# JEE Main Mathematics Solved Question Paper 2018

The Central Board of Secondary Education (CBSE) has conducted offline and online exam of JEE Main 2018 on April 8 and April 15, 16 respectively. Approximately, 1043739 lakh candidates appeared for JEE Main offline exam for admission to undergraduate courses in NITs, IIITs and other Centrally Funded Technical Institutions.

Every student who appeared either in offline or online mode of JEE Main 2018, is eagerly waiting for the official answer key to check the expected marks. The official answer key for all codes i.e., A, B, C and D along with the images of response sheets (OMR sheets) of both online and offline JEE Main 2018 will be released by the Central Board of Secondary Education (CBSE) on April 24. The candidates can submit the challenge if any before 11:59 pm on April 27.

In this article, we are going to provide you fully solved JEE Main Mathematics Solved Question Paper 2018. There are 30 objective type questions with only one correct option. For each correct response one mark is awarded, while 1/4 mark will be deducted for each incorrect answer. Also, no marks will be awarded for unattempted questions.

**Few sample questions from the ****JEE Main Mathematics Solved Question Paper 2018 are given below:**

** **

**Question:**

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is-

(a) less than 500

(b) at least 500 but less than 750

(c) at least 750 but less than 1000

(d) at least 1000

**Solution:**

**Question:**

A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its colour is observed and this ball along with two additional balls of the same colour are returned to the bag. If now a ball is drawn at random from the bag, then the probability that this drawn ball is red, is:

(a) 2/5

(b) 1/5

(c) 3/4

(d) 3/10

**Solution:**

**Question:**

A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is the origin and the rectangle OPRQ is completed, then the locus of R is :

(a) 2x + 3y = xy

(b) 3x + 2y = xy

(c) 3x + 2y = 6xy

(d) 3x + 2y = 6

**Solution:**

**Question:**

If the tangent at (1, 7) to the curve x^{2} = y – 6 touches the circle x^{2} + y^{2} + 16x + 12y + c = 0 then the value of c is :

(a) 185

(b) 85

(c) 95

(d) 195

**Solution:**

**Question: **

If L_{1} is the line of intersection of the planes 2x – 2y + 3z – 2 = 0, x – y + z + 1 = 0 and L_{2} is the line of intersection of the planes x + 2y – z – 3 =0, 3x – y + 2z – 1 = 0, then the distance of the origin from the plane, containing the lines L_{1} and L_{2} is :

**Solution:**

If the tangent at (1, 7) to the curve x^{2} = y – 6 touches the circle x^{2} + y^{2} + 16x + 12y + c = 0 then the value of c is :

(a) 185

(b) 85

(c) 95

(d) 195