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JEE Main Maths Mock Test- 4 - Question 1

Points A(2,2), B(-4,-4), C(5,-8) are vertices of ∆ ABC the length of the median through C is

JEE Main Maths Mock Test- 4 - Question 2

JEE Main Maths Mock Test- 4 - Question 3

Let *f(x)* be a function satisfying f ′(x) = f (x) with *f(0)* = 1 and *g(x)* be a function that satisfies *f(x) + g(x) = x*^{2}, then value of integral

is equal to

JEE Main Maths Mock Test- 4 - Question 5

If f (x) = cos [π^{2}] x + cos [− π^{2}] x where [x] is the step function, then

JEE Main Maths Mock Test- 4 - Question 6

The sum of the focal distances from any point on the ellipse 9x^{2} + 16y^{2} = 144 is

JEE Main Maths Mock Test- 4 - Question 7

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): f (x) = log x^{3} and g (x) = 3 log x are equal.

Reason(R) : Two functions f and g are said to be equal if their domains, ranges are equal and f (x) = g (x)∀ x in the domain .

JEE Main Maths Mock Test- 4 - Question 10

If is continuous at x = x_{0} , then f ′ (x_{0}) is equal to

JEE Main Maths Mock Test- 4 - Question 11

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-

Tangents are drawn from the point (17,7) to the circle x^{2}+y^{2}=169.

Statement-1:

The tangents are mutually perpendicular.

Statement-2:

The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is x^{2}+y^{2}=338.

JEE Main Maths Mock Test- 4 - Question 13

If θ + Φ = π/3 then sin θ . sinΦ has a maximum value at θ =

Detailed Solution for JEE Main Maths Mock Test- 4 - Question 13

JEE Main Maths Mock Test- 4 - Question 14

The sum of the digits in the unit place of all the numbers formed with the help of 3,4,5,6 taken all at a time is

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JEE Main Maths Mock Test- 4 - Question 15

An unbiased coin is tossed to get 2 points for turning up a head and one point for the tail. If three unbiased coins are tossed simultaneously, then the probability of getting a total of odd number of points is

JEE Main Maths Mock Test- 4 - Question 16

The probability of A = probability of B = probability of C = 1/4, P(A∩B) = P(C∩B) = 0 and P(A∩C) = 1/8, then P(A∪B∪C) is equal to:

Detailed Solution for JEE Main Maths Mock Test- 4 - Question 16

JEE Main Maths Mock Test- 4 - Question 17

If the equations x^{2}+ ba + a = 0 and x^{2} + ax + b = 0 have a common root, then a + b =

JEE Main Maths Mock Test- 4 - Question 18

If a, b, c, d, e, f are in A.P., then e - c is equal to

JEE Main Maths Mock Test- 4 - Question 19

If a line passes through points (4,3) and (2,λ) and perpendicular to y=2x+3, then λ=

JEE Main Maths Mock Test- 4 - Question 20

The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set

*Answer can only contain numeric values

JEE Main Maths Mock Test- 4 - Question 21

If a, b are odd integers then number of integral root, of equation x^{10} + ax^{9} + b = 0 is equal to :

Detailed Solution for JEE Main Maths Mock Test- 4 - Question 21

*Answer can only contain numeric values

JEE Main Maths Mock Test- 4 - Question 22

If the number of distinct positive rational numbers p/q smaller than 1, where p, q ∈ {1, 2, 3 ....., 6} is k then k is :

Detailed Solution for JEE Main Maths Mock Test- 4 - Question 22

*Answer can only contain numeric values

JEE Main Maths Mock Test- 4 - Question 23

If two distinct chords of a parabola y^{2} = 4ax passing through (a, 2a) are bisected on the line x + y = 1, then the sum of integral values of the length of possible latus rectums is equal to :

Detailed Solution for JEE Main Maths Mock Test- 4 - Question 23

*Answer can only contain numeric values

Detailed Solution for JEE Main Maths Mock Test- 4 - Question 24

*Answer can only contain numeric values

JEE Main Maths Mock Test- 4 - Question 25

If be three vectors of magnitude √3, 1, 2, such that is the angle between is equal to:-

Detailed Solution for JEE Main Maths Mock Test- 4 - Question 25

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