# Most Important 100 Maths Solved Questions for JEE Main 2019

Dec 7, 2018 12:22 IST
Most Important Maths Solved Questions for JEE Main 2019

JEE Main is one of the most popular engineering entrance exams in India. Every year, lakhs of students appeared for this exam, but only few of them are able to qualify for JEE Advanced. Most of the aspirants preparing for JEE Main are fresh candidates which means they appear in the exam right after their board exams. The syllabus of the JEE Main exam is based on the class 11th and class 12th NCERT books which is a favorable factor for the fresher students. But repeaters can also take a lead by revising their whole year’s learning in a proper way. Students who have to appear for JEE Main right after the board exams are generally confused with the important topics from which the questions are being generally asked in the exam. Generally, the questions are not repeated in JEE Main but the concepts are frequently repeated. Students preparing for the exam must familiar with the important topics.

Here, we are going to provide you solved questions of Mathematics which are very important from the viewpoint of JEE Main 2019. The solutions are elaborate and easy to understand. We have collected these questions after the detailed analysis of last 5 years’ papers. Questions are from important topics of Maths like Application Of  Derivatives, Vector, Limits, 3-Dimensional Geometry, Definite Integrals, Area Under Curve, Trigonometric Equations, Indefinite Integrals, Probability, Straight Lines, Circle, Complex Numbers, Height & Distance, Statistics, Binomial Theorem, Hyperbola, Permutation & Combination, Determinants and Matrix, Sets & Relations, Parabola, Differentiability, Mathematical Reasoning, Differential Equations, Sets & Relations, Progression & Series.

All the aspirants need to keep a track of their preparedness by practicing more and more questions based on each important topic for JEE Main test. Students can download the complete collection of the questions in the PDF form with the help of the link given at the end of this article.

Tips to revise JEE Main syllabus at last moment

Some sample questions are given below:

Question:

The smaller of 99100 + 100100 and 101100, is

(a) 99100 + 100100

(b) Both are equal

(c) 101100

(d) None of these

Solution: (a)

Question:

If three successive terms of a G.P with common ratio r (r > 1) form the sides of a triangle ABC and [r] denotes greatest integer function, then [r] + [−r] is

(a) 0

(b) 1

(c) −1

(d) None of these

Solution: (c)

Let us suppose the sides of the triangle be a, ar and ar2 (being the largest side as r > 1).

Question:

Eighteen guests have to be seated, half on each side a long table. Four particular guest desires to sit on one particular side and three others on the other side. The number of ways in which the seating arrangement can be made, is

Question:

The sum of all four digit numbers that can be med using the digits 1, 2, 3, 4, when repetition of digits is not allowed, is

(a) 36600

(b) 66000

(c) 36000

(d) 66660

Solution: (d)

What are the commonly asked important topics of Class 11th syllabus for JEE Main?

Question:

The locus of the centre of a circle, which touches externally the circle x2 + y2 - 6x - 6y + 14 = 0 and also touches the y-axis, is given by the equation

(a) x2 - 6x - 10y + 14 = 0

(b) x2 -10x - 6y + 14 = 0

(c) y2 - 6 x - 10y + 14 = 0

(d) y2 - 10x - 6y + 14 = 0

Solution: (d)

We have x2 + y2 - 6x - 6y + 14 = 0

Let C be the centre of the circle. So, the coordinates of the centre of the circle is C (3, 2).

Since CA and CB are perpendicular to PA and PB, CP is the diameter of the circumcircle of triangle PAB.

So, the equation of the circle with the end points of the diameter as (1, 8) and (3, 2) is