Revise-Test- Remediate for Math: How to prepare for JEE Mains Mathematics? Practise questions and preparation Tips

JEE Mains Mathematics Preparation: Revise-Test- Remediate for Math

Math is one of the most scoring, essential and daunting subjects for students. When attempting Joint Entrance Examinations (JEE) mains, students need to have clear concepts and strategic preparations.
JEE Mentor Vikas Loya guides students on how they can prepare well according to the examination requirements. 

Preparing Math Topic wise Quadratic equations and Progressions: These are two very easy topics to score in JEE-MAINS .These topics had significant weightage in recent JEE MAINS examinations conducted by NTA.
A quick theory revision from NCERT is sufficient to score full marks in these topics. It is suggested that you to focus on basic general identities, nature of roots, and concept of common roots and maximum/minimum value of a quadratic expression. 

Other topic highlights · Try to practice questions from Symmetric functions of roots of quadratic equations and Location of roots of quadratic equation.
· Revise formulae for nth term and sum of terms in Arithmetic Progressions and Geometric Progressions along with formulae for sum of first ‘n’ natural numbers, their squares and cubes.
· Thorough revision of algorithms of solving various types of special sequences and AGP is highly recommended.
· Give a focused look on questions based on Harmonic progression and AM - GM - HM relationship.

Preparation strategy for JEE Math
· Apply Revise -Test- Remediate strategy for getting confidence over topic.
· Revise the whole topic at a glance.
· Test your preparation by solving new questions from the topic under time limits. Analyse test result and remediate by revising/practicing questions from those areas again in which you couldn’t do well. Repeat the procedure if you still face lack of confidence.

JEE Math trends
· Recent trend shows that questions based on preliminary concepts were asked, of which only few involved lengthy calculations.
· Students are advised to analyse level of calculations and expected time to solve any question during examination as excess consumption of time in any question may spoil the battle.
· Strategically lengthy questions should be left to attempt at the end.
· After suggested revision, at last, solve questions asked in January'19, April’19 and January'20 JEE MAINS examinations. This will certainly add more “Gems” in your crown of confidence.

Some Practice Questions
Q.1 The set of values of a for which inequation is true for all

(a) (b) (-¥, 1) (c) (d) none of these

Ans ( c)

Q. 2 If the equation has integral roots, then minimum value of a is

(a) 4 (b) (c) 0 (d) -4

Ans (b)

Q.3. Let a, b Î R. If a, b2 be the roots of quadratic equation x2 – px + 1 = 0 and a2, b be the roots of quadratic equation x2 – qx + 8 = 0, then the value of 'r' if r/8 be arithmetic mean of p and q, is

(a) 83/8 (b) 83/4 (c) 83/2 (d) 83

Ans (d)

Q.4 If p1, p2 are the roots of the quadratic equation ax2 + bx + c = 0 and q1, q2 are the roots of the quadratic equation cx2 + bx + a = 0 (a, b, c Î R) such that p1, q1, p2, q2 are in A.P. of distinct terms, then a/c equals

(a) – 1 (b) 1 (c) 1/2 (d) 2

Ans (a)

Q. 5. If and , where , then pq is equal to

(a) (b)

(c) (d)

Ans. (b)

Q. 6 For any x, y Î R, xy > 0 then the minimum value of equals

(a) 21/3 (b) 2 (c) 31/3 (d) 3

Ans (b)

Q. 7 Let S = . If the greatest integer less than or equal to S is I then find the value

of I /75 is [Ans. 0005]

Q. 8 If A1, A2, A3, ....... A51 are arithmetic means inserted between the numbers a and b, then find the value of - 100

[Ans. 0002 ]

Q. 9 For a, b > 0, let 5a – b, 2a + b, a + 2b be in A.P. and (b + 1)2, ab + 1, (a – 1)2 are in G.P.,
then compute (a–1 + b–1).

[Ans. 0006 ]

Q. 10 If a, b are the roots of 4x2 – 16x + c = 0, c > 0 such that 1 < a < 2 < b < 3, then find the number of integer values of 'c'

[Ans. 0003]