JEE Main Maths Mock Test- 7 - JEE MCQ

A circle passes through (0,0) and its centre lies on y=x. If it cuts the circle x²+y²-4x-6y+10=0 orthogonally, then its equation 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-
Let n ≥ 3 and let the complex numbers α₁ , α₂ , . . . , α_n be the roots of xⁿ − 1 = 0 with α₁ = 1 .
Assertion(A) :For any positive integer is again a positive integer.
Reason(R) :For any positive integer

If y=x²(x-2)², then the values of x for which y is increasing, are

Let the function f be defined by f(x) = 2x + 1/1- 3x. Then f⁻¹(x) is

When y = 3, which of the following is FALSE?

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): If f : R → R defined by f (x) = x³ then f is one one onto
Reason(R) : Function f is strictly decreasing on 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 = sin (ax + b) is a general solution of y" + a² y = 0 .
Reason(R) : y = sin (ax + b) is a trigonometric function.

If A is a square matrix such that A² = I, then A⁻¹ is equal to

If x+y+1=0 tocuhes the parabola y²=λx,then λ is equal to

A polygon has 44 diagonals. The number of its sides is

If P(B)=(3/4), P(A∩B∩C̅) = (1/3) and P(A̅∩B∩C̅) = 1/3, then P(B∩C) is

Given n = 10, ∑x = 4, ∑y = 3, ∑x² = 8, ∑y² = 9 and ∑xy = 3, then coefficient of correlation is

The straight line x + y = a will be a tangent to the ellipse x²/9 + y²/16 = 1 if a =

Let   then the value of a + b is:

Let f(x) = [2x³ – 5]; then number of points in (1, 2) where the function is discontinuous are where [.] → G.I.F.

Let f(x) be a function given by
f(x + y) = f(x) + f(y) for all x, y. Let f '(5) exist and is equal to 7, then ?

The equation of the perpendicular bisectors of the sides AB and AC of a triangle ABC are y = x and y = –x, respectively. If the point A is (1, 2), then the area of ΔABC is :-

If the foci of the ellipse  and the hyperbola  coincide, then the value of b² is:-