JLEE 2020
MATHEMATICS (SECTION - I)
Answer Key
2. A stone thrown upwards, has its equation of motion is S = (490) t – (4.9) t2, the maximum height is reached:
a) 12250 units
b) 1250 units
c) 2250 units
d) 1225 units
3. The value of ʃ(1/√1 – 4x2) dx
a) sin-1 (2x) + K
b) (1/2) sin-1 (2x) + K
c) sin-1 (4x) + K
d) (1/2) sin-1 (4x) + K
4. The value of ʃ(2x/1+x2)dx
a) log 2
b) log 2 + log 3
c) log 2 – log 3
d) log 2 – log 5
5. The area enclosed between the curves y = x2, y = 2x:
a) 2/3 square units
b) 1/3 square units
c) 3/2 square units
d) 4/3 square units
6. A+B = π/4 then (tan A + 1) (tan B + 1) is equal to
a) 1
b) 2
c) 0
d) 3
7. Find the value of tan 9ο – tan 27ο – tan 67ο + tan 81ο is
a) 2
b) 6
c) 4
d) 8
8. The value of sin 75ο + cos 75ο
a) √3/2
b) √(3/2)
c) 1/(√2)
d) 1/2
9. The area of the circle x2 + y2 = a2 is:
a) πab
b) πa
c) π
d) πa2
10. The Simpson’s approximate value of 31ʃ1/x dx by taking n = 4:
a) 1.0665
b) 1.0885
c) 1.0995
d) 1.0775
11. The volume of the solid obtained by revolving the ellipse x2/a2+y2/b2=1 about the x-axis:
a) (4Ï€/3)ab2
b) (4Ï€/3)ab
c) (4Ï€/3)a2b2
d) none of these
12. The modulus and amplitude of (tan α – i)
a) |z| = tanα amp z = π/2
b) |z| = sec α amp z = α - π/2
c) |z| = cosα amp z = α + π/2
d) |z| = tanα amp z = α + π/2
13. If the three numbers x + 9, x – 6, 4 are the first three elements of a GP, the value of x:
a) x =0 or x = 4
b) x = 0 or x = 12
c) x =0 or x = 8
d) x =0 or x= 16
14. The equation x4 – 14x3 + 73x2 -168x +144 = 0 has two pairs of equal roots they are:
a) x =4, 4, 3, 3
b) x =2, 2, 3, 3
c) x = 3, 3, 5, 5
d) x = 1, 1, 2, 2
15. A football team of 11 players is selected from 15 players. How many of these will exclude one particular player.
a) 1001
b) 364
c) 728
d) 264
16. The area of triangle formed by the co- ordinate axes and the line xcosα + ysinα = p
a) p2/|cos (2 α)| square units
b) p2 square units
c) p2/|sin (2 α)| square units
d) p2/|tan (2 α)| square units
17. The equation of straight line whose distance from origin is 4 and normal from the origin to the straight line makes an angle 135ο with the X axis is positive
a) x- y + 4 √2 = 0
b) x- y - 4 √2 = 0
c) x-y = 0
d) x+ y = 0
18. The equation of the circle which is concentric with x2 + y2 - 6x – 4y - 12 = 0 and passing through (-2,14)
a) x2 + y2 - 6x – 4y - 156 = 0
b) x2 + y2 – 4y - 156 = 0
c) x2 + y2 - 6x – 156 = 0
d) x2 + y2 - 156 = 0
a) x2 + y2 + 16 = 0
b) x2 + y2 + 6x + 16 = 0
c) x2 + y2 - 6x – 8y + 16 = 0
d) x2 + y2 + 6x – 8y + 16 = 0
a) x2/16 + y2/16 =1
b) x2/36 + y2/9 =1
c) x2/25 + y2/16 =1
d) x2/9 + y2/36 =1
21. Inverse function of f (x) = 3x – 2 is:
a) x/3
b) (x-2)/3
c) (x-3) / 3
d) (x+2)/3
22. The value of Ltx→∞e-x2:
a) 0
b) ∞
c) 1
d) – 1
23. The value of Ltn→∞(12+22+32+………..+n2)/n3
a) 1
b) ½
c) 1/3
d) ¼
24. The function f(x) = |x| / x at x = 0 is:
a) Left continuous
b) Right continuous
c) Continuous
d) Discontinuous
25. If ex+y = xy then derivative is:
a) (xy – y)/(x – xy)
b) (x – y)/(x + y)
c) (x + y)/(x - y)
d) (x – xy)/(xy - y)
26. Middle term in the expansion of (x/2 + y/3)10
a) 10C5 (xy/6)3
b) 10C5 (xy/6)5
c) 10C6 (xy/6)3
d) 10C6 (xy/6)6
27. The value of log3√2 5832:
a) 9
b) 3
c) 12
d) 6
28. The value of the determinant is
a) (a-b) (b-c)(c-a)
b) - (a+b) (b+c)(c+ a)
c) - (a-b) (b-c)(c-a)
d) (a+b) (b+c)(c+ a)
29. The value of cos Ï€/3 – sin Ï€/6 - cot2 Ï€/4
a) 0
b)1
c) -1
d) None of these
30. If sin θ = 3/5 and θ is acute the value of 2 tan θ + 4 sec θ + 3 sec θ cosec θ is
a) 183/14
b) 163/12
c) 12/163
d) 14/183
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