Sample paper maths

Sample Paper
JEE Maths
Sample Paper 2 | JEE Maths

SECTION-A

(One Options Correct Type)

This section contains 20 multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE option is correct.

Question 1:

If ,then k is

(a)

(b)

(c)

(d)

Question 2:

If the complex number is purely imaginary for , then the value of the integral is

(a)

(b)

(c)

(d)

Question 3:

If D = , then is in

(a)

(b)

(c)

(d) [1, 2]

Question 4:

Find the number of ways in which 4 girls and 5 boys can be arranged in a row, if no two girls are together.

(a)

(b)

(c)

(d) 5!

Question 5:

The minimum value of is

(a)

(b) 9

(d)

Question 6:

If the function f:[1, ) [1, ) is defined by f(x) = , then is

(a)

(b)

(c)

(d) None of these

Question 7:

If both the roots of the quadratic equation are less than 5, then k lies in the interval

(a)

(b)

(c)

(d)

Question 8:

The probability of India winning a test match against West Indies is . Assuming independence from match to match the probability that in a 4 match series India’s second win occurs at third test is

(a)

(b)

(c)

(d)

Question 9:

Period of is

(a)

(b)

(d) .

Question 10:

If ,then is equal to

(a)

(b)

(c)

(d)

Question 11:

The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and x = is

(a) 4

(b) 4

(d) 4

Question 12:

If y = has its extremum values at x = and x = 2, then

(a) a = 2, b =

(b) a = 2, b =

(d) None of these

Question 13:

If non-zero numbers are in HP, then the straight line always passes through a fixed point. That point is

(a)

(b)

(c)

(d)

Question 14:

A common tangent is drawn to the circle and the parabola If the angle which this tangent makes with the axis of is , then relationship between a and b is

(a)

(b)

(c)

(d)

Question 15:

Two conics and intersects if

(a)

(b)

(c)

(d)

Question 16:

A line AB in three-dimensional space makes angle 45° and 120° with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle with the positive z-axis, then equals

(a) 30°

(b) 45°

(d) 75°

Question 17:

In a binomial distribution B , if the probability of at least one success is greater than or equal to , then n is greater than

(a)

(b)

(c)

(d)

Question 18:

Find the angle between the lines whose direction cosines are given by l + m + n = 0 and

(a)

(b)

(c)

(d)

Question 19:

If and , then is equal to

(a)

(b)

(c)

(d) .

Question 20:

(where [.] denotes greatest integer)is

(a)

(b)

(c)

(d)

SECTION - B

(Numerical Answer Type)

This section contains 10 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place).

Question 1:

The least positive integer n for which = 1, is __________ .

Question 2:

The value of is equal to __________ .

Question 3:

If the mean and the variance of a binomial variate X are 2 and 1 respectively, and let P be the probability that X takes a value greater than one, then 16P is __________ .

Question 4:

If x, y, z are in A.P. then the value of determinant is __________ .

Question 5:

Let P = . If = , then is __________ .

Question 6:

Let be 100 sets such that and

, then contains total number of elements as ___________ .

Question 7:

The number of roots of the equation is/are __________ .

Question 8:

If ) ,then is __________ .

Question 9:

The number of common tangents that can be drawn to the following circles and , are __________ .

Question 10:

If = , then is equal to __________ .

**********

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Post-Syllabus Completion: Once you finish the syllabus, start solving sample papers. Aim to attempt at least one sample paper per week.

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Attempt the Paper: Begin solving the sample paper just as you would in the actual exam. Read each question carefully and respond to the best of your ability.

Check Answers and Identify Mistakes: After completing the sample paper, check your answers diligently. Identify the questions you answered incorrectly or struggled with.

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Revise Weak Topics: Focus on the topics or concepts where you felt less confident. Revise those areas thoroughly to strengthen your understanding.

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