PYQ Vault
EbooksTutor

Day 385: JEE Mains Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Trigonometric Equations. Asked once: 25 Jun 2022 (same type asked 7 times) See all 7 of this type

    85
    The number of values of xx in the interval (π4,7π4)\left( \frac{\pi}{4},\frac{7\pi}{4} \right) for which 14csc⁡2x−2sin⁡2x=21−4cos⁡2x14\csc^{2}x- 2\sin^{2}x= 21 - 4\cos^{2}x holds, is

  2. Question 2

    Complex Numbers. Asked once: 27 Jun 2022 (same type asked 7 times) See all 7 of this type

    61
    The area of the polygon, whose vertices are the non-real roots of the equation Zˉ=iz2\bar{Z}= iz^{2} is :

    Tap an option to check your answer.

  3. Question 3

    Vector Algebra. Asked once: 2021 Paper 4 (same type asked 7 times) See all 7 of this type

    89
    Let a→=i^+αj^+3k^\overrightarrow{a}=\widehat{i}+\alpha\widehat{j}+ 3\widehat{k} and b→=3i^−αj^+k^\overrightarrow{b}= 3\widehat{i}-\alpha\widehat{j}+\widehat{k}. If the area of the parallelogram whose adjacent sides are represented by the vectors a→\overrightarrow{a} and b→\overrightarrow{b} is 838\sqrt{3} square units, then a→⋅b→\overrightarrow{a}\cdot\overrightarrow{b} is equal to

  4. Question 4

    Definite Integration. Asked once: 26 Jun 2022 (same type asked 7 times) See all 7 of this type

    88
    The value of the integral 48π4∫0π(3πx22−x3)sin⁡x1+cos⁡2xdx\frac{48}{\pi^{4}}\int_{0}^{\pi} \left( \frac{3\pi x^{2}}{2}-x^{3} \right)\frac{\sin x}{1 +\cos^{2}x}dx is equal to

  5. Question 5

    Application of Derivatives. Asked once: 2021 Paper 20 (same type asked 7 times) See all 7 of this type

    82
    The number of distinct real roots of the equation 3x4+4x3−12x2+4=03x^{4}+ 4x^{3}- 12x^{2}+ 4 = 0 is