JEE Main & Advanced Practice Test- 26 Free Online Test 2026
MCQ Practice Test & Solutions: JEE Main Practice Test- 26 (90 Questions)
You can prepare effectively for JEE JEE Main & Advanced Mock Test Series 2026 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "JEE Main Practice Test- 26". These 90 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: 180 minutes
- - Number of Questions: 90
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= 8 isDetailed Solution: Question 1
x=7 touches the circle x2 + y2 - 4x - 6y - 12 = 0, then the co-ordinates of the point of contact are
If ω is a cube root of unity ,then
(1 - ω + ω2)5 + (1 + ω - ω2) is equal to
(1 - ω + ω2)5 + (1 + ω - ω2) is equal to
The solution of the differential equation cos x sin y dx + sin x cos y dy =0 is
The value of f(0) so that f (x) 
is continuous at x = 0 is
is continuous at x = 0 isIf m and n are integers, then what is the value of 
sin m x sin n x d x . If m ≠ n
sin m x sin n x d x . If m ≠ nDetailed Solution: Question 8
sin mx . sin nx dx = 0Tangents are drawn from a point P(3,4) to the ellipse (x2/9) + (y2/16) = 1 touching the ellipse in the points Q and R. The angle between PQ and PR is
Which statement is logically equivalent to "If Yoda cannot use a lightsaber, then he cannot help Luke win the battle."
Detailed Solution: Question 12
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): Let f(x) and g(x) be two polynomials all of whose coefficients are rational numbers . Suppose f(x) and g(x) have a common irrational root, then g(x) = r f(x) for some rational number.
Reason(R): The common root of the equations ax2 + bx + c = 0 and a'x2 + b'x + c' = 0 is 
Assertion(A): Let f(x) and g(x) be two polynomials all of whose coefficients are rational numbers . Suppose f(x) and g(x) have a common irrational root, then g(x) = r f(x) for some rational number.
Reason(R): The common root of the equations ax2 + bx + c = 0 and a'x2 + b'x + c' = 0 is
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): 
Reason(R): 
Assertion(A):
Reason(R):
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): y = 0 is the singular solution of the equation 9yp2 + 4 = 0.
Reason(R): y = 0 occurs both in the p-discriminant , and c-discriminant obtained from the general solution y3 + (x+c)2 = 0 of the equation 9yp2 + 4 = 0.
If each element of a 3 x 3 matrix is multiplie by 3, then the determinant of the newly formed matrix is
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A):α1,α2,α3,α4 are roots of 2x4 - 2x3 + 9x2 - x + 12 = 0, then the value of 
is 21.
Reason(R): 2(x-α1) (x-α2)(x-α3) x (x-α4) = 2x4 - 2x3 + 3x2 - x + 12. Put x = 3 i on both sides and take modulus of both sides 
Assertion(A):α1,α2,α3,α4 are roots of 2x4 - 2x3 + 9x2 - x + 12 = 0, then the value of
is 21.Reason(R): 2(x-α1) (x-α2)(x-α3) x (x-α4) = 2x4 - 2x3 + 3x2 - x + 12. Put x = 3 i on both sides and take modulus of both sides
The line 4x + 6y + 9 = 0 touches the parabola y2 = 4 x at the point
If the sum of series 2 + 5 + 8 + .... upto n terms is 60100, then n
A bag contains 5 brown and 4 white socks. A man pulls out two socks. The probability that they are of the same colour is
If A = [(x,y) : x2 + y2 = 25] and B = [(x,y) : x2 + 9y2 = 144] and A ∩ B contains
A random variable X has the following distribution
x 1 2 3 4
P ( X = x) c 2c 3c 4c
The value of c is
x 1 2 3 4
P ( X = x) c 2c 3c 4c
The value of c is
The plane XOZ divides the join of (1,-1,5) and (2,3,4) in the ratio λ:1,then λ is
Detailed Solution: Question 27
If sin θ₁ + sin θ₂ + sin θ₃=3, then cosθ₁ + cosθ₂ + cos θ₃
The angle between the vectors
î - ĵ + k̂ and î + 2ĵ + k̂ is
î - ĵ + k̂ and î + 2ĵ + k̂ is
are non− coplanar, then the sum 
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