jee mains 2020 test episode -1€¦ · jee main live test - episode 1. q8. the equation of the...

JEE MAINS 2020 TEST Episode -1

JEE MAIN APRIL 2020 Super Revision PLAN

JEE MAIN APRIL 2020 Super Revision PLAN

Trigonometry

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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

Q1. The sum to the infinity of the series

A B2 3 DC 64

Solution:

Q2. The value of is equal to

A

B

D

C


Q2. The value of is equal to

A B DC

Solution:

Q3. Let A, B, and C are the angles of a plain triangle and Then is equal to

A

B

D

C


Q3.. Let A, B, and C are the angles of a plain triangle and Then is equal to

A B DC

Solution:

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


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:

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) =


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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A

B

D

C

Q6. If z satisfies the condition |z2 – 4| = 2|z|, then the greatest value of |z| is


A B DC

Q6. If z satisfies the condition |z2 – 4| = 2|z|, then the greatest value of |z| is

Solution:

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


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:

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


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:

Q9. is equal to

A

B

D

C


Q9. is equal to

A B DC

Solution:

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


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:

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Q11. If then the magnitude of the projection of


Thank You

Q11. If then the magnitude of the projection of

Solution:

jee mains 2020 test episode -1€¦ · jee main live test - episode 1. q8. the equation of the...

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