If log√x 0.25 = 4, then the value of x is?

If π < 2θ < 3π/2, then √(2√(2 + 2 cos 4θ equals to?

The number of solutions of x² + |x − 1| = 1 is ?

The derivative of f (x) = x | x | at x = −3 is

If cos 28⁰ + sin 28⁰ = k³,then cos 17⁰ is equal to?

If |x – 2| / x – 2 ≥ 0, then x belongs to?

If a and b are the real roots of the equation x² − kx + c = 0, then the distance between the points (a, 0) and (b, 0) is?

If A = {(x, y) : y = eˣ, x ∈ R} and B = {(x, y) : y = e⁻ˣ, x ∈ R} then n(A ∩ B) is?

Which of the following point lie on the locus of 3x² + 3y² – 8x – 12y + 17=0?

If A and B are symmetric matrices of order n, where (A ≠ B), then

The point on the line 2x – 3y = 5 is equidistance from (1,2) and (3, 4) is?

The equation whose roots are numerically equal but opposite in sign to the roots of 3x² − 5x − 7 = 0 is?

If A and B are two matrices such that A + B and AB are both defined, then

The image of the point(2,3)in the line y = -x is?

The solution of 5x − 1 < 24 and 5x + 1 > −24 is?

Let X = {1, 2, 3, 4}, Y = {a, b, c, d} and f = {(1, a), (4, b), (2, c), (3, d), (2, d)}. Then f is?

If one of the lines given by 6x² – xy + 4cy² = 0 is 3x + 4y = 0;, then c equals to?

If f (x) = x + 2, then f ‘(f (x)) at x = 4 is

The value of log₃ 1/81 is?

The function f : [0, 2π] → [−1, 1] defined by f(x) = sinx is?

If a vertex of a square is at the origin and its one side lies along the line 4x + 3y – 20 =0, then the area of the square is?

The equation of the locus of the point whose distance from y-axis is half the distance from origin is?

cos 1⁰ + cos2⁰ + cos3⁰ +……..+ cos179⁰ =?

The area of the triangle formed by the lines x² – 4y² = 0 and x = a is?

If the lines represented by the equation 6x² + 41xy – 7y² = 0 make angles α and β with x- axis, then tan α tan β =?

Which of the following is not true ?

The sum of an infinite GP is 18. If the first term is 6, the common ratio is?

If the two straight lines x + (2k – 7)y + 3=0 and 3kx + 9y – 5 = 0 are perpendicular then the value of k is?

Let R be the set of all real numbers. Consider the following subsets of the plane R × R:
S = {(x, y) : y = x + 1 and 0 < x < 2} and T = {(x, y) : x − y is an integer } Then which of the following is true?

The value of 1 – 1/2 (2/3) + 1/3 (2/3)² – 1/4 (2/3)³ + ….. is ?

Which of the following equation is the locus of (at²; 2at)?

If a and b are the roots of the equation x² − kx + 16 = 0 and satisfy a² + b² = 32, then the value of k is?

The coefficient of x⁵ in the series e⁻²ˣ is?

The length of ┴ from the origin to the line x/3 – y/4 = 1 is?

The sum up to n terms of the series √2 + √8 + √18 + √32 + ….. is?

The number of students who take both the subjects Mathematics and Chemistry is 70. This represents 10% of the enrollment in Mathematics and 14% of the enrollment in Chemistry. How many students take at least one of these two subjects is

The y-intercept of the straight line passing through (1,3) and perpendicular to 2x – 3y + 1= 0 is?

The number of relations on a set containing 3 elements is?

The number of points in R in which the function f (x) =| x −1| + | x − 3| +sin x is not differentiable, is

Let f : R → R be defined by f(x) = 1 − |x|. Then the range of f is?

Straight line joining the points (2, 3) and (-1, 4) passes through the point (α, β) if

The value of logₐ b logb c logc a is?

The coordinates of the four vertices of a quadrilateral are (-2,4), (-1,2), (1,2) and (2,4)taken in order. The equation of the line passing through the vertex(-1,2) and dividing the quadrilateral in the equal areas is?

Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 +2√2 is?

If a is the arithmetic mean and g is the geometric mean of two numbers, then

1 + 3 + 5 + 7 +……. + 17 is equal to

The number of five digit telephone numbers having at least one of their digits repeated is

The nᵗᵸ term of the sequence 1/2, 3/4, 7/8, 15/16, ….is?

If tan 40⁰ = λ, then (tan 140⁰ – tan 130⁰ / 1 + tan 140⁰ tan 130⁰) =

If |x + 2| ≤ 9, then x belongs to?

Let X = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (2, 1), (3, 1), (1, 4), (4, 1)}. Then R is?

If y = mx + c and f (0) = f ‘(0) =1, then f (2) is

θ is acute angle between the lines x² – xy – 6y² = 0, then (2 cos θ + 3 sin θ / 4 sin θ + 5 cos θ) is ?

One of the equation of the lines given by x² + 2xy cot θ – y² = 0 is?

The function f : R → R is defined by f(x) = sinx + cos x is?

Find a so that the sum and product of the roots of the equation 2x² + (a − 3)x + 3a − 5 = 0 are equal is?

If 8 and 2 are the roots of x² +ax+c = 0 and 3, 3 are the roots of x² +dx+b = 0, then the roots of the equation x² + ax + b = 0 are?

The value of (1/2!) + (1/4!) + (1/6!) + ….. Is?

The number of constant functions from a set containing m elements to a set containing n elements is?

The slope of the line which makes an angle 45⁰ with the line 3x – y = -5 are?

If kx / (x+2) (x-1) = 2/x+2 + 1/ x-1, then the value of k is?

Let R be the universal relation on a set X with more than one element. Then R is?

The equation of the line with slope 2 and the length of the perpendicular from the origin equal to √5 is?

Straight line joining the points (2, 3) and (-1 ,4) passes through the point (α, β ) if?

If pv = 81, then dp/dv at v = 9 is

The maximum value of 4 sin² x + 3cos² x + sin x/2 + cos x/2 is?

The value of log√2 512 is?

The range of the function 1 / 1-2 sin x is?

(1 + cos π / 8) (1 + cos 3π / 8) (1 + cos 5π / 8) (1 + cos 7π / 8) =

The solution set of the following inequality |x − 1| ≥ |x − 3| is ?

The relation R defined on a set A = {0,−1, 1, 2} by xRy if |x² + y² | ≤ 2, then which one of the following is true?

1 / cos 80⁰ – √3/sin 80⁰ = ?

If A = {(x, y) : y = sinx, x ∈ R} and B = {(x, y) : y = cos x, x ∈ R} then A ∩ B contains?

The line (p + 2q)x + (p – 3q)y = p – q for different values of p and q passes through the point?

The intercepts of the perpendicular bisector of the line segment joining(1,2)and(3,4)with coordinate axes are?

The sum of the digits at the 10th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

If 3 is the logarithm of 343, then the base is?

The value of the series (1/2) + (7/4) + (13/8) + (19/16) + …. is ?

Let A and B be subsets of the universal set N, the set of natural numbers. Then A’ ∪[(A∩B)∪B’] is?

For non-empty sets A and B, if A ⊂ B then (A × B) ∩ (B × A) is equal to

Given that x, y and b are real numbers x < y,b > 0, then?

If the function f : [−3, 3] → S defined by f(x) = x² is onto, then S is?

The rule f(x) = x² is a bijection if the domain and the co-domain are given by?

If the point(8,-5) lies on the locus x²/16 – y²/25 = k, then the value of k is?

The range of the function f(x) = | [x] − x|, x ∈ R is?