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JEE Main Maths Test- 2 Free Online Test 2026


MCQ Practice Test & Solutions: JEE Main Maths Test- 2 (25 Questions)

You can prepare effectively for JEE Mock Tests for JEE Main and Advanced 2026 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "JEE Main Maths Test- 2". These 25 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 60 minutes
  • - Number of Questions: 25

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JEE Main Maths Test- 2 - Question 1

Mid-points of the sides AB and AC of a  are (3,5) and (–3,–3) respectively, then the length of the side BC is

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JEE Main Maths Test- 2 - Question 2

The co-ordinates of the middle points of the sides of a triangle are (4,2),(3,3) and (2,2), then the coordinates of its centroid are

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JEE Main Maths Test- 2 - Question 3

If a and b are real numbers between 0 and 1 such that the points (a,1),(1,b) and (0,0) form an equilateral triangle, then a, b are

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JEE Main Maths Test- 2 - Question 4

The straight lines  form a triangle which is

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JEE Main Maths Test- 2 - Question 5

The straight lines joining the origin to the points of intersection of the line  with the circle   are

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JEE Main Maths Test- 2 - Question 6

The area of circle centred at (1,2) and passing through (4,6) is

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JEE Main Maths Test- 2 - Question 7

The equation  represents

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JEE Main Maths Test- 2 - Question 8

A diameter of  is a chord to circle centre (2,1), then radius of the circle is

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JEE Main Maths Test- 2 - Question 9

In the parabola , the length of the chord passing through the vertex and inclined to the axis at an angle   is

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JEE Main Maths Test- 2 - Question 10

The angle made by a double ordinate of length 8a at the vertex of the parabola  is

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JEE Main Maths Test- 2 - Question 11

The straight line   touches the parabola  at the point

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JEE Main Maths Test- 2 - Question 12

The line y = mx + 1 is a tangent to the parabola y2 = 4ax, if

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JEE Main Maths Test- 2 - Question 13

If   and  , then   equals  

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JEE Main Maths Test- 2 - Question 14

An ellipse has OB as a semi minor axis. F,F` are its foci, and the angle FBF` is a right angle. Then the eccentricity of the ellipse is

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JEE Main Maths Test- 2 - Question 15

If the straight line  is a tangent to the ellipse , then c will be equal to

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JEE Main Maths Test- 2 - Question 16

The eccentricity of the hyperbola with latus rectum 12 and semi-conjugate axis , is

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JEE Main Maths Test- 2 - Question 17

If  be the eccentricity of rectangular hyperbola  then the value of e(1)–e(6) is

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JEE Main Maths Test- 2 - Question 18

If e and e` be the eccentricities of two conics S and S` such that  then both S and S` are

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JEE Main Maths Test- 2 - Question 19

If the line  is normal to xy=1, then

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JEE Main Maths Test- 2 - Question 20

tan5x–tan 3x–tan2x =

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JEE Main Maths Test- 2 - Question 21

The value of is:-


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JEE Main Maths Test- 2 - Question 22

Find number of surjection from A to B where
A= {1, 2, 3, 4}, B = {a, b}:


Detailed Solution: Question 22

The number of surjective functions from set A to set B can be calculated using the inclusion-exclusion principle. The formula for surjections is:

\\( \\sum_{i=0}^{k} (-1)^{i} \\binom{k}{i} (k - i)^n \\)

For sets A and B where |A| = 4 and |B| = 2, we have:

  • n = 4
  • k = 2

Plugging these values into the formula:

  • For i = 0: \\((-1)^{0} \\binom{2}{0} (2 - 0)^{4} = 16\\)
  • For i = 1: \\((-1)^{1} \\binom{2}{1} (2 - 1)^{4} = -2\\)

Summing these results:

  • 16 - 2 = 14

Therefore, there are 14 surjective functions from A to B.

*Answer can only contain numeric values
JEE Main Maths Test- 2 - Question 23

Sum of all the solution of equation sinπx + cosπx= 0 in x ∈ [0, 100]


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JEE Main Maths Test- 2 - Question 24

If a,b,c are in A.P. and one root of ax2 + bx + c = 0 is 2 then other root is?


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JEE Main Maths Test- 2 - Question 25

If the line y = 3x + λ touches the hyperbola 9x2 – 5y2 = 45, then the value of λ is


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