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JEE MAINS 2020 TEST Episode -1
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#Let’s KILL JEEE
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Q1. The sum to the infinity of the series
A
B
2
3
D
C
6
4
JEE MAIN LIVE TEST - Episode 1
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Q1. The sum to the infinity of the series
A B2 3 DC 64
Solution:
![Page 13: JEE MAINS 2020 TEST Episode -1€¦ · JEE MAIN LIVE TEST - Episode 1. Q8. The equation of the straight line, which pass through the point (1, 2) and trisect the intercept of line](https://reader034.vdocuments.net/reader034/viewer/2022042213/5eb6640aa269185cb1472b36/html5/thumbnails/13.jpg)
Q2. The value of is equal to
A
B
D
C
JEE MAIN LIVE TEST - Episode 1
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Q2. The value of is equal to
A B DC
Solution:
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Q3. Let A, B, and C are the angles of a plain triangle and Then is equal to
A
B
D
C
JEE MAIN LIVE TEST - Episode 1
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Q3.. Let A, B, and C are the angles of a plain triangle and Then is equal to
A B DC
Solution:
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Q4. The circle x2 + y2 = 4x + 8y + 5 intersects the line 3x – 4y = m at two distinct points if
A
B
–35 < m < 15
15 < m < 65
D
C
–85 < m < –35
35 < m < 85
JEE MAIN LIVE TEST - Episode 1
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Q4. The circle x2 + y2 = 4x + 8y + 5 intersects the line 3x – 4y = m at two distinct points if
A B–35 < m < 15 15 < m < 65 DC –85 < m < –3535 < m < 85
Solution:
![Page 19: JEE MAINS 2020 TEST Episode -1€¦ · JEE MAIN LIVE TEST - Episode 1. Q8. The equation of the straight line, which pass through the point (1, 2) and trisect the intercept of line](https://reader034.vdocuments.net/reader034/viewer/2022042213/5eb6640aa269185cb1472b36/html5/thumbnails/19.jpg)
A
B
D
C
Q5. If the normal to the curve at the point (3, 4) makes an angle with the positive X-axis, then f’(3) =
JEE MAIN LIVE TEST - Episode 1
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A B DCSolution:
∴ slope of the normal
According to the given condition, the slope of the normal =
Q5. If the normal to the curve at the point (3, 4) makes an angle with the positive X-axis, then f’(3) =
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#Let’s KILL JEEE
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A
B
D
C
Q6. If z satisfies the condition |z2 – 4| = 2|z|, then the greatest value of |z| is
JEE MAIN LIVE TEST - Episode 1
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A B DC
Q6. If z satisfies the condition |z2 – 4| = 2|z|, then the greatest value of |z| is
Solution:
![Page 27: JEE MAINS 2020 TEST Episode -1€¦ · JEE MAIN LIVE TEST - Episode 1. Q8. The equation of the straight line, which pass through the point (1, 2) and trisect the intercept of line](https://reader034.vdocuments.net/reader034/viewer/2022042213/5eb6640aa269185cb1472b36/html5/thumbnails/27.jpg)
Q7. Consider the system of linear equations: x1 + 2x2 + x3 = 3 2x1 + 3x2 + x3 = 3 3x1 + 5x2 + 2x3 = 1 The system has
A
B
exactly 3 solutions
a unique solution
D
C
infinite number of solutions
no solution
JEE MAIN LIVE TEST - Episode 1
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Q7. Consider the system of linear equations: x1 + 2x2 + x3 = 3 2x1 + 3x2 + x3 = 3 3x1 + 5x2 + 2x3 = 1 The system has
A Bexactly 3 solutions a unique solution
DC infinite number of solutionsno solution
Solution:
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Q8. The equation of the straight line, which pass through the point (1, 2) and trisect the intercept of line 2x + 5y = 40, between axes, is
A
B
16x + 17y + 24 = 0D
C
17x – 10y – 24 = 0
10x – 17y + 24 = 0
17x + 10y + 24 = 0
JEE MAIN LIVE TEST - Episode 1
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Q8. The equation of the straight line, which pass through the point (1, 2) and trisect the intercept of line 2x + 5y = 40, between axes, is
A B
16x + 17y + 24 = 0DC
17x – 10y – 24 = 0 10x – 17y + 24 = 0
17x + 10y + 24 = 0
Solution:
![Page 31: JEE MAINS 2020 TEST Episode -1€¦ · JEE MAIN LIVE TEST - Episode 1. Q8. The equation of the straight line, which pass through the point (1, 2) and trisect the intercept of line](https://reader034.vdocuments.net/reader034/viewer/2022042213/5eb6640aa269185cb1472b36/html5/thumbnails/31.jpg)
Q9. is equal to
A
B
D
C
JEE MAIN LIVE TEST - Episode 1
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Q9. is equal to
A B DC
Solution:
![Page 33: JEE MAINS 2020 TEST Episode -1€¦ · JEE MAIN LIVE TEST - Episode 1. Q8. The equation of the straight line, which pass through the point (1, 2) and trisect the intercept of line](https://reader034.vdocuments.net/reader034/viewer/2022042213/5eb6640aa269185cb1472b36/html5/thumbnails/33.jpg)
Q10. The focal chord of y2 = 16x is tangent to (x – 2)2 + y2 = 1, then the possible values of the slope of this chord are
A
B
D
C
JEE MAIN LIVE TEST - Episode 1
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Q10. The focal chord of y2 = 16x is tangent to (x – 2)2 + y2 = 1, then the possible values of the slope of this chord are
A B DC
Solution:
![Page 35: JEE MAINS 2020 TEST Episode -1€¦ · JEE MAIN LIVE TEST - Episode 1. Q8. The equation of the straight line, which pass through the point (1, 2) and trisect the intercept of line](https://reader034.vdocuments.net/reader034/viewer/2022042213/5eb6640aa269185cb1472b36/html5/thumbnails/35.jpg)
#Let’s KILL JEEE
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Q11. If then the magnitude of the projection of
JEE MAIN LIVE TEST - Episode 1
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Thank You
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Q11. If then the magnitude of the projection of
Solution: