JEE Main Maths Mock Test- 8 - JEE MCQ

The radical axis of the circles, belongs to the coaxial system of circles whose limiting points are (1,3) and (2,6) is

If the line 2x - y + k = 0 is a diameter of the circle x² + y² + 6x -6y + 5 =0, then k is equal to

If z₁ and z₂ are any two complex numbers then |z₁ + z₂|² + |z₁ - z₂|² =

The complex equation |z + 1 − i| = |z + i − 1| represents a

If y=sin((1+x²)/(1-x²)), (dy/dx)=

Which of the following is a Contradiction ?

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): Three vectors
Reason (R): The coplanar vectors are linearly independent

In the following question, a Statement-1 is given followed by a corresponding Statement-2 just below it. Read the statements carefully and mark the correct answer-
Consider the system of equations
x - 2y + 3z = -1
- x + y - 2z = k
x - 3y + 4z = 1
Statement-1:
The system of equations has no solution for k ≠3.
Statement-2:
The determinant

Twelve students compete for a race. The number of ways in which first three prizes can be taken is

The tangents at the points a on the parabola are at right angles if

Points (0,0), (2,-1) and (9,2) are vertices of a triangle, then cosB =

The angle between the lines (x - 1)/1 = (y - 1)/1 = (z - 1)/2 and (x - 1)/(- √3 - 1) = (y - 1)/(√3 - 1) = (z - 1)/4 is

If function ƒ(x) = x³ + ax² + bx + c is monotonically increasing ∀ x ∈ R, where a & b are prime numbers less than 10, then number of possible ordered pairs (a,b) is

Suppose that ƒ is differentiable for all x such that ƒ'(x) ≤ 2 for all x. If ƒ(1) = 2 and ƒ(4) = 8 then ƒ(2) has the value equal to -

Consider then I₁ + I₂ is equal to 

If m = is equal to:-

Let y = g(x) be the inverse of a bijective mapping f : R → R, f(x) = 3x³ + 2x. The area bounded by graph of g(x), the x-axis and the ordinate at x = 5 is -