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Total Questions: 75
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⚡ JEE-MAIN 2026 (2nd April 2026 Shift 1) Catalog
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#1
Let α, α+2, α ∈ Z, be the roots of the quadratic...Solve ➔
#2
Let x and y be real numbers such that 50((2x)/(1+3i) - (y)/(1-2i))...Solve ➔
#3
Let α, β ∈ R be such that the system of linear...🥷 NinjaSolve ➔
#4
Let A= [1 2; 1 alpha] and B= [3 3; beta 2]....Solve ➔
#5
Let A be the set of first 101 terms of an A.P.,...Solve ➔
#6
The number of seven-digit numbers, that can be formed by using the...Solve ➔
#7
The number of elements in the set S = { (r, k)...Solve ➔
#8
If the mean of the data Class 5-10 10-15 15-20 20-25 25-30...Solve ➔
#9
Let the mid points of the sides of a triangle ABC be...Solve ➔
#10
Let an ellipse x^2/a^2 + y^2/b^2 = 1, a < b, pass...Solve ➔
#11
If sin (π/18) . sin (5π/18) . sin (7π/18) = K, then...Solve ➔
#12
Let S = {x ∈ [-π, π] : sin x (sin x...Solve ➔
#13
If the point of intersection of the lines (x+1)/3 = (y+a)/5 =...Solve ➔
#14
If a and b are two vectors such that |a| = 2...🥷 NinjaSolve ➔
#15
Let a line L passing through the point (1, 1, 1) be...Solve ➔
#16
If lim x->2 sin(x^3 - 5x^2 + ax + b) / ((sqrt(x-1)...Solve ➔
#17
If the curve y=f(x) passes through the point (1, e) and satisfies...Solve ➔
#18
The number of critical points of the function f(x) = { |sin...Solve ➔
#19
Let [.] denote the greatest integer function. Then the value of integral...Solve ➔
#20
Let y=y(x) be the solution curve of the differential equation (1+sin x)...Solve ➔
#21
If the domain of the function f(x) = sqrt(log_0.6(|(2x-5)/(x^2-4)|)) is (-infinity, a]...Solve ➔
#22
If sum_k=1^n a_k = 6n^3, then sum_k=1^6 ((a_k+1 - a_k)/36)^2 is equal...Solve ➔
#23
Let a, b, c ∈ {1, 2, 3, 4}. If the probability,...Solve ➔
#24
Let a circle C have its centre in the first quadrant, intersect...Solve ➔
#25
If α = ∫₀^(2√3) log₂(x²+4) dx + ∫₂⁴ √(2ˣ-4) dx, then α²...Solve ➔