𝜃, sin 𝜃 ≃ 𝜃.
is:
Reason: At very small angle, arc subtends a
(A) - 23 (B) 23
right angle at the centre of arc.
(C) - 32 (D) 32
(A) If both Assertion and Reason are true and
the Reason is the correct explanation of the Q48 1 radian is equal to:
Assertion. (A) 100º 𝜋 º
(B) 180
(B) If both Assertion and Reason are true and (C) 180 º (D) 90º
the Reason is not a correct explanation of 𝜋
the Assertion. Q49 sin x +√3 cos x is maximum when
(C) If Assertion is true but Reason is false. (A) x = 30º (B) x = 0º
(D) If both Assertion and Reason are false. (C) x = 45º (D) x = 60º
Q43 Assertion: To convert an angle from degree to Q50 If 𝑦 = 2𝑥2 - 3𝑥 + 1, what is the slope of 𝑦 at 𝑥 = 1
𝜋
radian, we multiply it by180 º
. (A) 0 (B) 1
Reason: The relation between radian and (C) 2 (D) - 1
degree is 𝜋 𝑟𝑎𝑑 = 180 º
(A) If both Assertion and Reason are true and Q51 Which graph is the best representation for the
the Reason is the correct explanation of the given equation, 𝑦 = 2𝑥 - 1 ?
Assertion. (A)
(B) If both Assertion and Reason are true and
the Reason is not a correct explanation of
the Assertion.
(C) If Assertion is true but Reason is false.
(D) If both Assertion and Reason are false.
Q44 Assertion: sin A is the product of sin and A. (B)
Reason: The value of sin𝜃 decreases as 𝜃
increases
(A) If both Assertion and Reason are true and
the Reason is the correct explanation of the
Assertion.
(B) If both Assertion and Reason are true and (C)
the Reason is not a correct explanation of
the Assertion.
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