JEE Main Maths Mock Test- 6 - JEE MCQ

The area of the region bounded the curve y = 2x - x² and the line y = x is

If line y=2x is a chord of the circle x²+y²-10x=0, the equation of the circle drawn on the chord assuming it as a diameter is

If (cos θ + i sin θ)(cos 2θ + i sin 2θ).....(cos mθ + i + sin mθ) = 1 then the value of θ ,is (m is an integer)

If circles x²+y²+2ax+c=0 and x²+y²+2by+c=0 touch each other, then

If the amplitude of z − 2 − 3i is π/4 , then the locus of z = x + iy is

then f ′ (1)  =

The negation of the statement ' he is rich and happy' is given by

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): The function f(x)=sin x is symmetric about the line x = 0
Reason (R): Every even function is symmetric about y-axis

If N N + denotes the set of all positive integers and if f : N^{N +} → N is defined by f (n) = the sum of positive divisors of n then f (2 ^k . 3), where k is a positive integer 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-
Assertion (A): If n is a positive integer then 3²ⁿ + 7 is divisible by 8
Reason (R): G.C.F. of 16 and 88 is 8

If 3, -2, are the eigen values of a non-singular matrix A and |A| = 4, then the eigen values of adj A are

In throwing of two dice, the probability of getting a multiple of 4 is

The combined equation to the tangents to the parabola y² = 4ax from an external point A (x₁, y₁) is

If ⁿP_r=840, ⁿC_r=35, then n=

Mode is approximately given by

The equation of line passing through intersection point of lines x+5y+7=0 and 3x+2y-5=0 and perpendicular to line 7x+2y-5=0 is

The number of solutions of the equation tan²x –sec⁶x + 1 = 0 in [0, 4π] is :-

If solution of equation 3cos²θ – 2√3 sin θ cos θ – 3sin²θ = 0 are nπ + π/r and nπ + π/s then |r – s| is equal to:-

If (x₁ – x₂)² + (y₁ – y₂)² = a² ;
(x₂ – x₃)² + (y₂ – y₃)² = b² ;
(x₃ – x₁)² + (y₃ – y₁)² = c²  and
= (a + b + c)(b + c – a)(c + a – b)(a + b – c)
Then the value of k is :-

The interior angles of a convex polygon form an arithmetic progression with a common difference of 4°. Determine the number of sides of the polygon if its largest interior angle is 172°:-

 equals :-