In this article, you will get the solved practice paper of **Mathematics** which will help all JEE aspirants to know the difficulty level of the questions which can be asked in **JEE Main** Examination 2018.

After analyzing the pattern of the previous year papers of JEE Main, our subject experts of Mathematics have designed this practice paper for JEE Main Examination 2018. This paper is based on the latest syllabus of JEE Main Entrance Examination 2018.

There are **30 questions** in this practice paper of different difficulty level i.e., easy, moderate and tough. We have tried to cover every important topic of Mathematics like **Trigonometry, Integration, Differentiation, Inverse Trigonometry, Probability, Relations, Functions** etc. All questions are of objective type having four options out of which only one is correct.

After attempting this paper, students must revise all the concepts and formula where they have done the wrong answers.

**Few sample questions from the Question Paper are given below:**

**Q.** If cos^{-}^{1} α + cos^{-}^{1}β + cos^{-}^{1}γ = 3π, then α(β + γ) + β(γ + α) + γ(α + β) equals to

(a) 0

(b) 1

(c) 6

(d) 12

**Sol.(c) **

**Q. **Area of the region bounded by the curve *y* = cos *x* between *x = *0 and *x* = π is

(a) 2 sq units

(b) 4 sq units

(c) 3 sq units

(d) 1 sq* *units

**Sol.(a)**

**Q.** The locus of the centre of a circle, which touches externally the circle *x*^{2} + *y*^{2} - 6*x* - 6*y* + 14 = 0 and also touches the *y*-axis, is given by the equation

(a) *x*^{2} - 6*x* - 10*y* + 14 = 0

(b) *x*^{2} -10*x* - 6*y* + 14 = 0

(c) *y*^{2 }- 6 *x *- 10*y* + 14 = 0

(d)* y*^{2} - 10*x *- 6*y* + 14 = 0

**Sol.(d)**

**Q. **Tangents are drawn from a point on the circle *x*^{2} + *y*^{2} = *a*^{2} to the circle *x*^{2} + *y*^{2} = *b*^{2}. If the chord of contact of these tangents touches the circle *x*^{2} + *y*^{2} = *c*^{2}, then *a*, *b*, *c* are in

(a) A.P.

(b) H.P.

(c) G.P.

(d) none of these

**Sol.(c)**

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**Important topics in Mathematics for JEE Main Examination 2018**