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Total Questions: 137
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⚡ AP-EAMCET 2026 (12th May 2026 Shift 1) Catalog
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#1
[x] represents the greatest integer less than or equal to x. If...Solve ➔
#2
A and B are respectively the domain and range of a real...Solve ➔
#3
Assertion (A): 1 + (2 + 3) + (4 + 5 +...Solve ➔
#4
If P = B + C = [ 2 5 0 5...Solve ➔
#5
A is a 4 x 4 matrix. By applying a few elementary...Solve ➔
#6
For a system of linear equations AX = B solved by Cramer's...Solve ➔
#7
A point P represents a complex number z in the Argand diagram....Solve ➔
#8
A, B represent the complex numbers z1, z2 in the complex plane....Solve ➔
#9
If (1+x)^n = C0 + C1x + C2x^2 + ... + Cnx^n,...Solve ➔
#10
If alpha, beta are the roots of 6x^2 - 6x + 1...Solve ➔
#11
If , are the roots of the equation x^2 - 15x +...Solve ➔
#12
If alpha, beta, gamma are the roots of the equation x^3 +...Solve ➔
#13
If a and b are such that x^2 - x - 1...Solve ➔
#14
Let A be a set of n (>= 3) distinct elements. For...Solve ➔
#15
If n is an integer between 0 and 31, then the minimum...Solve ➔
#16
The number of ways of arranging 10 men and 5 women around...Solve ➔
#17
If in the expansion of (1+px)q, q is an element of N,...Solve ➔
#18
If the term independent of x in the expansion of (x^(1/3) -...Solve ➔
#19
If (2x^3 - 7x^2 - 2x + 20) / (x^2 - 5x...Solve ➔
#21
For b > a, the solution of the equation cot(cos^-1x) = sec{Tan^-1(a/sqrt(b^2...Solve ➔
#22
If A and B are positive acute angles satisfying 3 cos^2 A...Solve ➔
#23
For n ∈ Z, the general solution of the equation cos 3x...Solve ➔
#24
sin(2Tan^-1(1/3)) + cos(Tan^-1 2√2) =Solve ➔
#25
Sinh^(-1)(-4/3)=Solve ➔
#27
In triangle ABC, if a = 5, b = 4 and cos(A...Solve ➔
#28
In triangle ABC, if a:b:c = 7:8:9, then cos A : cos...Solve ➔
#29
If the vectors -3i + 4j + lk and ui + 8j...Solve ➔
#31
The perpendicular distance from the origin to the plane which passes through...Solve ➔
#32
If a, b, c are non-coplanar unit vectors such that a x...Solve ➔
#35
If six students, including two particular students A and B, stand in...Solve ➔
#36
A number x is chosen at random from the set {1, 2,...Solve ➔
#38
In a college, the heights of 4% of male and 1% of...Solve ➔
#39
If a random variable X has the following probability distribution X =...Solve ➔
#40
In a binomial distribution (q+p)n, if q - p = 1/4 and...Solve ➔
#41
If A(1, 2), B(2, 1), C(1, -2) and a variable point P,...Solve ➔
#42
Let P be the point of intersection of the lines 2x +...Solve ➔
#43
A line L = ax + 6y + 15 = 0 is...Solve ➔
#44
4x - y - 3 = 0 and x + 4y -...Solve ➔
#45
Suppose A is the point of intersection of the pair of lines...Solve ➔
#46
If the pair of lines x^2 + 2hxy + by^2 = 0...Solve ➔
#48
The normal drawn at the point (-1,-2) to a circle S is...Solve ➔
#49
If (h,k) is the inverse point of the point (1,3) with respect...Solve ➔
#50
The tangents drawn from the point (–1, –1) to the circle x^2...Solve ➔
#51
A circle x^2 + y^2 - 2x + 2y + 1 =...Solve ➔
#52
If (alpha, beta) is the mid point of a focal chord of...Solve ➔
#53
A tangent L1 with slope m drawn to the parabola y^2 =...Solve ➔
#54
If e is the eccentricity and LL' is the length of the...Solve ➔
#55
Let X-axis be the transverse axis and origin be the centre of...Solve ➔
#56
Let A(1, 2, 0) and B(0, -2, -1) be two points. If...Solve ➔
#57
The angle between the lines whose direction cosines are given by the...Solve ➔
#58
If the equation of the plane passing through the points (1,-3,2), (-2,3,1)...Solve ➔
#59
If lim x->0 (tan ax - sin ax) / (3 sin 2x...Solve ➔
#61
lim(x->0) (cos 2x)^(tan x) =Solve ➔
#64
If f(x) = x^2(tan x)(cos 2x) / (3^x(log x)) and f'(x) =...Solve ➔
#65
At θ = π/2 the length of the tangent to the curve...Solve ➔
#66
In the interval (-inf,0) the function f(x) = x^2 + 128/xSolve ➔
#67
If Lagrange's mean value theorem is applied on the function f(x) =...Solve ➔
#68
[x] represent greatest integer function. The difference of the maximum and minimum...Solve ➔
#69
If x belongs to (-infinity, -1), then integral 1/sqrt(x^2 - 1) dx...Solve ➔
#70
If integral (x^7 + x^11) / (1 + 2x^4 - 5x^8)^2 dx...Solve ➔
#71
If g(x) and f(x) are twice differentiable functions, then integral of (f''(x)g(x)...Solve ➔
#72
If fn(x) = integral (1 - log x)/xn dx, then f2(e) -...Solve ➔
#73
If ∫e^x (2 - x^2 / (2+x)^(3/2)√(2-x)) dx = e^x f(x) +...Solve ➔
#74
integral from log 2 to log 3 of (e^(3x) - 3e^x) /...Solve ➔
#75
Integrate sin 6x / sin x from 0 to pi/2.Solve ➔
#76
If ∫_0^2π sin^m x cos^n x dx = k ∫_0^π/2 sin^m x...Solve ➔
#77
The area of the region bounded by the curve xy = -a...Solve ➔
#78
Let the differential equation for which y = A e^x + B...Solve ➔
#79
The differential equation having y = A/x^5 + (log x)/5 - 1/25...Solve ➔
#80
The differential equation f'(y) dy/dx + P(x)f(y) = x^3 is reduced to...Solve ➔